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		<id>https://www.conservapedia.com/index.php?title=User:KyleT&amp;diff=806745</id>
		<title>User:KyleT</title>
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		<updated>2010-08-17T19:44:45Z</updated>

		<summary type="html">&lt;p&gt;KyleT: enough&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{retired}}&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=806163</id>
		<title>Talk:Counterexamples to Relativity</title>
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		<updated>2010-08-16T15:54:01Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Countering the counterexamples */ new section&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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{{articletalkheader|prefix=archive}}&lt;br /&gt;
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'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
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----&lt;br /&gt;
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== Point 4 ==&lt;br /&gt;
&lt;br /&gt;
Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
&lt;br /&gt;
:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
&lt;br /&gt;
::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
  &lt;br /&gt;
:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
&lt;br /&gt;
::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
  &lt;br /&gt;
:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
   &lt;br /&gt;
:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
&lt;br /&gt;
:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
  &lt;br /&gt;
:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
&lt;br /&gt;
::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
[[User:MLS|MLS]] 16:07, 15 August 2010 (EDT) I would argue that the nuclear bomb and atomic energy in general are pretty useful inventions. These came about once it was understood that energy and matter were manifestations of the same thing and could be interchanged. E=mc&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; is not just a fancy mathematical equation but a new &amp;amp; different way of understanding the physical universe. It took scientists about 3 years (1942 - 1945) between concept and execution (poor word choice) to develop a weapon based on this understanding that ended WW II.  MLS 15 August 2010.&lt;br /&gt;
&lt;br /&gt;
== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
&lt;br /&gt;
For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
     &lt;br /&gt;
Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
&lt;br /&gt;
Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
&lt;br /&gt;
Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
            &lt;br /&gt;
But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
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I agree that this point is invalid. I have personally checked that if you take a massive particle, and make its rest mass tend to zero and its speed tend to c ''while keeping its energy constant'', its four-momentum approaches that of a photon. No discontinuity at all. Since this point has been raised 8 months ago and no opposition has been heard, I will delete point 4 from the list. If anyone is interested to see the details of my calculations, let me know and I'll put them in my userspace. [[User:Toph|Toph]] 09:38, 14 August 2010 (EDT)&lt;br /&gt;
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:The &amp;quot;keeping its energy constant&amp;quot; is a new condition that has no clear relevance to the discontinuity.  Please explain further.--[[User:Aschlafly|Andy Schlafly]] 09:54, 14 August 2010 (EDT)&lt;br /&gt;
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== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
&lt;br /&gt;
The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
&lt;br /&gt;
:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
&lt;br /&gt;
:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
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::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
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::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
&lt;br /&gt;
::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
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:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
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::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
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::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
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: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
&lt;br /&gt;
*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
&lt;br /&gt;
I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
  &lt;br /&gt;
::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
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IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
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As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
&lt;br /&gt;
:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
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::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
&lt;br /&gt;
:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
&lt;br /&gt;
:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
&lt;br /&gt;
:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
&lt;br /&gt;
::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
&lt;br /&gt;
::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
&lt;br /&gt;
::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:: No.  Eating an Apple helps you by giving your body some of the chemical components that constitute the apple.  Components which also happen to help you fight off viruses and the like.  The same is true for the aspirin.  Both are well defined chemical processes that involve no increase or decrease in the amount of matter or energy in the system.  Healing (such as Jesus mending the ear of the soldier), would involve the rapid solidification of matter that was not there before (ie. the new ear).  This is a clear violation of the second law of thermodynamics.  The point is,if you're going to use miracles or signs to disprove a physical theory, you have to apply the argument to universally.  But you don't because attacking the Second Law of Thermodynamics would knock the crutch of misinterpreted Newtonian Physics you have been leaning on out from underneath you.&lt;br /&gt;
::[[User:LoganBertram|LoganBertram]] 3:32 9 August 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
Following was taken from Schlafly user page and put here, where it should have been (my apologies)&lt;br /&gt;
&lt;br /&gt;
(This is my first edit ever on a wiki/conseri board, so you'll have to excuse me if I did it incorrectly)&lt;br /&gt;
&lt;br /&gt;
I have a concern with your post of &amp;quot;Counterexamples of Relativity&amp;quot; Your argument labeled 9:&lt;br /&gt;
&lt;br /&gt;
The action-at-a-distance by Jesus, described in John 4:46-54.&lt;br /&gt;
&lt;br /&gt;
It is not a counter example of relativity. The concept that the theory is broken down because Jesus is able to break it does not apply. Jesus worked miracles. So does God. Because of this, they are able to break laws and/or theories of physics. I haven't taken the time to go over the rest of the points in your counterexamples, but that one definitely doesn't work. If you are going to argue against me, then you are arguing against the Bible. Jesus broke several laws of physics. The biggest example is when he walked on water. Physics would state that by buoyancy laws he would not be able to do this. Does this call into question the physics buoyancy? It definitely does not.--mvgilpatrick 10 August 2010 (CDT)&lt;br /&gt;
&lt;br /&gt;
:Relativity says that action-at-a-distance is impossible. That's not true of other examples. No physical law, for example, proves that rising from the dead is impossible.--Andy Schlafly 13:40, 12 August 2010 (EDT) &lt;br /&gt;
&lt;br /&gt;
::Wouldn't the physical law of gravity and buoyancy make walking on water &amp;quot;impossible&amp;quot;? The only way Jesus could have done it would to have either had some sort of special technology that hadn't been invented yet, or, he is God and can break the laws of gravity and therefore physics (you know, do the &amp;quot;impossible&amp;quot;). Why can he break this law, but not break the theory of relativity? Please address this specific example.&lt;br /&gt;
&lt;br /&gt;
::I can add another example. What about the law of mass conservation? Mass can not be created or destroyed. This is a law, and it is taught as a matter of fact that it is impossible to do otherwise. In Matthew 14:13-21, Jesus was able to feed 5,000 people with 5 loaves and 2 fish. He created mass (lots of food) out of very little (small amount of food). He broke another law of physics. He did the impossible. Again I say, is it not possible for him to break the theory of relativity, whilst still leaving it intact?&lt;br /&gt;
&lt;br /&gt;
::Also please note that I am arguing for Jesus being God, not against, so please do not mistake that. --mvgilpatrick 17:50, 12 August 2010 (CDT)&lt;br /&gt;
&lt;br /&gt;
::: No, I don't think all these examples are the same.  Physics does ''not'' categorically state that it is impossible for a creature to walk on water.  Physics does ''not'' say that replication is impossible.  There is no reason to think the multiplication of the loaves generated mass from nothing, rather than using existing mass to replicate.  But Relativity does insist that action-at-a-distance is impossible.&lt;br /&gt;
&lt;br /&gt;
::: Nothing described in the Bible violates physics.  Newton used the Bible to guide him to the truth for that reason.--[[User:Aschlafly|Andy Schlafly]] 21:36, 12 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== lack of a single useful device ==&lt;br /&gt;
&lt;br /&gt;
At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
&lt;br /&gt;
''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
&lt;br /&gt;
GPS seems to be a useful device!&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
&lt;br /&gt;
:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
&lt;br /&gt;
::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
&lt;br /&gt;
::Accelerators have applications beyond basic research!&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
&lt;br /&gt;
::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::::Bah...  My engineering professor worked at a synchrotron at Brookhaven National Laboratory.  He was in charge of a beam line for the Naval Research Laboratory.  They are actually very interesting devices in that they really help with all fields of science and even fields outside of it.  My one friend conducted some research with a synchrotron when doing research with fuel cells.  My engineering professor studied magnetic materials with a synchrotron.  Every once in a while you also find stories like this http://news.discovery.com/human/brain-human-ancestor-skull.html which actually wouldn't have been possible without the synchrotron.  I'm only just scratching the surface of how useful they are.  Would you like some more information?  [[User:AdamYak|AdamYak]] 14:35, 10 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::::Yes, I would like more support for your claim.  Relativity is not even part of most engineering curricula.--[[User:Aschlafly|Andy Schlafly]] 09:17, 11 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
Are not the atomic bomb and nuclear power examples of inventions based on the equivalence of matter and energy?  MLS 9 Aug 10&lt;br /&gt;
&lt;br /&gt;
== GPS revisited ==&lt;br /&gt;
&lt;br /&gt;
The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
&lt;br /&gt;
''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
&lt;br /&gt;
As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
&lt;br /&gt;
''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
&lt;br /&gt;
Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::The Time Service Department – a department of the U. S. Navy - states: “The Operational Control System (OCS) of the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require – transformations to and from the individual space vehicles (SVs), the Monitor Stations (MSs), and the users on the surface of the rotating earth, and the geocentric Earth Centered Inertial System (ECI) in which the SV orbits are calculated. There is a very good reason for the omission: the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”&lt;br /&gt;
&lt;br /&gt;
::Sorry, Frank. {{unsigned|PhyllisS}}&lt;br /&gt;
&lt;br /&gt;
:::As far as I can see there is no reason to feel sorry for FrankC: Your article only covers the idea of using the [[Lorentz transformation instead]] of the [[Galileo transformation]] when calculating the position of an object: one could say that it is about the relativistic effects caused by the movement of the GPS receiver, not of the GPS satellites. That's why it's talking about ''fast moving air-planes and satellites''.&lt;br /&gt;
:::FrankC (and others) have shown that there are relativistic effects on the satellites which are taken account of:&lt;br /&gt;
::::[http://www.navcen.uscg.gov/pubs/gps/sigspec/gpssps1.pdf Global Positioning System Standard Positioning Service Signal Specification], 2nd edition, June 1995:&lt;br /&gt;
&lt;br /&gt;
::::p. 13: ''To compensate for relativistic effects, the output frequency of the satellite's frequency standard -- as it would appear to an observer located at the satellite -- is 10.23 MHz offset by a Df/f = -4.4647 x 10-18 or a Df  = -4.567 x 10-3 Hz.''&lt;br /&gt;
&lt;br /&gt;
::::p. 39: ''The coefficients transmitted in subframe 1 describe the offset apparent to the control segment two-frequency receivers for the interval of time in which the parameters are transmitted.  This estimated correction accounts for the deterministic satellite clock error characteristics of bias, drift and aging, as well as for the satellite implementation characteristics of group delay bias and mean differential group delay.  Since these coefficients do not include corrections for relativistic effects, the user's equipment must determine the requisite relativistic correction.  Accordingly, the offset given below includes a term to perform this function.'' &lt;br /&gt;
::: (From [[Talk:Global Positioning System]])&lt;br /&gt;
::: [[User:RonLar|RonLar]] 12:44, 3 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::: I would like to second the points made by [[User:RonLar|RonLar]] in that there is far too much evidence and calculations that indicate just how vital GR is to accurate calculations. The effects of gravitational and time dilation predicted by general relativity are not negligible over the course of one day. The article linked to above by [[User:RonLar|RonLar]] is a fantastic review of some of the mathematics behind the (verifiable) predictions made by the theory of general relativity. - 14th August 2010 [[User:NotesTH|NotesTH]]&lt;br /&gt;
&lt;br /&gt;
== Several Clarification/Corrections ==&lt;br /&gt;
&lt;br /&gt;
I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
&lt;br /&gt;
1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
&lt;br /&gt;
5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
&lt;br /&gt;
6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
&lt;br /&gt;
7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
&lt;br /&gt;
8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
&lt;br /&gt;
9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
     ::I believe a blackhole's entropy is determined by the surface area of its event horizon. In this sense, it doesn't have low entropy at all. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
&lt;br /&gt;
I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:REPLY BELOW:&lt;br /&gt;
&lt;br /&gt;
::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
&lt;br /&gt;
::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
&lt;br /&gt;
::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
&lt;br /&gt;
::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
&lt;br /&gt;
::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
&lt;br /&gt;
The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
&lt;br /&gt;
[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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General relativity predicts that space-''time'' should be curved and not just spatial sections of the 4D spacetime manifold.  And space-time is indeed observed to be curved (because the universe is expanding and is hence described by a curved FRW metric).  This is true even if space alone is flat, as it is observed to be. That space is observed to be flat doesn't contradict relativity - it is a question of initial conditions of the universe and has a neat solution in inflationary cosmology. So Point no. 6 is absolutely unnecessary. Of course, most of the other points are too. But I just want to see how Andy will respond to this and edit the article so that it indeed can be said to belong to a &amp;quot;trustworthy encyclopedia&amp;quot;.&lt;br /&gt;
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[[User:Saywhat|Saywhat]] 08:19, 13 August 2010 (EDT)&lt;br /&gt;
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: Your &amp;quot;of course&amp;quot; convinces no one.  Why would you start with point 6 if you &amp;quot;of course&amp;quot; had answers for points 1-5?&lt;br /&gt;
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: Relativity does imply that space as well as space-time are curved.  The observation of a flat universe does contradict what would be expected if Relativity were true.--[[User:Aschlafly|Andy Schlafly]] 10:03, 13 August 2010 (EDT)&lt;br /&gt;
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:::: A trivial solution to Einsteins field equations for a vacuum can result in Minkowski spacetime. This is a 4D metric describing a pseudo-Riemannian manifold with no spatial curvature (i.e. flat). A requirement of GR is that in locally inertial frames (i.e. small enough regions of spacetime) we recover Minkowski spacetime. It's just that in GR the requirement of a locally Minkwoski spacetime does not always extend to a global case with curvature effects breaking down the notion of inertial frames for all observers. This means that a flat spacetime is a valid prediction arising from General Relativity. The presence of matter will, generically, curve spacetime but certain models such as the FLRW models used in cosmology permit solutions that predict a spatially flat Universe under a given condition. It should also be noted that the FLRW models are not static and do change with time.&lt;br /&gt;
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::::The observation of a flat Universe (spatial curvature parameter, K = 0 in the FLRW metric) is not in violation of GR and is a valid solution to Einsteins field equations (see e.g. Friedmanns Equations) and a generic prediction of models for inflationary cosmology whereby a rapid expansion in the early Universe drives the Universe towards a spatially flat solution, certainly within the observable Universe. Predictions from GR are still obeyed contrary to the comment &amp;quot;flat universe does contradict what would be expected if Relativity were true&amp;quot;.&lt;br /&gt;
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:::: I do not feel that the point in discussion is in any way a counterpoint to relativity. If other objections arise then perhaps this point would need to be further clarified so that any issues may be appropriately discussed? 15th August 2010&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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:::::::: An additional clarification to the previous discussions: According to Einsteins equations (neglecting the cosmological constant for now):&lt;br /&gt;
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 &amp;lt;math&amp;gt; G_{ab} = R_{ab} - \frac{1}{2} g_{ab} R = 8 \pi G T_{ab} &amp;lt;/math&amp;gt; &lt;br /&gt;
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in which: &amp;lt;math&amp;gt; R_{ab} &amp;lt;/math&amp;gt; is representative of the curvature of spacetime (Ricci tensor) and &amp;lt;math&amp;gt; T_{ab} &amp;lt;/math&amp;gt; is representative of the matter/energy content of the given model (Stress-Energy tensor). So Einsteins equations state that the presence of matter gives rise to curvature effects in spacetime. In FLRW cosmology the existence of a spatially flat solution is possible if the total density ~ critical density required for a flat Universe. The fact that the Universe is non-static and we currently include a dark energy component does not mean that a Universe that is currently observed to be spatially flat is in conflict with predictions of General Relativity. The flatness problem is more of an initial value problem/fine tuning problem than that of a breakdown in GR.&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitational field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;br /&gt;
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::::::: You take a narrow view of the significance of a &amp;quot;conservative field.&amp;quot;  Independent physical attributes should remain path-independent as well for the field to be conservative.  In Newtonian mechanics and most other physical force fields, they do.--[[User:Aschlafly|Andy Schlafly]] 15:41, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::: By a conservative field, I mean a vector field on space for which there exists a scalar function V with the gradient of V given by that vector field.  This doesn't imply the path-independence of any physical quantities other than V itself.  If you this view as too narrow, can you tell me what you take to be the definition of a conservative field? --[[User:KyleT|KyleT]] 15:57, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::: Your definition is too narrow when discussing the theory of relativity, which describes the framework in which the force operates.  To be meaningful, the definition must be broader.  It must ensure the path independence of the scalar, as well as other scalars independent of that scalar.--[[User:Aschlafly|Andy Schlafly]] 18:12, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::::: Can you tell me what the correct definition is, then?  I have pretty good background in this stuff, no need to dumb it down, just be precise.  Certainly no field at all is going to conserve every scalar function, so I'd like to know which ones you want. --[[User:KyleT|KyleT]] 18:20, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::::: Kyle, I have an [[Essay:Quantifying Openmindedness|open mind]] about this, and don't see a precise definition anywhere that would be meaningful with respect to the theory of relativity.  It's striking how relativists avoid this issue, and even stop discussing it when it is brought up.&lt;br /&gt;
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::::::::::: I can propose a definition that you may be able to improve.  How about: a conservative theory of motion is one whereby scalar values of a particle are independent of its path of motion.--[[User:Aschlafly|Andy Schlafly]] 18:36, 2 August 2010 (EDT)&lt;br /&gt;
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That's an interesting proposal, and I too have an open mind about this.  Can you give an example of such a ''conservative theory of motion''?  One such would greatly help in devising the correct definition. --[[User:KyleT|KyleT]] 19:29, 2 August 2010 (EDT)&lt;br /&gt;
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:Newtonian mechanics would be an obvious example.  By the way, how do you explain the general lack of discussion and papers about whether the theory of relativity is conservative, including the abrupt departure of User:Simeon from this discussion?--[[User:Aschlafly|Andy Schlafly]] 21:58, 2 August 2010 (EDT)&lt;br /&gt;
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:: Some scalar values in Newtonian mechanics are conserved because there exist associated conservative fields (or more generally [[Noether's Theorem|symmetries of the Lagrangian]]).  What is an example of a scalar value in the Newtonian mechanics that is not of this type, which makes this a conservative theory of motion while relativity is not? &lt;br /&gt;
::I don't know why relativity's defenders won't confront this.  Maybe that could be the topic of the debate page -- I'm interested using this discussion to sharpen counterexample 21. --[[User:KyleT|KyleT]] 23:55, 2 August 2010 (EDT)&lt;br /&gt;
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::: This is a really interesting discussion. I think I made a gross mistake in my first post. The theory of relativity urges us to think of the three space coordinates (x, y, and z) and the time coordinate (t) as four coordinates of space-time - that is, that space and time are pretty much the same. I extrapolated from this that since there can be a (conservative) gravitational field in space coordinates, there can also be some sort of conservative field depending on the time coordinate. I then extrapolated this notion to special relativity, and the twin paradox; I postulated that maybe time dilation effects were the work of a non-conservative field that was dependent on the t-coordinate. Now I see that this was all somewhat foolish. However, I wanted to ask you all: can you have a conservative or non-conservative field with respect to time? If not, I think time should '''not''' be considered as almost the same thing as x, y, z space. I feel that the ability for a dimension to have a field (conservative or not) is integral to its being considered a space-like dimension.&lt;br /&gt;
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::: Aschlafly, the fact that the twin paradox exists in general relativity is '''irrelevant'''. Yes, sure, the twin paradox occurs within space where general relativity is working, but there are no effects acting on the twins that influences the twin paradox in any way. Likewise, User:Simeon 's departure is also '''irrelevant'''.&lt;br /&gt;
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::: What about black holes, though? Surely their gravitational fields aren't conservative, since once an object passes the event horizon, you can't retrieve it. [[User:PhyllisS|PhyllisS]] 01:24, 3 August 2010 (EDT)&lt;br /&gt;
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Phyllis:&lt;br /&gt;
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You seem to be very curious about this topic.  I'm going to try to give an intuitive, but nevertheless scientifically correct, explanation of what is going on with relativity, the &amp;quot;twin paradox&amp;quot;, and vector fields, potential functions, and path integrals.  This explanation will probably seem long and tedious, for which I apologize in advance.  I also apologize if it seems that I am being too &amp;quot;folksy&amp;quot;, or talking down to you.  Please bear with me, and please pay close attention.&lt;br /&gt;
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We have a parking lot, and two twins, who are fitness enthusiasts and always wear pedometers wherever they go.  There are two spots, &amp;quot;X&amp;quot; and &amp;quot;Y&amp;quot;, painted on the parking lot.  Both people stand on spot &amp;quot;X&amp;quot;, set their pedometers to zero, and start walking.  Twin A simply walks directly to spot Y.  Twin B, being more into fitness, walks all over the place, eventually arriving at B.&lt;br /&gt;
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Now there are quite a number of things we can say.  First, the temperatures vary all over the place.  They are a ''scalar field''.  That means that they are associated with ''location on the parking lot'', not with any particular observer.  They are objective measurements that everyone agrees on, because they are aspects of space itself.  Our fitness enthusiasts are also amateur meteorologists, and carry thermometers around with them.&lt;br /&gt;
&lt;br /&gt;
::Twin A: &amp;quot;When I was at the green Toyota, I noticed that the temperature was 67 degrees Fahrenheit.&amp;quot;&lt;br /&gt;
::Twin B: &amp;quot;By coincidence, I also wandered past the green Toyota, and got the same reading.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
By the way, since temperature is a scalar field, it has a gradient, which is a vector field.  That field is conservative, according to the theorem of mathematical physics that says that curl grad &amp;amp;Phi; = 0 always.  This gradient is a ''vector field''.  Like the scalar of temperature, it is a property of the ''space (parking lot) itself''.  If the twins had been measuring this gradient (perhaps they carry around fancy &amp;quot;differential thermometers&amp;quot;), they would have gotten the same vector at the green Toyota.&lt;br /&gt;
&lt;br /&gt;
There is also a theorem of mathematical physics, sort of the opposite of the theorem above, that says that, if a vector field V has a curl of zero:&lt;br /&gt;
*You can make a scalar field &amp;lt;math&amp;gt;\Phi\,&amp;lt;/math&amp;gt; (a property of the space itself, not tied to any particular observer) that it is the gradient of.  That scalar field is called the &amp;quot;potential&amp;quot; for the (conservative) vector field.  (By the way, this is very closely related to &amp;quot;exact differential equations&amp;quot; that you wrote about!  Do you see the connection?)&lt;br /&gt;
*If you integrate that vector field along any path between two points A and B (that is, you calculate&lt;br /&gt;
:::&amp;lt;math&amp;gt;\int_A^B \vec{V} \cdot dl&amp;lt;/math&amp;gt;&lt;br /&gt;
for that path, where &amp;quot;dl&amp;quot; is the &amp;quot;line element&amp;quot; along the path), you will get &amp;lt;math&amp;gt;\Phi(B)-\Phi(A)\,&amp;lt;/math&amp;gt;.&lt;br /&gt;
*Since &amp;lt;math&amp;gt;\Phi(B)-\Phi(A)\,&amp;lt;/math&amp;gt; is a property of the scalar field itself (and the points A and B), it follows that that path integral is the same for all paths.  And if the path ends on the same point it started on, the integral is zero.&lt;br /&gt;
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::Twin A: &amp;quot;I was measuring the gradient of the temperature as I walked, and calculating its path integral as I went.  I got an answer of 4 degrees.&amp;quot;&lt;br /&gt;
::Twin B: &amp;quot;I was doing the same.  My integral was much harder to calculate, because I was going all over the place.  But I also got 4 degrees.  Hey, wait a minute!  The temperature at the start point was 68 degrees, and at the end point it was 72 degrees.  That explains it.&amp;quot;&lt;br /&gt;
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Now someone at the edge of the parking lot was running a Van deGraff generator, so there were electric fields all over the place.  The twins are also physics students, and carry electroscopes wherever they go.  They measured the electric field, and calculated its path integrals.  The electric field is conservative (in the absence of varying magnetic fields), so they got the same integral.  That integral was 600 volts (it's only static electricity, so it isn't dangerous).  Since the electric field is conservative, there is, by the previous theorem, a potential function.  That function was 600 volts higher at point B than at point A.&lt;br /&gt;
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Now here's the kicker:&lt;br /&gt;
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::Twin A: &amp;quot;I walked directly from A to B.  My pedometer says 150 feet.&amp;quot;&lt;br /&gt;
::Twin B: &amp;quot;I took a long route all over the place.  I walked half a mile.&amp;quot;&lt;br /&gt;
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The pedometer readings ''are not a scalar field''.  They are not a property of the space itself.  They are properties of the observers.  Even though they, in some sense, measure an aspect of the parking lot (how many molecules of asphalt one passes), they are artifacts of the twins' actions.&lt;br /&gt;
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The twins could have been integrating their motion vectors; that's sort of what pedometers do.  But those vectors are not a vector field on the space itself.  It makes no sense to ask whether that &amp;quot;vector field&amp;quot; is conservative, because it isn't a vector field.  A vector (or scalar, or tensor) field has to be a property ''of the space itself''.  These &amp;quot;pedometer vectors&amp;quot; are just things that the twins make up as they walk.&lt;br /&gt;
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 &lt;br /&gt;
Now for the &amp;quot;twin paradox&amp;quot;.  The parking lot is replaced by &amp;quot;Minkowski space&amp;quot;, also called &amp;quot;4-dimensional space-time&amp;quot;.  &amp;quot;Points&amp;quot; in this space are now &amp;quot;events&amp;quot;, complete with a time.  Events A and B are now the act of the twins saying goodbye as one of them got into the rocket, and the act of them re-uniting after B returns.  Twin A took a direct route (called her &amp;quot;world line&amp;quot;) from A to B.  She used a coordinate system in which the spatial coordinates of A and B were the same (Cape Canaveral, latitude yada yada, etc.) and the time coordinate differed by 30 years (2010 to 2040.)  B went to Alpha Centauri and back.  When she returned, they were both using the same coordinate system (location is Cape Canaveral, latitude yada yada, time is 2040.)  But she looks at her watch, and only 5 years have elapsed!  What the watch shows is ''not a scalar field on spacetime''.  It was ''not the path integral of a vector field on spacetime''.  What she integrated was the ticking of her watch, nothing more.&lt;br /&gt;
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The path that A took is called a geodesic.  It is the Minkowski-space equivalent of a &amp;quot;straight line&amp;quot;.  But, because of the peculiarities of relativity, it shows the ''longest'' elapsed time (30 years) of all paths, rather than the shortest.  By going to Alpha Centauri, twin B took a shorter path, in terms of the way path length is measured in Minkowski space.&lt;br /&gt;
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Very interesting fact:  The path length in Minkowski space, that is, the sum of the tiny distances as measured by the Lorentz/Minkowski metric, ''is the same as the local time''.  That is (assuming you are using the &amp;quot;spacelike convention&amp;quot;), everyone's wristwatch measures path length along their own world line.  The twins simply followed paths of different lengths.  That's all there is to the &amp;quot;twin paradox&amp;quot;.  (That is, that's all there is to it, if you analyze it correctly, as I have described above.  Most introductory treatments of relativity don't do it this way.  They just throw the Lorentz transform at you.)&lt;br /&gt;
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&lt;br /&gt;
Now there are a few points about the &amp;quot;twin paradox&amp;quot; that people find confusing.&lt;br /&gt;
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First, aren't the laws of physics supposed to be the same for everyone?  What made twin B's watch run slower?  Well, she ''knew'' she was traveling at high speed.  She brought an accelerometer with her in the rocket.  Just as twin B in the parking lot knew she was walking all over the place, turning around and such, twin B in space knew that her world-line was turning, and therefore wasn't a straight line (geodesic).  How did she know?  It takes force to make you deviate from a geodesic (this is really pretty much the same as Newton's laws of motion), and she felt the force.&lt;br /&gt;
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Second, how can we analyze the curvature of B's world line?  Here's where general relativity has to come in.  As soon as world lines start to curve, you have to measure their curvature, that is &amp;quot;geodesic curvature&amp;quot;.  You get into complicated issues of curved coordinate systems (you're in one now; it's what you perceive as &amp;quot;gravity&amp;quot;!), and curved spacetime, and so on.  And you get into the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; symbols, which measure the deviation from a geodesic, and hence the &amp;quot;fictitious forces&amp;quot; that you feel.  This is why general relativity is related to the &amp;quot;twin paradox&amp;quot;, in that the space ship followed a curved trajectory and experienced acceleration.  But, to analyze the plain facts of the &amp;quot;twin paradox&amp;quot;, all you really need to know is that twin B followed a crooked line.  Place your ruler on a diagonal on the graph of Minkowski space, draw the line out to Alpha Centauri.  Turn the ruler, draw the returning line.  Ignore the impossibly sharp corners.  Use special relativity to analyze the Lorentz transform for each section of B's world line.&lt;br /&gt;
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Oh, and to try to answer some of your specific questions, the gravitational field, under either Newtonian or relativistic mechanics, is a conservative field.  Its curl is zero.  If it weren't, conservation of energy would be violated, and we could make a perpetual motion machine by having a planet run around in circles picking up energy.  The &amp;quot;curl=0&amp;quot; aspect of gravity under general relativity is more complicated, because true vector fields have to be on Minkowski space, but it still conserves energy.  When Mercury orbits the Sun, its perihelion precesses because of relativistic effects, but its energy is conserved.&lt;br /&gt;
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I'll try to think some more about your black hole question and get back to you.&lt;br /&gt;
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[[User:Simeon|Simeon]] 00:00, 4 August 2010 (EDT)&lt;br /&gt;
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:Simeon, thanks so much for your long explanation! All of that made sense to me, and cleared up the issue of field as property of space vs. path specific to person vs. curved spacetime. Also, yes, I noticed the similarity between exact differential equations and deriving potential functions from vector fields - the former I studied in Differential Equations and the latter I studied in Multivariable Calculus.&lt;br /&gt;
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:So, if I understand you properly, gravity both (a) curves spacetime and (b) creates a conservative field. (I derived (a) from your point: &amp;quot;You get into complicated issues of curved coordinate systems (you're in one now; it's what you perceive as &amp;quot;gravity&amp;quot;!)&amp;quot;, and (b) from your point: &amp;quot;the gravitational field, under either Newtonian or relativistic mechanics, is a conservative field.  Its curl is zero.&amp;quot;) However, you're saying that if you are in an accelerating reference frame (such as a quickly-spinning merry-go-round) only (a) occurs; there is no field. Is this correct? If so, why is there this discrepancy between the two? [[User:PhyllisS|PhyllisS]] 22:54, 4 August 2010 (EDT)&lt;br /&gt;
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Yes, gravity curves spacetime.  It looks as though you're ready to go to the next level.  It has to do with curved ''coordinate systems'' vs. curved ''spacetime''.  This is why GR is so complicated.  But here goes.&lt;br /&gt;
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First, we have to recognize that, at some level, we could say that energy is *not* conserved.  Spacecraft use &amp;quot;slingshot maneuvers&amp;quot; around one planet to gain extra energy on their way to another planet.  I assume you've heard of this.  Cassini used three such maneuvers, twice around Venus and once around Earth.  So what was going on?  If you look at a coordinate system centered on Venus, you would see Cassini come in and go out again, with complete conservation of energy.  But, in a coordinate system fixed around the solar system, Venus was moving, so Cassini came in at low speed and went out at high speed.  We &amp;quot;stole&amp;quot; some energy out of Venus's orbit.  So, to be ''really'' correct, we have to say that gravity is a conservative field in the absence of '''moving''' gravitating bodies.&lt;br /&gt;
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But, in the larger sense, energy is conserved.  Always.  Newtonian or relativistic.  (But in relativity, the mass figures into the equation.  Let's not worry about that just now.)&lt;br /&gt;
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Now we get to the really cool stuff.  Your comment above suggests that you are ready for it.&lt;br /&gt;
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You will feel a &amp;quot;fictitious force&amp;quot; whenever you are in a &amp;quot;curved spacetime coordinate system&amp;quot;.  A curved coordinate system would include things like polar coordinates on the plane, or spherical coordinates in 3 dimensions.  But this is 4-dimensional spacetime.  So I'd like you to take my word for this.  On a rotating merry-go-round, your 4-dimensional spacetime coordinate system is curved.  (This doesn't require relativity, special or general, to formulate this.)  The 3-dimensional slice of it is flat, but, when you bring in time, and the spatial coordinates are accelerating, the overall coordinate system is curved.  This creates fictitious forces.  In the case of the merry-go-round, the forces are the centrifugal force and the Coriolis force.  There are also the fictitious &amp;quot;acceleration G forces&amp;quot; in a rocket.  But '''the spacetime itself isn't curved'''.  It's like polar coordinates on the plane.  Yes, the coordinate system is curved, but the plane isn't.  There are Cartesian coordinates on the plane also.  Similarly, an observer on the ground is in a flat coordinate system, and doesn't see any fictitious forces.  He just sees the mechanism of the ride pushing you inward as you go around.  Your recoil against that acceleration is what you perceive as the centrifugal force.&lt;br /&gt;
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So the moral of the story would seem to be: you can choose a flat coordinate system that exposes the fictitious force for what it is.  It's a perception from the curved spacetime coordinate system that the observer is operating in.&lt;br /&gt;
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But how about gravity?  In the case of gravity, '''spacetime itself is curved'''.  If spacetime (properly called a &amp;quot;manifold&amp;quot;) is curved, every coordinate system is curved, and the fictitious force which is gravity is inescapable.&lt;br /&gt;
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So your statement &amp;quot;gravity curves spacetime&amp;quot;, is exactly correct, but you have to distinguish &amp;quot;curving spacetime&amp;quot; and &amp;quot;curving some particular coordinate system&amp;quot;.  The actual curvature involves things called &amp;quot;Riemann's tensor&amp;quot; and &amp;quot;Ricci's tensor&amp;quot;.&lt;br /&gt;
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The number of people that understand this is way more than the 3 that Arthur Eddington claimed (it was more than 3 but probably less than 10 at the time), but it's still a pretty complicated subject.&lt;br /&gt;
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[[User:Simeon|Simeon]] 00:03, 5 August 2010 (EDT)&lt;br /&gt;
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:Simeon: Ah, that does make a lot of sense now. Thanks so much for explaining this to me. Hmm, that really is an elegant concept -- wow. Cool! [[User:PhyllisS|PhyllisS]] 13:50, 5 August 2010 (EDT)&lt;br /&gt;
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== Misleading Reference ==&lt;br /&gt;
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The counterexample #18 has as an reference:&lt;br /&gt;
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''Contrary to the claims of Relativists, the GPS system has never been based on Relativity.  The Time Service Department, U.S. Navy, observed that &amp;quot;the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require&amp;quot; in part because &amp;quot;the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”''&lt;br /&gt;
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That's wrong: From the very beginning of the program, some relativistic effects were taken into account. As Conservapedia states at its article on [[GPS]] the Naval Research Lab in Washington published its report on the ''Initial Results of the NAVSTAR GPS NTS-2 Satellite'' in 1978 and  listed the following GPS objectives that have been achieved to date:&lt;br /&gt;
#launch insertion into GPS constellation position&lt;br /&gt;
#demonstrated orbit stability and controllability&lt;br /&gt;
#first cesium frequency standard in space&lt;br /&gt;
#'''verification of relativity theory'''&lt;br /&gt;
But not only did the initial experiments bolster the theory, some relativistic effects have to addressed in general use - in the official specification for the GPS project , i.e., the [http://www.navcen.uscg.gov/pubs/gps/sigspec/gpssps1.pdf Global Positioning System Standard Positioning Service Signal Specification], 2nd edition, June 1995, you find the following:&lt;br /&gt;
&lt;br /&gt;
p. 13: ''To compensate for relativistic effects, the output frequency of the satellite's frequency standard -- as it would appear to an observer located at the satellite -- is 10.23 MHz offset by a Df/f = -4.4647 x 10-18 or a Df  = -4.567 x 10-3 Hz.''&lt;br /&gt;
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p. 39: ''The coefficients transmitted in subframe 1 describe the offset apparent to the control segment two-frequency receivers for the interval of time in which the parameters are transmitted.  This estimated correction accounts for the deterministic satellite clock error characteristics of bias, drift and aging, as well as for the satellite implementation characteristics of group delay bias and mean differential group delay.  Since these coefficients do not include corrections for relativistic effects, the user's equipment must determine the requisite relativistic correction.  Accordingly, the offset given below includes a term to perform this function.''&lt;br /&gt;
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It's true that not '''all''' effects are covered yet: as [[Talk:Counterexamples_to_Relativity#GPS_revisited|I stated above]], the quoted article of the ''The Time Service Department, U.S. Navy'' addresses effects caused by the fast movement of some of the GPS-receivers - something which will doubtless be included as the number of fast receivers grows.&lt;br /&gt;
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[[User:RonLar|RonLar]] 15:03, 9 August 2010 (EDT)&lt;br /&gt;
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== Ehrenfest's Paradox  ==&lt;br /&gt;
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This has been resolved and should be considered an apparent paradox. See [http://en.wikipedia.org/wiki/Ehrenfest_paradox here]. [[User:Meatstick|Meatstick]] 11:07, 10 August 2010 (EDT)&lt;br /&gt;
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== Momentum issues ==&lt;br /&gt;
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It should be explained why numbers 4 and 20 are counterexamples. It isn't adequately explained why these would even present issues with the theory. Actually they look like explanations of part of the theory. [[User:Meatstick|Meatstick]] 11:12, 10 August 2010 (EDT)&lt;br /&gt;
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: Number 4: for mass that is infinitesimally small, its momentum goes to infinity under Relativity as its speed approaches the speed of light.  But this is absurd because if the mass is precisely zero rather than infinitesimally close to zero, its momentum is finite at the speed of light.--[[User:Aschlafly|Andy Schlafly]] 12:05, 10 August 2010 (EDT)&lt;br /&gt;
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:: Are you sure that this is true? What are you fixing? One formula for relativistic momentum is &amp;lt;math&amp;gt;dp=\gamma v\left( dm \right)&amp;lt;/math&amp;gt;. This remains a differential quantity in &amp;lt;math&amp;gt;m&amp;lt;/math&amp;gt; as velocity becomes infinite: &amp;lt;math&amp;gt;\frac{dp}{dm}=\gamma v&amp;lt;/math&amp;gt;. Fixing energy gives the correct momentum result in the limit as velocity becomes infinite. Maybe the misunderstanding results from taking two limits at once -- the prefactor that depends on velocity becomes infinite while the rest-mass dependence remains linear. [[User:TylerGD|TylerGD]] 13:28, 10 August 2010 (EDT)&lt;br /&gt;
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::: Energy does not remain fixed as velocity increases to the speed of light.  You seem to be avoiding the central point.--[[User:Aschlafly|Andy Schlafly]] 11:11, 11 August 2010 (EDT)&lt;br /&gt;
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== Wormholes ==&lt;br /&gt;
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There seems to be some confusion on the difference between predicting and allowing. General relativity allows wormholes under some conditions. But a lack of observed wormholes or even a lack of wormholes would not be inconsistent with the theory. [[User:TylerGD|TylerGD]] 16:27, 10 August 2010 (EDT)&lt;br /&gt;
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== Inability of theory to lead to other insights? ==&lt;br /&gt;
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Although this can hardly be considered true, would it be a counterexample to relativity if it were? Couldn't this be a failure of scientists or a testament to the finality of a theory? [[User:TylerGD|TylerGD]] 16:28, 10 August 2010 (EDT)&lt;br /&gt;
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: No, because the theory has been around for more than a century.--[[User:Aschlafly|Andy Schlafly]] 09:18, 11 August 2010 (EDT)&lt;br /&gt;
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:: Why could this not be a failure of scientists? Anyway, what about the Dirac description of the electron? You can only claim that the theory failed to lead to other insights if you ignore the other insights. [[User:TylerGD|TylerGD]] 10:24, 11 August 2010 (EDT)&lt;br /&gt;
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::: Relativity has been better funded than most theories, so it is a defect in the theory that it has yielded so little for the effort expended.--[[User:Aschlafly|Andy Schlafly]] 11:12, 11 August 2010 (EDT)&lt;br /&gt;
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:::: The theory of GR has led to many insights regarding astrophysical phenomena. In particular GR plays an important role in discussing: Neutron Stars, Black Holes, Large-Scale structure, Cosmological Perturbation Theory, Stellar Evolution, Gravitation Waves, Gravitational Lensing, etc. Many concepts in modern astrophysics have been motivated using insight from GR. Additionally many developments in Quantum Field Theory (as used in Condensed Matter and Particle Physics - e.g. predictions of verifiable decay rates, cross-sections and so on), Relativistic Quantum Mechanics and Particle Physics take special relativity as an absolutely fundamental starting point. Many modern day particle accelerators require special relativistic corrections in order to work properly. - 15th August 2010 [[User:NotesTH|NotesTH]]&lt;br /&gt;
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::::: NotesTH, you list some unproven dead ends like never-observed &amp;quot;Gravitation Waves,&amp;quot; but fail to identify any verified insight.  Indeed, the length of your list highlights its lack of a quality insight.--[[User:Aschlafly|Andy Schlafly]] 16:38, 15 August 2010 (EDT)&lt;br /&gt;
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:::::: Gravitational waves have not been directly observed, no, but there is significant indirect evidence. Most commonly cited is the [http://www.conservapedia.com/PSR_B1913_16 | Hulse-Taylor binary]. In the linked article it is claimed that a &amp;quot;0.2%&amp;quot; demonstrates the failing of relativity. On the contrary, the fact that a theoretical model for a binary star system could predict a gravitational wave emission that matches observations so extremely closely is extraordinary. The supposed correction term for &amp;quot;galactic acceleration&amp;quot; exists because the initial model is not perfect and nor was it ever meant to be. A 0.2% error is a fantastically small difference and demonstrates that GR provides an extremely accurate and verified prediction for the observed decay of a binary system due to emission of gravitational waves. The authors of the quoted paper state &amp;quot;Accuracy of the test for gravitational radiation damping is now dominated by the uncertainty in the galactic acceleration term. Work now underway should lead to improved accuracy of the pulsar proper motion, and the Sun’s galactocentric distance may be better known in the future. However, we see little prospect for a significant improvement in knowledge of the pulsar distance. Consequently, it seems unlikely that this test of relativistic gravity will be improved significantly in the foreseeable future&amp;quot; - that's simply a statement to the effect that there were some unknown parameters not included in the initial model but nowhere near enough to even remotely claim that the model is being tweaked to fit the theory, not for a 0.2% difference. In addition check out [http://www.skyandtelescope.com/news/3308446.html?page=1&amp;amp;c=y | article on pulsar tests of GR] [http://www.skyandtelescope.com/news/3310106.html?page=1&amp;amp;c=y | it's follow up article] and the following review of pulsars and GR: [http://relativity.livingreviews.org/ | Testing GR with Pulsar Timing]. I feel that these articles further demonstrate that this is not an isolated case.&lt;br /&gt;
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:::::: You also seem to have neglected the other points. Rather than trying to talk about everything, it would take far too long in one sitting, I'll focus on the particle side of things. I've already stated that modern particle accelerators take into account relativistic effects - e.g. particle energies (using the relativistic energy equation: &amp;lt;math&amp;gt; E^2 = m^2 c^4 + p^2 c^2 &amp;lt;/math&amp;gt;, synchotron radiation [http://www.lhc-closer.es/php/index.php?i=1&amp;amp;s=4&amp;amp;p=12&amp;amp;e=0 | Synchotron at the LHC], particle lifetimes and so on. All of these require calculations from relativity that have been experimentally measured and verified. For instance all the predicted particle lifetimes and decay rates would require quantum field theories (which require relativity as a relativistic quantum theory) to predict the expected values which can then be matched to observations. We find that they are an extremely good fit to observations. Another example of such a calculation would be in predicting the [http://arxiv.org/pdf/hep-ph/9810512 | magnetic moments] of particles - theory matches observations extraordinarily well. &lt;br /&gt;
&lt;br /&gt;
:::::: As another point, just for a further example (could keep going...) we could look at neutron stars or pulsars as objects that are intrinsically relativistic. We can use observations of millisecond pulsars and, for example, compare models of synchrotron radiation (relativistic) to the observations. We find that the relativistic predictions are again in good agreement. Relativity has led to the development of many astrophysical phenomena which are intrinsically relativistic. Without the framework and foundations of relativity such insight would be impossible. The fundamental concepts introduced by relativity are absolutely essential in many, many branches of modern day science with many of the intrinsic relativistic effects being tested to a vast degree. No one claims that GR is the complete theory, it's treated as an effective field theory valid in some low energy limit, but the revolutionary concepts introduced by relativity have led to irrefutable developments in many areas of science. - 15th August 2010 [User:NotesTH | NotesTH]&lt;br /&gt;
&lt;br /&gt;
== &amp;quot;from the muons' point of view, the Earth would have to be rushing in all directions to meet them&amp;quot;? ==&lt;br /&gt;
&lt;br /&gt;
This would only be true if the muons shared a reference frame. Which they don't. [[User:TylerGD|TylerGD]] 10:25, 11 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Good point, so that edit was removed.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Number 29: the fasted-frame contradiction ==&lt;br /&gt;
&lt;br /&gt;
Clocks tick fastest in their rest frame. This is unique to the particular clock, but not among all clocks. No contradiction exists here. [[User:TylerGD|TylerGD]] 10:29, 11 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: OK, so that edit was also removed.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Continuation of &amp;quot;Curl of the gravitational field&amp;quot; ==&lt;br /&gt;
&lt;br /&gt;
Phyllis (and any other interested parties, of course):  You might want to take a look at the [[General theory of relativity]] page.  I think you will be able to follow much of it.  In particular, the &amp;quot;Coordinate Systems and Spacetime Diagrams&amp;quot; section is along the lines of what I discussed above.  A better name for it might be &amp;quot;how the curvature of spacetime creates gravity&amp;quot;.  The &amp;quot;Quantitative Introduction to General Relativity&amp;quot; is a link to a separate page, that might be better named &amp;quot;how matter makes spacetime curve.  The second of those is pretty daunting.  The first was clearly never finished.  A finished version seems to be on Wikiversity.&lt;br /&gt;
&lt;br /&gt;
Good luck.  [[User:Simeon|Simeon]] 23:54, 11 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Reversion of my edit ==&lt;br /&gt;
&lt;br /&gt;
I changed &lt;br /&gt;
&lt;br /&gt;
''Contrary to the claims of Relativists, the GPS system has never been based on Relativity.  The Time Service Department, U.S. Navy, observed that &amp;quot;the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require&amp;quot; in part because &amp;quot;the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”''&lt;br /&gt;
&lt;br /&gt;
to&lt;br /&gt;
&lt;br /&gt;
''Only some, but not all effects of relativity are addressed by the [[Global Positioning System]]: not yet incorporated are the effects for fast moving  receivers of the signal (e.g., satellites), therefore the Time Service Department, U.S. Navy, observed that &amp;quot;the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require&amp;quot; in part because &amp;quot;the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”''&lt;br /&gt;
&lt;br /&gt;
Andrew Schlafly changed it back, ignoring my edit comment: ''(changing misleading reference - as explained [[Talk:Counterexamples_to_Relativity#Misleading_Reference|here]] and [[Talk:Counterexamples_to_Relativity#GPS_revisited|here]])''&lt;br /&gt;
&lt;br /&gt;
'''The current statement of Andrew Schlafly is wrong in at least two ways, as explained several times:'''&lt;br /&gt;
&lt;br /&gt;
*the [[GPS]] addresses effects of Relativity: From the very beginning, its builders had the Theory of Relativity in mind. [http://oai.dtic.mil/oai/oai?verb=getRecord&amp;amp;metadataPrefix=html&amp;amp;identifier=ADA058591] and [http://www.navcen.uscg.gov/pubs/gps/sigspec/gpssps1.pdf]&lt;br /&gt;
*the paper quoted above addresses ''yet another'' effect.&lt;br /&gt;
&lt;br /&gt;
Perpetuating a wrong statement doesn't seem to be very insightful.&lt;br /&gt;
&lt;br /&gt;
[[User:RonLar|RonLar]] 11:13, 13 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:You don't have to beat us over the head with it, Ron. We already knows that perpetuating wrong statements isn't insightful. We agree with that part of your remarks.&lt;br /&gt;
&lt;br /&gt;
:The question is whether relativistic effects are (A) big enough to matter or (B) actually being calculated and compensated for by any major GPS.&lt;br /&gt;
&lt;br /&gt;
:Now, it's interesting that the first builders considered relativity, but what our readers want to know is whether they decided that it made a big enough difference. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 11:52, 13 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::*''don't be rude'' sorry, but please don't mistake my exasperation for rudeness!&lt;br /&gt;
::*''The question is whether relativistic effects are (A) big enough to matter or (B) actually being calculated and compensated for by any major GPS. '' The answer to (A) as well to (B) is a very emphatic '''yes'''. It was given repeatedly and  can be found in the source linked above - or in the section of this very talk page to which I linked in my edit-comment (conveniently repeated a couple of lines above, too). But to spare you the work of actually scrolling backwards, here it is again:&lt;br /&gt;
&lt;br /&gt;
::::[http://www.navcen.uscg.gov/pubs/gps/sigspec/gpssps1.pdf Global Positioning System Standard Positioning Service Signal Specification], 2nd edition, June 1995:&lt;br /&gt;
&lt;br /&gt;
::::p. 13: ''To compensate for relativistic effects, the output frequency of the satellite's frequency standard -- as it would appear to an observer located at the satellite -- is 10.23 MHz offset by a Df/f = -4.4647 x 10&amp;lt;sup&amp;gt;-18&amp;lt;/sup&amp;gt; or a Df  = -4.567 x 10&amp;lt;sup&amp;gt;-3&amp;lt;/sup&amp;gt; Hz.''&lt;br /&gt;
&lt;br /&gt;
::::p. 39: ''The coefficients transmitted in subframe 1 describe the offset apparent to the control segment two-frequency receivers for the interval of time in which the parameters are transmitted.  This estimated correction accounts for the deterministic satellite clock error characteristics of bias, drift and aging, as well as for the satellite implementation characteristics of group delay bias and mean differential group delay.  Since these coefficients do not include corrections for relativistic effects, the user's equipment must determine the requisite relativistic correction.  Accordingly, the offset given below includes a term to perform this function.''&lt;br /&gt;
&lt;br /&gt;
::*This ''Global Positioning System Standard Positioning Service Signal Specification'' is quoted on the talk-page of the article for the [[GPS]], too. It is the relevant document for everyone - engineer of physicist - who wants to work with the signals of the GPS.&lt;br /&gt;
&lt;br /&gt;
::*This quote alone shows that the statement ''Contrary to the claims of Relativists, the GPS system has never been based on Relativity.'' is wrong. Plain and simple.&lt;br /&gt;
&lt;br /&gt;
::*Effects on the GPS became a textbook example for relativity, see e.g., [http://www.colorado.edu/physics/Web/directory/faculty/ashby_n.html Neil Ashby], who writes in [http://relativity.livingreviews.org/open?pubNo=lrr-2003-1&amp;amp;page=title.html Relativity in the Global Positioning System]:&lt;br /&gt;
::::''There is an interesting story about this frequency offset. At the time of launch of the NTS-2 satellite (23 June 1977), which contained the first Cesium atomic clock to be placed in orbit, it was recognized that orbiting clocks would require a relativistic correction, but there was uncertainty as to its magnitude as well as its sign. Indeed, there were some who doubted that relativistic effects were truths that would need to be incorporated! A frequency synthesizer was built into the satellite clock system so that after launch, if in fact the rate of the clock in its final orbit was that predicted by general relativity, then the synthesizer could be turned on, bringing the clock to the coordinate rate necessary for operation. After the Cesium clock was turned on in NTS-2, it was operated for about 20 days to measure its clock rate before turning on the synthesizer. The frequency measured during that interval was +442.5 parts in 10&amp;lt;sup&amp;gt;12&amp;lt;/sup&amp;gt; compared to clocks on the ground, while general relativity predicted +446.5 parts in 10&amp;lt;sup&amp;gt;12&amp;lt;/sup&amp;gt;. The difference was well within the accuracy capabilities of the orbiting clock. This then gave about a 1% verification of the combined second-order Doppler and gravitational frequency shift effects for a clock at 4.2 earth radii. ''&lt;br /&gt;
::*But you don't have to take this secondary source at face value, you can go to the primary source: [http://oai.dtic.mil/oai/oai?verb=getRecord&amp;amp;metadataPrefix=html&amp;amp;identifier=ADA058591 Initial Results of the NAVSTAR GPS NTS-2 Satellite], Naval Research Lab Washington, D.C.,  25 May 1978 (Full text: [http://www.leapsecond.com/history/1978-PTTI-v9-NTS-2.pdf pdf]). '''Ever since 1978, relativistic effects are observed and compensated in various ways.''' Or as the abstract states it:&lt;br /&gt;
::::''NTS-2 was successfully launched on 23 June 1977 into a near 12-hour circular orbit. Precise frequency and timing signals are derived from the two cesium frequency standards. '''This paper discusses the launch and preliminary results which include verification of the relativistic clock effect.''' ''&lt;br /&gt;
&lt;br /&gt;
::*PhyllisS introduced the following quote above: &lt;br /&gt;
::::''The Time Service Department – a department of the U. S. Navy - states: “The Operational Control System (OCS) of the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require – transformations to and from the individual space vehicles (SVs), the Monitor Stations (MSs), and the users on the surface of the rotating earth, and the geocentric Earth Centered Inertial System (ECI) in which the SV orbits are calculated. There is a very good reason for the omission: the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”''&lt;br /&gt;
:::This is taken from a text of ''Henry F. Fliegel'' and ''Raymond S. DiEsposti''from December 1996 who are talking  about ''another'' relativistic effect than the ones already implemented. Please keep in mind that the Specification above is from June 1995! Only someone who didn't read the text - or didn't understand it - could abuse this quote to invoke the impression that no effects of relativity were implemented in the GPS.&lt;br /&gt;
&lt;br /&gt;
::*Of course, the information above may be ignored - as it was previously: ''tl;dr''. But actively ignoring facts which contravene a statement just to repeat the statement is a behavior which can only be described in a rude way.&lt;br /&gt;
&lt;br /&gt;
[[User:RonLar|RonLar]] 09:34, 14 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Ron, the collection of statements above could be construed as easily as ''disproving'' relativity rather than proving it.  Decades after GPS was launched, observers still struggle to match the data to the theoretical predictions.  If some relativistic calculations are included in the synchronization but others are not, then the theory is ''disproved'', not proved by the data.&lt;br /&gt;
&lt;br /&gt;
: As the [[Theory of Relativity]] page itself explains, the engineers ignored the complex predictions of relativity.  And for obvious reasons: it's easier to synchronize the clocks directly based on communications!&lt;br /&gt;
&lt;br /&gt;
: Note the complete absence of any identification of a particular physicist or mathematician who supposedly provided the theoretical predictions of Relativity for the engineers.  ''That is because there were no such theoretical predictions of Relativity used in the design!''&lt;br /&gt;
&lt;br /&gt;
: You might as well claim that clocks in a sporting game are synchronized based on relativity.  That would lack credibility for the same reason.--[[User:Aschlafly|Andy Schlafly]] 10:28, 14 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:: ''Ron, the collection of statements above could be construed as easily as ''disproving'' relativity rather than proving it.  Decades after GPS was launched, observers still struggle to match the data to the theoretical predictions.  If some relativistic calculations are included in the synchronization but others are not, then the theory is ''disproved'', not proved by the data.'' Effects come in various sizes. When calculating the trajectory of the projectile of a handgun, you don't include the [[Coriolis effect]]. When the bullets get faster and the range gets bigger, you have to. Does this mean that because only some classical effects are included in the first case, it has disproved classical mechanics? Frankly, that's just absurd. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
:: ''As the [[Theory of Relativity]] page itself explains, the engineers ignored the complex predictions of relativity.  And for obvious reasons: it's easier to synchronize the clocks directly based on communications!'' At the article of the [[Theory of Relativity]], a quote is used to bolster this claim: the same quote I've shown to be inappropriate as it is talking about other effects. From Ashby's [http://relativity.livingreviews.org/open?pubNo=lrr-2003-1&amp;amp;page=title.html Relativity in the Global Positioning System] : '''It has become common practice not to apply such offsets to Rubidium clocks as these are subject to unpredictable frequency jumps during launch. Instead, after such clocks are placed in orbit their frequencies are measured and the actual frequency corrections needed are incorporated in the clock correction polynomial that accompanies the navigation message.''' So, yes, the clocks aren't tempered with any longer - but the relativistic correction are incorporated nontheless.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
:: '' Note the complete absence of any identification of a particular physicist or mathematician who supposedly provided the theoretical predictions of Relativity for the engineers.  ''That is because there were no such theoretical predictions of Relativity used in the design!'' '' No, that's because the any decent physicists can answer the questions ''what's the expected relative and gravitationl time dilation at the satellite''. Einstein, Poincare and some others get the credit for coming up with the necessary formulas, but those who merely apply these formulas aren't mentioned...&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
:: ''You might as well claim that clocks in a sporting game are synchronized based on relativity.  That would lack credibility for the same reason. '' The clocks of a sporting game aren't accurate enough to be influenced by non-classical effects. The clocks of the [[GPS]] are - and the effects are much greater in the height and at that velocity of a satellite.&lt;br /&gt;
&lt;br /&gt;
::Sorry to keep you waiting for this answer: my ISP at home (109.90.0.0/16) is still range-blocked (block ID is #63109), so I can contribute to Conservapedia only irregularly. But I don't think that this bothers you, as you may not like my comments anyhow.&lt;br /&gt;
&lt;br /&gt;
::[[User:RonLar|RonLar]] 09:26, 15 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::Ron, your edits are mostly talk, and the talk is superficial.  I pointed out that no individual has ever been credited, identified or even alluded to for providing the Relativity work that was supposedly included in the GPS design.  Obviously that was because there was no such inclusion of Relativity work.  But you just duck that compelling point and fail to address it in a meaningful way.&lt;br /&gt;
&lt;br /&gt;
:::The argument that GPS includes some (but not all) relativistic adjustments is even weaker, because that implies that GPS disproves rather than proves Relativity.--[[User:Aschlafly|Andy Schlafly]] 16:36, 15 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::: I agree with RonLar. The GPS clocks are accurate enough for relativity to matter. It is well-known that the system uses relativistic corrections. Otherwise, it would disprove relativity, and where is the paper proving that? [[User:RSchlafly|RSchlafly]] 21:17, 15 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::: Journals won't publish any data contrary to Relativity; accepted papers have even been forced to withdraw for this reason.  For example, where are the data on the advance of the perihelion of Mercury (which now disproves Relativity) or the binary pulsar (which now disproves Relativity despite the Nobel Prize being given for it years ago).&lt;br /&gt;
&lt;br /&gt;
::::: The claim that GPS system &amp;quot;uses relativistic corrections&amp;quot; is meaningless.  If some but not all relativistic corrections are used, as discussed above, then this disproves rather than proves Relativity.--[[User:Aschlafly|Andy Schlafly]] 21:46, 15 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::: If the GPS system uses some but not all relativistic corrections, the article is faulty and should be corrected. I don't know about that astronomical data, but if you have some reliable source saying that it was censored somehow, then I suggest posting it. [[User:RSchlafly|RSchlafly]] 22:48, 15 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::: If you think Relativity was part of the GPS design, then who did the Relativity calculations?  Who was responsible for that work?  Not only has no one been credited or identified for doing this work, there is not even any suggestion that anyone did such work.--[[User:Aschlafly|Andy Schlafly]] 22:59, 15 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::::: Beats me, I thought GPS was a classified military project. Who did the Newtonian calculations? [[User:RSchlafly|RSchlafly]] 03:36, 16 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
::::::::::''I pointed out that no individual has ever been credited, identified or even alluded to for providing the Relativity work that was supposedly included in the GPS design.'' R. Schlafly answered this one very well. May I add that we don't know who actually calculated the trajectories for the [[Apollo project]]. Does this mean that the [[Moon landing]] was a hoax? That's absurd.&lt;br /&gt;
&lt;br /&gt;
::::::::::''If some but not all relativistic corrections are used, as discussed above, then this disproves rather than proves Relativity.'' Again, does the omission of the [[Coriolis effect]]s - or even tidal forces - when calculating the trajectory of a bullet disprove [[classical mechanics]]? Effects come in various degrees, more about that in the next section.&lt;br /&gt;
&lt;br /&gt;
::::::::::''Ron, your edits are mostly talk, and the talk is superficial. '' I wouldn't have to do so much talking if you actually read the papers you are quoting from. Even someone who thinks that he can formulate [[Einstein's postulates]] better than Wolfgang Pauli did (''[[Talk:World_History_Lecture_Eleven#Postulates_of_Special_Relativity|I have explained why Pauli's description is inadequate]]'') should sometimes stop and listen to those who at least recomputed the relevant calculations.&lt;br /&gt;
&lt;br /&gt;
::::::::::[[User:RonLar|RonLar]] 08:41, 16 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::::::: GPS was declassified nearly 30 years ago.  It's well-publicized who did the work on the [[Manhattan Project]], but are you claiming that no one knows who supposedly did the Relativity work on GPS because it is top secret????  Please.&lt;br /&gt;
&lt;br /&gt;
::::::::::: RonLar, your comments lack logic and suggest to me a lack of an open mind about this topic, and I'm not going to spend forever in talk, talk, talk with you about this.  May I ask what your score is on the quiz on [[Essay:Quantifying Openmindedness]]?--[[User:Aschlafly|Andy Schlafly]] 11:09, 16 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Quote mine ==&lt;br /&gt;
Andy, you take the sentence ''The Time Service Department, U.S. Navy, observed that &amp;quot;the Global Positioning System (GPS) does not include the rigorous transformations between coordinate systems that Einstein’s general theory of relativity would seem to require&amp;quot; in part because &amp;quot;the effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter – less than one centimeter, for users on or near the earth.”'' as a corroboration  of you statement ''Contrary to the claims of Relativists, the GPS system has never been based on Relativity.''&lt;br /&gt;
&lt;br /&gt;
Even if the sentence stood alone, that would be hardly justifiable: ''the effect of relativity [...] are too small to matter [...] '''for users on or near the earth''' '' shows what the authors intention is: they show that the effects of relativity for users in a distance from the Earth's surface (satellites etc.) and at high speed do matter.&lt;br /&gt;
If you read the article the sentence is taken from (''GPS and Relativity: An Engineering Overview'' by Henry F. Fliegel and Raymond S. DiEsposti), you'll find on p. 193:&lt;br /&gt;
::''Since GPs receivers work in the time and not in the frequency domain, they handle the velocity, gravity, and acceleration shifts differently than described above. First, each GPS space vehicle (SV) clock is offset from its nominal rate by about -4.45&amp;amp;times;10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt; (= -38 microseconds per day) to allow for the relativistic offsets between the differences between the SV and the ground. Of this -38 microseconds per day, about -45 are due to the gravitational potential difference between the SV at its mean distance and the earth's surface, and +7 to the mean SV speed, which is about 3.87 km/sec.''&lt;br /&gt;
&lt;br /&gt;
So, the authors of this text are well aware of the relativistic effects on the GPS space vehicles. And these effects are big enough to justify a compensation. So what are the ''effects of relativity, where they are different from the effects predicted by classical mechanics and electromagnetic theory, are too small to matter''? To repeat it again, these are the additional effects on the receivers of the signal, which may be in higher altitude and moving on a higher speed than it was anticipated in the 1970s.&lt;br /&gt;
&lt;br /&gt;
Including such effects make the GPS more precise, it doesn't disprove the theory of relativity.&lt;br /&gt;
&lt;br /&gt;
You could have guessed as much from the abstract of the article:&lt;br /&gt;
::''We give and explain in detail the formulas for the relativistic corrections to be implemented in high-speed aircraft, or when using other satellites in connection with GPS, or when using GPS from another satellite. We explain how to use these formulas in various scenarios, give numerical examples, and itemize the pitfall to be avoided by (for example) receiver manufacturers.&lt;br /&gt;
&lt;br /&gt;
It's an amusing twist that the intended audience for this articles are engineers - people who have no need for the theory of relativity as you have repeatedly made clear.&lt;br /&gt;
&lt;br /&gt;
So, the sentence you took of the article only ''seemingly'' bolstered your position, in fact, when read in context,  it ''disproves'' your opinion. That is an example for a [[quote mine]].&lt;br /&gt;
&lt;br /&gt;
I hope that this comment - and my previous ones - which are not superficial at all, but go straight to the source, convince you to unblock my ISP at home (block ID #63109, intended blockee: 109.90.0.0/16).  and to give me the possibility to engage in a meaningful discussion.&lt;br /&gt;
&lt;br /&gt;
[[User:RonLar|RonLar]] 08:41, 16 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==My Great-grandfather==&lt;br /&gt;
&lt;br /&gt;
This is where I came in ... [[Charles Lane Poor]] was my great-grandfather, and he protested the media love-fest celebrating the theory of relativity on the grounds that it was premature. Based on the accuracy of observations at the time (early 20th century), there just wasn't enough proof that Einstein's idea was correct.&lt;br /&gt;
&lt;br /&gt;
I'd like this article to take the scientific path of (1) explaining the theory in layman's terms, (2) describing predictions that the theory makes, e.g., observed star positions during a [[solar eclipse]], and (3) comparing predicted to actual values. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 11:45, 13 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: That's very interesting about your great-grandfather, Ed.  As to explaining the theory and discussing claims supporting it, other entries like [[Theory of Relativity]] do that but can always be improved.--[[User:Aschlafly|Andy Schlafly]] 10:30, 14 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Countering the counterexamples ==&lt;br /&gt;
&lt;br /&gt;
The content of this page aside, I question whether it serves the interests of CP for it to exist in its current form.  CP has been lucky to attract a long string of competent math and physics editors.  Yet once again it finds itself in the position of not having any except ASchlafly and Ed Poor.  Many of these editors were good-faith contributors who wrote a lot of other science articles and generally improved the site, but were eventually driven out after becoming frustrated with this opposition to relativity (and its cousin, the pervasive skepticism about complex numbers).&lt;br /&gt;
&lt;br /&gt;
Yes, maybe free speech dictates that this page ought to remain.  But when the viewpoints of supporters of relativity have been ''without exception'' removed from the page, is there really free speech at all?  ASchlafly, you remove these views on the grounds that they are not logical.  But their proponents hold them surely as you hold your position, so would it not be reasonable to allow the other side to be posted somewhere, maybe on another page rebutting this one?&lt;br /&gt;
&lt;br /&gt;
Disbelieving the theory of relativity is really not a ''conservative'' position as such, so I think it's a shame that it has caused CP so much harm.  Indeed, the only person who seems to be convinced by these &amp;quot;counterexamples&amp;quot; is ASchlafly: the public (liberal and conservative) constantly disputes them on the talk page; the media openly mocks this page and hurts the public perception of CP's credibility; even some CP administrators, surely open-minded conservatives, disagree with these positions. (Maybe some editors have expressed agreement.  Such are certainly parodists and should be banned on sight.)  &lt;br /&gt;
&lt;br /&gt;
I think it would be advisable to allow some pro-relativity views back on this site, in the interest of free speech, keeping productive editors, and maintaining credibility. --[[User:KyleT|KyleT]] 11:54, 16 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
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		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800415"/>
		<updated>2010-08-03T03:55:04Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */&lt;/p&gt;
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&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
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Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
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:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
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::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
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::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
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:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
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:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
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::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
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::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
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::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
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:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
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:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
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:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
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:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
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:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
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::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
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:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
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== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
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For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
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Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
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Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
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Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
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But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
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== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
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The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
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:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
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:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
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::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
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::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
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::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
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::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
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:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
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::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
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::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
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: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
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*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
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I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
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::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
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IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
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As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
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:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
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::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
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:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
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:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
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:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
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::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
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::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
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::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
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:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
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::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
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::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
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A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
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: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
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== lack of a single useful device ==&lt;br /&gt;
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At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
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''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
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GPS seems to be a useful device!&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
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:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
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::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
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::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
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::Accelerators have applications beyond basic research!&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
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::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
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::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
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The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
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''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
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As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
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''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
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Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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== Several Clarification/Corrections ==&lt;br /&gt;
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I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
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1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
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5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
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6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
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7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
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8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
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9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
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10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
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I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
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:REPLY BELOW:&lt;br /&gt;
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::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
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::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
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::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
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::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
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::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
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::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
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::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
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Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
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The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
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[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;br /&gt;
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::::::: You take a narrow view of the significance of a &amp;quot;conservative field.&amp;quot;  Independent physical attributes should remain path-independent as well for the field to be conservative.  In Newtonian mechanics and most other physical force fields, they do.--[[User:Aschlafly|Andy Schlafly]] 15:41, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::: By a conservative field, I mean a vector field on space for which there exists a scalar function V with the gradient of V given by that vector field.  This doesn't imply the path-independence of any physical quantities other than V itself.  If you this view as too narrow, can you tell me what you take to be the definition of a conservative field? --[[User:KyleT|KyleT]] 15:57, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::: Your definition is too narrow when discussing the theory of relativity, which describes the framework in which the force operates.  To be meaningful, the definition must be broader.  It must ensure the path independence of the scalar, as well as other scalars independent of that scalar.--[[User:Aschlafly|Andy Schlafly]] 18:12, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::::: Can you tell me what the correct definition is, then?  I have pretty good background in this stuff, no need to dumb it down, just be precise.  Certainly no field at all is going to conserve every scalar function, so I'd like to know which ones you want. --[[User:KyleT|KyleT]] 18:20, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::::: Kyle, I have an [[Essay:Quantifying Openmindedness|open mind]] about this, and don't see a precise definition anywhere that would be meaningful with respect to the theory of relativity.  It's striking how relativists avoid this issue, and even stop discussing it when it is brought up.&lt;br /&gt;
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::::::::::: I can propose a definition that you may be able to improve.  How about: a conservative theory of motion is one whereby scalar values of a particle are independent of its path of motion.--[[User:Aschlafly|Andy Schlafly]] 18:36, 2 August 2010 (EDT)&lt;br /&gt;
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That's an interesting proposal, and I too have an open mind about this.  Can you give an example of such a ''conservative theory of motion''?  One such would greatly help in devising the correct definition. --[[User:KyleT|KyleT]] 19:29, 2 August 2010 (EDT)&lt;br /&gt;
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:Newtonian mechanics would be an obvious example.  By the way, how do you explain the general lack of discussion and papers about whether the theory of relativity is conservative, including the abrupt departure of User:Simeon from this discussion?--[[User:Aschlafly|Andy Schlafly]] 21:58, 2 August 2010 (EDT)&lt;br /&gt;
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:: Some scalar values in Newtonian mechanics are conserved because there exist associated conservative fields (or more generally [[Noether's Theorem|symmetries of the Lagrangian]]).  What is an example of a scalar value in the Newtonian mechanics that is not of this type, which makes this a conservative theory of motion while relativity is not? &lt;br /&gt;
::I don't know why relativity's defenders won't confront this.  Maybe that could be the topic of the debate page -- I'm interested using this discussion to sharpen counterexample 21. --[[User:KyleT|KyleT]] 23:55, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=United_States_of_America&amp;diff=800394</id>
		<title>United States of America</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=United_States_of_America&amp;diff=800394"/>
		<updated>2010-08-03T00:37:37Z</updated>

		<summary type="html">&lt;p&gt;KyleT: Undo revision 800391 by ILOVEUSA (Talk)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Country&lt;br /&gt;
|name           =''United States of America''&lt;br /&gt;
|map	        =US map.PNG&lt;br /&gt;
|map2           =Loc of United States.png&lt;br /&gt;
|established=1776&lt;br /&gt;
|flag	        =50 star flag.png&lt;br /&gt;
|arms	        =United States arms.png&lt;br /&gt;
|capital	=Washington, D.C.&lt;br /&gt;
|government	=Constitutional Republic&lt;br /&gt;
|language	=English&lt;br /&gt;
|official =n&lt;br /&gt;
|president	=Barack Hussein Obama&lt;br /&gt;
|area	        =3,718,695 sq mi&lt;br /&gt;
|pop	        =301,554,000 (2007)&lt;br /&gt;
|gdp-year	=$13.049 trillion (2007&lt;br /&gt;
|gdp-pc	        =$44,333 (2007)&lt;br /&gt;
|currency	=United States Dollar (USD)&lt;br /&gt;
}}&lt;br /&gt;
The '''United States of America''' (''conventional short form'': '''United States'''; ''abbreviation'': '''US''' or '''USA'''; sometimes also referred to as '''the States''' or simply as '''America''') is a [[North America|North American]] nation that consists of a federal union of fifty individual states, along with territories and a capital district. Founded originally as 13 colonies in the [[British Empire]], Britain's American colonies broke with the mother country on July 4, 1776 with the [[Declaration of Independence]]. The new nation became recognized as the United States of America following the [[American Revolutionary War|War of Independence]] in 1783. Shortly thereafter, in 1787, the [[United States Constitution]] was written; grounded on Christian values and [[Republican form of government|republican]] political principles, the constitution remains in effect today. The Americans created the world's first political parties and, since abolishing [[slavery]] in a bloody [[American Civil War|civil war]] (1861-65), the federal and State governments in the United States are a representative [[democracy]] committed to a [[Constitutional Republic]].&lt;br /&gt;
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America's capitalist economy grew rapidly, becoming the largest in the world by the 1870s. During the 19th and 20th centuries, 37 new states were added to the original 13 as the nation expanded across the North American continent and acquired a number of overseas possessions. After defeating Communism in the [[Cold War]], the U.S. emerged as the world's only [[superpower]], boasting the largest economy and most powerful military. It exerts enormous cultural and intellectual influence worldwide, and in return is the target of the enemies of democracy and [[capitalism]].&lt;br /&gt;
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The capital of the United States of America is [[Washington, DC]].&lt;br /&gt;
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==Geography==&lt;br /&gt;
{{main|North America}}&lt;br /&gt;
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North America, bordering both the North [[Atlantic Ocean]] and the North [[Pacific Ocean]], is between [[Canada]] and [[Mexico]]. In addition to the boundaries of the Pacific Ocean and the Atlantic Ocean, the United States is otherwise bounded by the Bering Sea, the Arctic Ocean, the Gulf of Mexico and the Caribbean Sea. Two of the fifty states, Alaska and Hawaii (an archipelago), are not contiguous with any of the other states. Puerto Rico, which is largely self governing, is part of the U.S., as are several smaller territories in the Pacific Ocean, such as Guam. Each of the 50 states has a large degree of sovereignty, but the boundaries are debated and shift slightly every year. &lt;br /&gt;
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At over 3.7 million square miles (over 9.6 million km²), the U.S. (including its non-contiguous and overseas states and territories) is the third largest country by total area. It is the world's third most populous nation, with over 350 million people.&amp;lt;ref&amp;gt;[https://www.cia.gov/library/publications/the-world-factbook/geos/us.html CIA World Factbook], ''North America :: United States'', Updated on February 4, 2010, (Accessed on March 5, 2010).&amp;lt;/ref&amp;gt;&lt;br /&gt;
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==The Constitution and Politics in the United States==&lt;br /&gt;
&lt;br /&gt;
[[Image:76485685i79.jpg|right|thumb|300px|The drafting committee presenting the [[Declaration of Independence]] to the [[Continental Congress]], painted by John Trumbull 1817–1819.]]&lt;br /&gt;
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Between 1776 and 1788, the United States was governed according to the [[Articles of Confederation]].  The [[Founding Fathers]] formally established the current structure of the United States by ratification of the [[U.S. Constitution]] in 1788. Since 1789, that constitution has been the basic governing document. &lt;br /&gt;
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Sovereignty in America comes from the citizenry, and the basic political values are called &amp;quot;[[republicanism]],&amp;quot; (not to be confused with the [[Republican Party]],)  especially the commitment to civic virtue and civic duty, and opposition to corruption and aristocracy.  Popular political parties emerged in the United States in the 1790s; currently the two major political parties are the [[Democratic Party]], and the [[Republican Party]]. Minor parties are of little importance.&lt;br /&gt;
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=== The Role of Religion in Government ===&lt;br /&gt;
see [[Religion and U.S. Government]]&lt;br /&gt;
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==History==&lt;br /&gt;
&lt;br /&gt;
===Thirteen Colonies===&lt;br /&gt;
{{main|Thirteen Colonies}}  [[Image:Pop1750.jpg|left|thumb|400px]]&lt;br /&gt;
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===American Revolution===&lt;br /&gt;
{{main|American Revolution}}&lt;br /&gt;
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The American Revolution exploded from fears the British Empire was trying to restrict the historic rights and liberties of Americans.  The British victory in the French and Indian War ended the threat that foreign powers might attack the colonies; Britain's protection was no longer needed. At the same time Britain decided to assert its powers by imposing taxes.  The taxes (as on stamps and sugar) were not large but the principle was: Americans insisted their own legislatures could impose taxes but not Parliament, because Americans were not represented there. &amp;quot;No taxation without representation!&amp;quot; became the American catch-word, but the British refused over and over again to accept it.  London sent in troops when Boston protested vehemently, amd Americans organized shadow governments in every colony. &lt;br /&gt;
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Meanwhile the Americans had been adopting a new political philosophy, called [[republicanism]] that stressed civic virtue, fear of corruption, and disdain for aristocracy (there were no aristocrats in America apart from occasional British visitors). Republicanism alerted Americans to their constitutional rights as Englishmen--one right was the people through their elected officials set the taxes.  To Americans this meant their colonial legislatures, because they were not represented in the British Parliament. The British replied haughtily that Americans were &amp;quot;virtually represented&amp;quot; somehow. The tax on stamps in 1765 incited near rebellion, as the 13 separate colonies began meeting together and sharing their grievances. The stamp tax was repealed but others followed, especially the tax on tea. Americans boycotted tea and merchants refused to order it, except in Boston. There a well-organized group of patriots dumped the tea in the harbor at the [[Boston Tea Party]]. London was livid and sent troops and stripped Massachusetts of its self government and suspended the historic rights the colonists were so proud of. Now all 13 colonies started organizing shadow governments called &amp;quot;Committees of Correspondence&amp;quot; that prepared for the day &amp;quot;patriots&amp;quot; 9or &amp;quot;Whigs&amp;quot;) as they called themselves could assume all functions of local government. That day came when the British sent troops from Boston to seize gunpowder and the patriots gathered there.  The American &amp;quot;Minute men&amp;quot; (militia) had trained and planned for the day and they back at Lexington and Concord, and defeated elite British troops. The war had begun.&lt;br /&gt;
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The 13 colonies, now organized as the &amp;quot;Continental COngress&amp;quot; now became a national government, as the shadow governments in each colony took control and ousted all royal officials. Congress set up a Continental Army and gave command to Virginia leader [[George Washington]]. he took charge in Boston, and forced the British to leave in spring 1776.  All 13 colonies were now under Patriot control, and they listened as [[Tom Paine]] explained in ''Common Sense'' that America was a strong and powerful nation in its own right and no longer needed a foreign king. Congress called on the colonies to make themselves states and write new constitutions. On July 4, 1776, Congress unanimously declared the independence of a new nation, the United States of America.&lt;br /&gt;
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King [[George III]] could not abide the insolent Americans and he sent his small army and large navy to reconquer his lost colonies.  They did capture New York City, but little else. The powerful Royal navy gave the British command of the seas and the ability to land troops anywhere and capture any specific place, but the shortage of British soldiers, and the very long 3000 mile supply line, meant that the British could only hold a few points at any one time. Hiring German soldiers (Hessians) was necessary, but they were not enough, for the Patriots always had more available soldiers. The British expectations that Loyalist would rise up and overthrow the Patriots was a chimera; the Loyalists did provide some help to British invasion forces, but were never strong enough to operate on their own or control any territory.&lt;br /&gt;
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France, humiliated by Britain in the 1760s, was stronger now and wanted revenge. It secretly armed and financed the Americans.  In 1777 the British sent a large army to invade New York and cut off the revolutionary states of New England. The plan was a disaster as the American militia captured the entire British invasion force at Saratoga. Encouraged by diplomat [[Benjamin Franklin]], the French now recognized the United States, signed a treaty of alliance, and entered the war against Britain. Later it brought in Span and the Netherlands as allies; Britain's diplomacy was so bad that it had no allies at all, and now was militarily matched or surpassed by the allies.  The British invasion of the South in 178-81 was designed to bring out Loyalist support, but it failed and the second major British army was captured at thew [[Battle of Yorktown]]. The British Parliament revolted at their reckless king and his incompetent government and sued for peace, which was achieved on terms favorable to the U.S. in 1783. About 20% of the Loyalists removed to Canada, but the others stayed, and the new peaceful nation resumed its rapid growth.&lt;br /&gt;
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=== New Nation===&lt;br /&gt;
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In 1783, when the Treaty of Paris concluded the war of independence, the American population totalled some three million citizens and slaves living on about one million square miles of land.  Tens of thousands of [[Native Americans]] also lived in the [[Northwest Territory]] and the Southwest. &lt;br /&gt;
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The Thirteen original states are [[Connecticut]], [[Delaware]], [[Georgia]], [[Maryland]], [[Massachusetts]] (including [[maine]]), [[New Hampshire]], [[New Jersey]], [[New York]], [[North Carolina]], [[Pennsylvania]], [[Rhode Island]], [[South Carolina]] and [[Virginia]].  In 1790, an agreement between supporters of Jefferson and those of [[Alexander Hamilton]] resulted in the creation of the [[District of Columbia]] from part of [[Maryland]]; it has served as the national capital since 1800.  The remainder of the 1783 territory was eventually organized as the states of [[Ohio]], [[Indiana]], [[Michigan]], [[Illinois]], [[Wisconsin]], [[Kentucky]], [[Tennessee]], [[Mississippi]] and [[Alabama]].&lt;br /&gt;
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=== Expansion===&lt;br /&gt;
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In 1803, [[French]] emperor [[Napoleon Bonaparte]] took advantage of a lull in his war with Great Britain to sell the [[Louisiana Territory]] to the United States, more than doubling the nation's land area.  This territory would later be organized as the states of [[Minnesota]], [[North Dakota]], [[South Dakota]], [[Montana]], [[Wyoming]], [[Nebraska]], [[Iowa]], [[Missouri]], [[Arkansas]], [[Kansas]], [[Oklahoma]], and [[Louisiana]] proper.  President Jefferson commissioned [[Lewis and Clark]] to explore the new territory from 1802 to 1804.&lt;br /&gt;
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The U.S. seized, then purchased [[Florida]] from Spain in 1819. [[Texas]] joined the United States in 1845 after winning its revolution against Mexico. &lt;br /&gt;
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After victory the [[Mexican American War]] of 1846-48, the U.S. purchased via the [[Treaty of Guadalupe Hidalgo]] territory that became the states of [[California]], [[Nevada]], [[Utah]], [[Colorado]], [[New Mexico]] and [[Arizona]].  In 1846 the U.S. and Britain agreed that the 49th Parallel (degree of latitude) would serve as the boundary between the U. S. and [[British Columbia]] (now part of Canada). The American portion became the states of [[Washington]], [[Oregon]] and [[Idaho]].&lt;br /&gt;
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In 1867, the U.S. purchased [[Alaska]] from [[Russia]]. It became a state in 1959.&lt;br /&gt;
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Hawaii became an independent republic in 1894 and voluntarily joined the U.S. in 1898, becoming a state in 1960. &lt;br /&gt;
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As a result of the [[Spanish-American War]], in which the United States took control of the [[Philippines]] and annexed [[Puerto Rico]] and [[Guam]].  The Phillipines became independent in 1946, after the U.S. reconquered the islands from Japan in World War II. [[Puerto Rico]] has occasionally held referenda that ratified its continuing unique &amp;quot;Commonwealth&amp;quot; status as part of the United States.  The residents of Puerto Rico are U.S. citizens.  Guam continues as a U.S. owned territory with full citizenship for its inhabitants. The people of Puerto Rico and Guam have a vote in presidential primaries and a voice, but not a vote, in Congress.&lt;br /&gt;
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==Government==&lt;br /&gt;
[[Image:56eugyjnm.jpg|right|thumb|300px|The [[White House]], the official home and workplace of the [[President of the United States]] of America.]]&lt;br /&gt;
===Executive Branch===&lt;br /&gt;
*Chief of state: The [[President of the United States]] is both the chief of state and head of government&lt;br /&gt;
*Head of government: President of the United States; [[Vice President of the United States]]&lt;br /&gt;
*Cabinet: Cabinet appointed by the president with Senate approval&lt;br /&gt;
*Elections: The president and vice president serve four-year terms (eligible for a second term)&lt;br /&gt;
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===Legislative Branch===&lt;br /&gt;
The United States legislative branch of government is a [[bicameral]] Congress, which consists of the [[United States Senate|Senate]] (100 seats, 2 members are elected from each state by popular vote to serve six-year terms; one-third are elected every two years) and the [[House of Representatives]] (435 seats; members are directly elected by popular vote to serve two-year terms).&lt;br /&gt;
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===Judicial Branch===&lt;br /&gt;
{{main|Supreme Court of the United States}}&lt;br /&gt;
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The United States [[Supreme Court]] consists of nine justices, nominated by the president and confirmed with the advice and consent of the Senate. Members of the Supreme Court are appointed to serve for life; the judicial branch extends to the United States Courts of Appeal, the United States District Courts, and State and County Courts. The primary role of the nine justices of the Supreme Court is to assure the United States government does not attempt to surrender, sell or transfer the people's unalienable rights given by [[God]]. The Supreme Court has the power to consider the constitutionality of laws passed by Congress.&lt;br /&gt;
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==2010 Federal Holidays==&lt;br /&gt;
The table below lists public holidays for U.S. Federal employees for 2010.&amp;lt;ref&amp;gt;[http://www.opm.gov/Operating_Status_Schedules/fedhol/2010.asp 2010 Federal Holidays], OPM.gov, Federal law (5 U.S.C. 6103).&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Date&lt;br /&gt;
! Holiday&lt;br /&gt;
|-&lt;br /&gt;
|Friday, Jan. 1 || [[New Year’s Day]]&lt;br /&gt;
|-&lt;br /&gt;
|Monday, Jan. 18 || Birthday of [[Martin Luther King, Jr.]]&lt;br /&gt;
|-&lt;br /&gt;
|Monday, Feb. 15* || Washington’s Birthday&lt;br /&gt;
|-&lt;br /&gt;
|Monday, May 31 || [[Memorial Day]]&lt;br /&gt;
|-&lt;br /&gt;
|Monday, July 5** || [[Independence Day]]&lt;br /&gt;
|-&lt;br /&gt;
|Monday, Sept. 6 || [[Labor Day]]&lt;br /&gt;
|-&lt;br /&gt;
|Monday, Oct. 11 || [[Columbus Day]]&lt;br /&gt;
|-&lt;br /&gt;
|Thursday, Nov. 11 || [[Veterans Day]]&lt;br /&gt;
|-&lt;br /&gt;
|Thursday, Nov. 25 || [[Thanksgiving Day]]&lt;br /&gt;
|-&lt;br /&gt;
|Friday, Dec. 24*** || [[Christmas|Christmas Day]]&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Flag Description==&lt;br /&gt;
[[Image:50 star flag.png|right|thumb|150px|The [[Flag of the United States of America]]]]&lt;br /&gt;
{{main|Flag of the United States of America}}&lt;br /&gt;
&lt;br /&gt;
Thirteen equal horizontal stripes of red (top and bottom) alternating with white; there is a blue rectangle in the upper hoist-side corner bearing 50 small, white, five-pointed stars arranged in nine offset horizontal rows of six stars (top and bottom) alternating with rows of five stars; the 50 stars represent the 50 states, the 13 stripes represent the 13 original colonies; known as Old Glory; the design and colors have been the basis for a number of other flags, including [[Chile]], [[Liberia]], [[Malaysia]], and [[Puerto Rico]].&lt;br /&gt;
&lt;br /&gt;
== Also See ==&lt;br /&gt;
*[[Pledge of Allegiance]]&lt;br /&gt;
*[[Famous American artists]]&lt;br /&gt;
*[[List of 50 states]]&lt;br /&gt;
*[[Americas]]&lt;br /&gt;
*[[America (continent)]]&lt;br /&gt;
*[[Columbia]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
*[[CIA]] - [https://www.cia.gov/library/publications/the-world-factbook/index.html The World FactBook]&lt;br /&gt;
*[http://www.nationsonline.org/oneworld/america.htm America]&lt;br /&gt;
*[http://www.nationsonline.org/oneworld/flags_of_us_states.htm Flags of the U.S. States]&lt;br /&gt;
*[http://www.pibmug.com/files/map_test.swf Interactive map test of the 50 U.S. states]&lt;br /&gt;
*[http://www.u-s-history.com/pages/h445.html U.S. History]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
{{USstates}}&lt;br /&gt;
{{Nb US universities}}&lt;br /&gt;
[[Category:North American Countries]]&lt;br /&gt;
[[Category:United States of America]]&lt;br /&gt;
[[Category:Geography]]&lt;br /&gt;
[[Category:NATO members]]&lt;br /&gt;
[[Category:United States History]]&lt;br /&gt;
[[Category:Featured articles]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Thomas_Sowell&amp;diff=800392</id>
		<title>Thomas Sowell</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Thomas_Sowell&amp;diff=800392"/>
		<updated>2010-08-03T00:37:02Z</updated>

		<summary type="html">&lt;p&gt;KyleT: Undo revision 800385 by ILOVEUSA (Talk)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Thomas Sowell''' (born June 30, 1930) is [[America]]'s most famous black [[conservative]] author. His book ''A Conflict of Visions'' contrasts the political beliefs of the modern left and right.&amp;lt;ref&amp;gt; [http://www.conservativemonitor.com/top-ten/conflict-of-visions.shtml A Conflict of Visions, by Thomas Sowell] &amp;lt;/ref&amp;gt; Sowell has a Ph.D in [[Economics]] from [[Harvard University]], and is currently a Senior Fellow at [[Stanford University]]'s Hoover Institution. &amp;lt;ref&amp;gt;http://www.tsowell.com/cv.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Sowell, who cites [[George Will]] as a personal influence, prefers writing for popular audiences over writing for more &amp;quot;academic&amp;quot; setting, saying that &amp;quot;writing for the general public enables him to address the heart of issues without the smoke and mirrors that so often accompany academic writing&amp;quot;. &amp;lt;ref&amp;gt;http://www.capmag.com/author.asp?name=3&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Sowell wrote a well-researched book criticizing &amp;quot;[[black redneck culture]]&amp;quot;&amp;lt;ref&amp;gt; [http://www.tsowell.com/Rednecks.htm Black Rednecks &amp;amp;amp; White Liberals]&amp;lt;/ref&amp;gt; in which he points out that, &amp;quot;some blacks resent anything that suggests anything negative about themselves.&amp;quot;&amp;lt;ref&amp;gt; [http://www.capmag.com/article.asp?ID=4296 Black Rednecks and White Liberals: Who's a Redneck?]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Quotes==&lt;br /&gt;
*Too much of what is called &amp;quot;education&amp;quot; is little more than an expensive isolation from reality.&amp;lt;ref&amp;gt; [http://www.boycottliberalism.com/Thomas-Sowell-quotes.htm Conservative Quotes and Messages]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Notes==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Writings==&lt;br /&gt;
*[http://www.tsowell.com/About_Writing.html Some Thoughts about Writing]&lt;br /&gt;
&lt;br /&gt;
{{DEFAULTSORT:Sowell,Thomas}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Economists]]&lt;br /&gt;
[[Category:Conservative Commentators]]&lt;br /&gt;
[[Category:The 100 Americans The Left Hates Most]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Banana&amp;diff=800389</id>
		<title>Banana</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Banana&amp;diff=800389"/>
		<updated>2010-08-03T00:36:40Z</updated>

		<summary type="html">&lt;p&gt;KyleT: Undo revision 800386 by ILOVEUSA (Talk)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Bananas2.jpg|thumb|right|150px|A cluster of Cavendish bananas]]&lt;br /&gt;
A '''banana''' is a [[herbaceous]] cultagenic [[plant]] of the genus ''musa''. Bananas are a tropical fruit from the kingdom ''Plantae,'' the division ''Magnoliophyta,'' the class ''Liliopsida,'' and the order ''zingiberales''&lt;br /&gt;
&lt;br /&gt;
The banana was first found in [[Malaysia]], and by way of curious travelers made it to [[India]], [[China]] and [[Africa]]. By 1402 Portuguese sailors discovered the tropical fruit in their travels to the African continent and populated the [[Canary Islands]] with their first banana plantations. The bananas that were growing in Africa as well as Southeast [[Asia]] were not the eight-to-twelve-[[inch]] giants that have become familiar in the U.S. supermarkets today. They were small, about as long as a man's finger. It was almost three hundred and fifty years later that Americans tasted the first bananas to arrive in their country. Wrapped in tin foil, bananas were sold for 10 cents each at a celebration held in [[Pennsylvania]] in 1876 to commemorate the hundredth anniversary of the [[Declaration of Independence]]. &lt;br /&gt;
&lt;br /&gt;
Before 1960 most bananas were of the cultivar 'Gros Michel'. However they were very vulnerable to disease and have been replaced by the cultivar 'Cavendish' which is considerably more resistant to disease but more vulnerable to bruising creating the need for very elaborate shipping methods.&lt;br /&gt;
[[Category:Fruits]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Homosexuality_obsession&amp;diff=800387</id>
		<title>Homosexuality obsession</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Homosexuality_obsession&amp;diff=800387"/>
		<updated>2010-08-03T00:36:24Z</updated>

		<summary type="html">&lt;p&gt;KyleT: Undo revision 800382 by Cooldood101 (Talk)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Homosexuality obsession''' describes the [[liberal]] preoccupation with  promoting the [[gay agenda]] by means of propaganda. In so doing, supporting [[homosexuality]] has been mislabeled as the socially responsible action, instead of the morally responsible action of guiding the sinner from his temptations. The obsession with the gay lifestyle and all it entails is observed as being omnipresent in outlets controlled by liberals, especially the [[Liberal media]]. Ironically, liberals are seen claiming that they are not obsessive or biased for their constant promotion of homosexuality, while calling [[conservatives]] obsessive and ''[[homophobic]]'' for exposing their propaganda. &lt;br /&gt;
&lt;br /&gt;
==Strategy behind the obsession==&lt;br /&gt;
&lt;br /&gt;
{{cquote|Marshall Kirk, a reportedly brilliant researcher into the brain, and Hunter Madsen, a Harvard-trained expert in public persuasion tactics [are the authors of ''After the Ball'', a book about a 1988 summit of gay leaders in Warrenton, Virginia, who came together to agree on the agenda]. The two men proposed using tactics on ‘straight’ America that are remarkably similar to the brainwashing methods of Mao Tse-Tung's Communist Chinese -- mixed with Madison Avenue's most persuasive selling techniques. The purpose of this brainwashing? According to Kirk and Hudson, it is to use &amp;quot;...the very processes that made America hate us, to turn their hatred into warm regard -- whether they like it or not.&amp;quot; First, they proposed homosexuals and their liberal allies should [[liberal desensitizing|desensitize]] heterosexuals by getting homosexuality talked about as much as possible in the straight world.&lt;br /&gt;
&amp;quot;The main thing,” the authors said, “is talk about gayness until the issue becomes thoroughly tiresome…You can forget about trying right up front to persuade folks that homosexuality is a 'good' thing.  But if you can get them to think it is just 'another' thing, meriting no more than a shrug of the shoulders -- then your battle for legal and social rights is virtually won.&amp;quot;&amp;lt;ref name=&amp;quot;CBN&amp;quot;&amp;gt;http://www.cbn.com/cbnnews/news/060113d.aspx&amp;lt;/ref&amp;gt;}}&lt;br /&gt;
&lt;br /&gt;
==Movies==&lt;br /&gt;
In the last decade, mainstream Hollywood comedies and dramas have featured a [[token gay]] character, almost without fail, a departure from previous cinematic traditions (see [[gay cupid]], [[gay hero]]). The gay cinema documentary ''The Celluloid Closet'' begins with the lines: ''&amp;quot;In a hundred years of movies, homosexuality has only rarely been depicted on the screen. When it did appear, it was there as something to laugh at -- or something to pity -- or even something to fear.&amp;quot;'' and ends with the line: ''&amp;quot;The long silence is finally ending. New voices have emerged, open and unapologetic.&amp;quot;''&amp;lt;ref&amp;gt;http://www.sonypictures.com/classics/celluloid/misc/history.html&amp;lt;/ref&amp;gt; Often, the gay character is portrayed as sympathetic, unable to do any wrong, and a longtime friend (see [[My Best Friend's Wedding]]).&lt;br /&gt;
&lt;br /&gt;
&amp;quot;It is very, very propagandistic, because the entire purpose of the movie is to make homosexuality seem like something good and appealing, and to make people who are opposed to homosexuality bigots and homophobes,&amp;quot;  said David Kupelian, author of ''The Marketing of Evil''.&amp;lt;ref name=&amp;quot;CBN&amp;quot;/&amp;gt; Such an inaccurate picture of the homosexual lifestyle is especially present in movies pitched at teen and younger audiences. For example, it's unlikely that every popular (or unpopular) teen girl has her group of close female friends and ''of course'' a close, effeminate, homosexual male confidant who can be counted on for witty replies and fashion advice.&amp;lt;ref&amp;gt;Juno&amp;lt;/ref&amp;gt; Male characters have casual homosexual friends, or if not, the movie frequently features them having a &amp;quot;homo moment&amp;quot; with implications that they secretly enjoyed it. Homosexuals often also play the role of the [[gay cupid]].&amp;lt;ref&amp;gt;Mean Girls&amp;lt;/ref&amp;gt; &amp;quot;Another point [pushed] is to 'portray gays as victims of circumstance and oppression, not as aggressive challengers...Gays must be portrayed as victims in need of protection, so that straights will be inclined, by reflex, to assume the role of protector.' Benjamin Bull of the Alliance Defense Fund said, 'Suddenly those who choose homosexual behavior...sodomy...are victims.  It's crazy!'&amp;lt;ref name=&amp;quot;CBN&amp;quot;/&amp;gt; &amp;quot;38 new films with gay and lesbian themes are currently in the pipeline and many more will be coming in the near future. No consideration is currently being given to the children viewing these movies.&amp;quot;&amp;lt;ref&amp;gt;[http://www.gopetition.com/petitions/against-promoting-homosexuality-in-the-media-such-as-movies-and-tv-shows.html a petition you should sign]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Television==&lt;br /&gt;
Not only film, but television as well has had the depiction of homosexuality increase manyfold. Programs with homosexual content are shown at hours when children may be watching and stumble upon the salacious content (in soap opera, dinnertime sitcoms, etc). &amp;quot;The casting of homosexuals in various TV shows has skyrocketed. Today there are around 22 television shows on major stations with a homosexual cast member as the main character of the show.&amp;quot; &amp;lt;ref&amp;gt;http://www.bgsu.edu/departments/tcom/faculty/ha/tcom103fall2004/gp16/gp16.pdf&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Magazines==&lt;br /&gt;
On multiple occasions, [[People magazine]] has featured as a cover story some D-list actor or actress, such as Lance Bass or [[Rosie O'Donnell]], coming out of the closet and reveling in his or her homosexual bliss. They also feature open homosexuals in their Most Eligible Bachelors list, an irony that is lost on the publishers.&lt;br /&gt;
&lt;br /&gt;
==Universities==&lt;br /&gt;
[[College]] admission committees shower homosexuals with praise for contributing to &amp;quot;diversity&amp;quot; rather than &amp;quot;perversity&amp;quot;. They equate participation in high school with [[gay and straight allegiance]]s with civically responsible extracurricular activities such as [[sport]]s, [[volunteer]]ing for [[charity]], [[student council]] or the [[debate]] team. Many universities have courses devoted to studying the gay and lesbian &amp;quot;experience&amp;quot; and their history. Some schools even go so far as to have gay and lesbian studies be a minor or major.&lt;br /&gt;
&lt;br /&gt;
==Biblical studies==&lt;br /&gt;
&lt;br /&gt;
Extensive effort has been expended in the area of [[homosexuality and biblical interpretation]] by pro homosexual writers, striving to negate the universal injunctions against homosexual relations, and to force sex into passages that will not support it. Such attempts have been responded to and refuted by traditional scholars and writers,&amp;lt;ref&amp;gt;[http://peacebyjesus.witnesstoday.org/Homosex_versus_the_Bible.html Homosexual relations and the Bible]&amp;lt;/ref&amp;gt; who by God's grace also seek their [[salvation]] through repentance and faith in the Lord Jesus Christ.&lt;br /&gt;
&lt;br /&gt;
==Governmental action==&lt;br /&gt;
Numerous attempts have been made to pass [[hate crime laws]] in the [[United States]], similar to legislation which had been passed in [[Europe]] and [[Canada]], and which has been used to suppress private citizens from portraying homosexuality negatively, or not supporting it equally.&amp;lt;ref&amp;gt;[http://homosexualityandthebible-response.blogspot.com/]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
In addition, portraying those who passively object to homosexuality as mentally deficient can become official policy, such as the government of Brazil recently exampled in asserting 99 percent of its citizens are homophobic, and need to be reeducated.&amp;lt;ref&amp;gt;[http://www.lifesitenews.com/ldn/2009/feb/09021301.html LifeSiteNews.com; February 13, 2009]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Wikipedia==&lt;br /&gt;
[[Wikipedia]] is also notorious for having many articles on homosexual proclivities, from the numerous pro-gay organizations, to various sordid details of bizarre [[homosexual act]]s.&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[Homosexuality in the media]]&lt;br /&gt;
*[[Examples of Bias in Wikipedia]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
{{homosexualityb}}&lt;br /&gt;
[[Category:Homosexuality]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Banana&amp;diff=800383</id>
		<title>Banana</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Banana&amp;diff=800383"/>
		<updated>2010-08-03T00:35:43Z</updated>

		<summary type="html">&lt;p&gt;KyleT: Undo revision 800380 by ILOVEUSA (Talk)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Bananas2.jpg|thumb|right|150px|A cluster of Cavendish bananas]]&lt;br /&gt;
A '''banana''' is a [[herbaceous]] cultagenic [[plant]] of the genus ''musa''. Bananas are a tropical fruit from the kingdom ''Plantae,'' the division ''Magnoliophyta,'' the class ''Liliopsida,'' and the order ''zingiberales''&lt;br /&gt;
&lt;br /&gt;
The banana was first found in [[Malaysia]], and by way of curious travelers made it to [[India]], [[China]] and [[Africa]]. By 1402 Portuguese sailors discovered the tropical fruit in their travels to the African continent and populated the [[Canary Islands]] with their first banana plantations. The bananas that were growing in Africa as well as Southeast [[Asia]] were not the eight-to-twelve-[[inch]] giants that have become familiar in the U.S. supermarkets today. They were small, about as long as a man's finger. It was almost three hundred and fifty years later that Americans tasted the first bananas to arrive in their country. Wrapped in tin foil, bananas were sold for 10 cents each at a celebration held in [[Pennsylvania]] in 1876 to commemorate the hundredth anniversary of the [[Declaration of Independence]]. &lt;br /&gt;
&lt;br /&gt;
Before 1960 most bananas were of the cultivar 'Gros Michel'. However they were very vulnerable to disease and have been replaced by the cultivar 'Cavendish' which is considerably more resistant to disease but more vulnerable to bruising creating the need for very elaborate shipping methods.&lt;br /&gt;
[[Category:Fruits]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800331</id>
		<title>Hooke's Law</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800331"/>
		<updated>2010-08-02T23:44:02Z</updated>

		<summary type="html">&lt;p&gt;KyleT: fix &amp;quot;\vec x&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Hooke's Law''' states that the force exerted by a stretched or compressed spring is a restoring force and is linearly proportional to the distance that the spring is stretched or compressed beyond its relaxed length.  The formula for Hooke's law is &amp;lt;math&amp;gt; \vec F = -k \vec x &amp;lt;/math&amp;gt; where k is the spring stiffness constant which has units of newtons per [[meter]] and &amp;lt;math&amp;gt; \vec x &amp;lt;/math&amp;gt; is the displacement from the equilibrium position.&lt;br /&gt;
&lt;br /&gt;
The negative sign here is to indicate that the force is in the direction opposite the displacement.  For example, if &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt; is to the right, then &amp;lt;math&amp;gt;-k \vec x&amp;lt;/math&amp;gt; is to the left, indicating that the mass is pulled back towards the spring.&lt;br /&gt;
&lt;br /&gt;
The force &amp;lt;math&amp;gt; \vec F = -k \vec x&amp;lt;/math&amp;gt; can be interpreted as a vector field depending on the displacement vector &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  Since this field is the gradient of the function &amp;lt;math&amp;gt;\frac{1}{2} k|\vec x|^2&amp;lt;/math&amp;gt;, this means that &amp;lt;math&amp;gt;\vec F&amp;lt;/math&amp;gt; is a [[conservative field]].  As a result, &amp;lt;math&amp;gt;E = \frac{1}{2} k|\vec x|^2&amp;lt;/math&amp;gt; is conserved, and is the potential energy stored in the string.  Moreover, &amp;lt;math&amp;gt;E&amp;lt;/math&amp;gt; depends only on &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and not the path that the particle takes to get to &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and so it is said to be a [[path independent]] quantity.&lt;br /&gt;
&lt;br /&gt;
It should be noted that in reality, Hooke's law is merely an approximation, and no physical spring actually has precisely this behavior.  However, for most materials a version of Hooke's law holds for reasonable ranges of &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  This is called the ''elastic range'' of the material.&lt;br /&gt;
&lt;br /&gt;
If a particle moves only under the influence of the force exerted by a spring, then Newton's second law (&amp;lt;math&amp;gt;\vec F = m \vec a&amp;lt;/math&amp;gt;) implies that its displacement satisfies the second-order [[differential equation]] &amp;lt;math&amp;gt;m\ddot{\vec x} = - k \vec x&amp;lt;/math&amp;gt;.  This is solved by &amp;lt;math&amp;gt;\vec x(t) = \vec x_0 \cos(\omega t)&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;\omega = \sqrt{k/m}&amp;lt;/math&amp;gt; is the frequency of oscillation: thus the particle moves in a &amp;quot;sine wave&amp;quot; shape.  This is an example of [[simple harmonic motion]].&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800328</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800328"/>
		<updated>2010-08-02T23:38:48Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */  trim to focus on the key question&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
&lt;br /&gt;
'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
&lt;br /&gt;
:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
&lt;br /&gt;
::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
&lt;br /&gt;
::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
  &lt;br /&gt;
:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
&lt;br /&gt;
::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
  &lt;br /&gt;
:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
   &lt;br /&gt;
:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
&lt;br /&gt;
:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
  &lt;br /&gt;
:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
&lt;br /&gt;
::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
&lt;br /&gt;
For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
     &lt;br /&gt;
Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
&lt;br /&gt;
Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
&lt;br /&gt;
Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
            &lt;br /&gt;
But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
&lt;br /&gt;
== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
&lt;br /&gt;
The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
&lt;br /&gt;
:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
&lt;br /&gt;
:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
&lt;br /&gt;
::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
&lt;br /&gt;
::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
&lt;br /&gt;
::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
&lt;br /&gt;
*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
&lt;br /&gt;
I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
  &lt;br /&gt;
::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
&lt;br /&gt;
As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
&lt;br /&gt;
:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
&lt;br /&gt;
:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
&lt;br /&gt;
:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
&lt;br /&gt;
:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
&lt;br /&gt;
::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
&lt;br /&gt;
::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
&lt;br /&gt;
::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
== lack of a single useful device ==&lt;br /&gt;
&lt;br /&gt;
At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
&lt;br /&gt;
''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
&lt;br /&gt;
GPS seems to be a useful device!&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
&lt;br /&gt;
:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
&lt;br /&gt;
::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
&lt;br /&gt;
::Accelerators have applications beyond basic research!&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
&lt;br /&gt;
::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== GPS revisited ==&lt;br /&gt;
&lt;br /&gt;
The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
&lt;br /&gt;
''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
&lt;br /&gt;
As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
&lt;br /&gt;
''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
&lt;br /&gt;
Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
== Several Clarification/Corrections ==&lt;br /&gt;
&lt;br /&gt;
I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
&lt;br /&gt;
1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
&lt;br /&gt;
5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
&lt;br /&gt;
6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
&lt;br /&gt;
7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
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8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
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9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
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10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
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I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
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:REPLY BELOW:&lt;br /&gt;
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::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
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::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
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::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
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::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
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::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
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::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
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::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
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Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
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The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
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[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;br /&gt;
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::::::: You take a narrow view of the significance of a &amp;quot;conservative field.&amp;quot;  Independent physical attributes should remain path-independent as well for the field to be conservative.  In Newtonian mechanics and most other physical force fields, they do.--[[User:Aschlafly|Andy Schlafly]] 15:41, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::: By a conservative field, I mean a vector field on space for which there exists a scalar function V with the gradient of V given by that vector field.  This doesn't imply the path-independence of any physical quantities other than V itself.  If you this view as too narrow, can you tell me what you take to be the definition of a conservative field? --[[User:KyleT|KyleT]] 15:57, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::: Your definition is too narrow when discussing the theory of relativity, which describes the framework in which the force operates.  To be meaningful, the definition must be broader.  It must ensure the path independence of the scalar, as well as other scalars independent of that scalar.--[[User:Aschlafly|Andy Schlafly]] 18:12, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::::: Can you tell me what the correct definition is, then?  I have pretty good background in this stuff, no need to dumb it down, just be precise.  Certainly no field at all is going to conserve every scalar function, so I'd like to know which ones you want. --[[User:KyleT|KyleT]] 18:20, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::::: Kyle, I have an [[Essay:Quantifying Openmindedness|open mind]] about this, and don't see a precise definition anywhere that would be meaningful with respect to the theory of relativity.  It's striking how relativists avoid this issue, and even stop discussing it when it is brought up.&lt;br /&gt;
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::::::::::: I can propose a definition that you may be able to improve.  How about: a conservative theory of motion is one whereby scalar values of a particle are independent of its path of motion.--[[User:Aschlafly|Andy Schlafly]] 18:36, 2 August 2010 (EDT)&lt;br /&gt;
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That's an interesting proposal, and I too have an open mind about this.  Can you give an example of such a ''conservative theory of motion''?  One such would greatly help in devising the correct definition. --[[User:KyleT|KyleT]] 19:29, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
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	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800327</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800327"/>
		<updated>2010-08-02T23:29:21Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */  conservative theories of motion&lt;/p&gt;
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&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
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:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
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::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
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::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
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:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
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:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
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::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
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::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
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::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
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:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
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:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
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:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
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:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
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:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
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::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
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:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
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== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
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For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
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Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
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Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
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Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
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But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
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== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
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The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
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:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
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:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
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::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
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::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
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::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
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::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
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:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
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::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
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::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
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: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
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*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
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I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
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::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
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IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
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As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
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:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
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::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
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:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
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:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
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:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
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::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
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::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
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::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
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:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
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::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
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::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
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A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
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: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
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== lack of a single useful device ==&lt;br /&gt;
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At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
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''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
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GPS seems to be a useful device!&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
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:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
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::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
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::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
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::Accelerators have applications beyond basic research!&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
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::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
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::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
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The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
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''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
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As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
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''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
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Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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== Several Clarification/Corrections ==&lt;br /&gt;
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I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
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1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
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5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
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6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
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7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
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8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
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9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
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10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
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I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
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:REPLY BELOW:&lt;br /&gt;
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::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
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::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
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::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
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::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
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::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
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::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
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::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
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Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
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The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
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[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;br /&gt;
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::::::: You take a narrow view of the significance of a &amp;quot;conservative field.&amp;quot;  Independent physical attributes should remain path-independent as well for the field to be conservative.  In Newtonian mechanics and most other physical force fields, they do.--[[User:Aschlafly|Andy Schlafly]] 15:41, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::: By a conservative field, I mean a vector field on space for which there exists a scalar function V with the gradient of V given by that vector field.  This doesn't imply the path-independence of any physical quantities other than V itself.  If you this view as too narrow, can you tell me what you take to be the definition of a conservative field? --[[User:KyleT|KyleT]] 15:57, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::: Your definition is too narrow when discussing the theory of relativity, which describes the framework in which the force operates.  To be meaningful, the definition must be broader.  It must ensure the path independence of the scalar, as well as other scalars independent of that scalar.--[[User:Aschlafly|Andy Schlafly]] 18:12, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::::: Can you tell me what the correct definition is, then?  I have pretty good background in this stuff, no need to dumb it down, just be precise.  Certainly no field at all is going to conserve every scalar function, so I'd like to know which ones you want. --[[User:KyleT|KyleT]] 18:20, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::::: Kyle, I have an [[Essay:Quantifying Openmindedness|open mind]] about this, and don't see a precise definition anywhere that would be meaningful with respect to the theory of relativity.  It's striking how relativists avoid this issue, and even stop discussing it when it is brought up.&lt;br /&gt;
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::::::::::: I can propose a definition that you may be able to improve.  How about: a conservative theory of motion is one whereby scalar values of a particle are independent of its path of motion.--[[User:Aschlafly|Andy Schlafly]] 18:36, 2 August 2010 (EDT)&lt;br /&gt;
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That's an interesting proposal, and I too have an open mind about this.  What do you mean by a &amp;quot;theory of motion&amp;quot;, as opposed to just a vector field (and can we still define a &amp;quot;conservative vector field&amp;quot;)?  Can you give an example of such a ''conservative theory of motion''?  One such would greatly help in devising the correct definition. --[[User:KyleT|KyleT]] 19:29, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800326</id>
		<title>Hooke's Law</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800326"/>
		<updated>2010-08-02T23:20:15Z</updated>

		<summary type="html">&lt;p&gt;KyleT: simple harmonic motion&lt;/p&gt;
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&lt;div&gt;'''Hooke's Law''' states that the force exerted by a stretched or compressed spring is a restoring force and is linearly proportional to the distance that the spring is stretched or compressed beyond its relaxed length.  The formula for Hooke's law is &amp;lt;math&amp;gt; \vec F = -k \vec x &amp;lt;/math&amp;gt; where k is the spring stiffness constant which has units of newtons per [[meter]] and &amp;lt;math&amp;gt; \vec x &amp;lt;/math&amp;gt; is the displacement from the equilibrium position.&lt;br /&gt;
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The negative sign here is to indicate that the force is in the direction opposite the displacement.  For example, if &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt; is to the right, then &amp;lt;math&amp;gt;-k \vec x&amp;lt;/math&amp;gt; is to the left, indicating that the mass is pulled back towards the spring.&lt;br /&gt;
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The force &amp;lt;math&amp;gt; \vec F = -k \vec x&amp;lt;/math&amp;gt; can be interpreted as a vector field depending on the displacement vector &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  Since this field is the gradient of the function &amp;lt;math&amp;gt;\frac{1}{2} k|x|^2&amp;lt;/math&amp;gt;, this means that &amp;lt;math&amp;gt;\vec F&amp;lt;/math&amp;gt; is a [[conservative field]].  As a result, &amp;lt;math&amp;gt;E = \frac{1}{2} kx^2&amp;lt;/math&amp;gt; is conserved, and is the potential energy stored in the string.  Moreover, &amp;lt;math&amp;gt;E&amp;lt;/math&amp;gt; depends only on &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and not the path that the particle takes to get to &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and so it is said to be a [[path independent]] quantity.&lt;br /&gt;
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It should be noted that in reality, Hooke's law is merely an approximation, and no physical spring actually has precisely this behavior.  However, for most materials a version of Hooke's law holds for reasonable ranges of &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  This is called the ''elastic range'' of the material.&lt;br /&gt;
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If a particle moves only under the influence of the force exerted by a spring, then Newton's second law (&amp;lt;math&amp;gt;\vec F = m \vec a&amp;lt;/math&amp;gt;) implies that its displacement satisfies the second-order [[differential equation]] &amp;lt;math&amp;gt;m\ddot{\vec x} = - k \vec x&amp;lt;/math&amp;gt;.  This is solved by &amp;lt;math&amp;gt;\vec x(t) = \vec x_0 \cos(\omega t)&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;\omega = \sqrt{k/m}&amp;lt;/math&amp;gt; is the frequency of oscillation: thus the particle moves in a &amp;quot;sine wave&amp;quot; shape.  This is an example of [[simple harmonic motion]].&lt;br /&gt;
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[[Category:Physics]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800323</id>
		<title>Hooke's Law</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800323"/>
		<updated>2010-08-02T23:12:08Z</updated>

		<summary type="html">&lt;p&gt;KyleT: is an approximation&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Hooke's Law''' states that the force exerted by a stretched or compressed spring is a restoring force and is linearly proportional to the distance that the spring is stretched or compressed beyond its relaxed length.  The formula for Hooke's law is &amp;lt;math&amp;gt; \vec F = -k \vec x &amp;lt;/math&amp;gt; where k is the spring stiffness constant which has units of newtons per [[meter]] and &amp;lt;math&amp;gt; \vec x &amp;lt;/math&amp;gt; is the displacement from the equilibrium position.&lt;br /&gt;
&lt;br /&gt;
The negative sign here is to indicate that the force is in the direction opposite the displacement.  For example, if &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt; is to the right, then &amp;lt;math&amp;gt;-k \vec x&amp;lt;/math&amp;gt; is to the left, indicating that the mass is pulled back towards the spring.&lt;br /&gt;
&lt;br /&gt;
The force &amp;lt;math&amp;gt; \vec F = -k \vec x&amp;lt;/math&amp;gt; can be interpreted as a vector field depending on the displacement vector &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  Since this field is the gradient of the function &amp;lt;math&amp;gt;\frac{1}{2} k|x|^2&amp;lt;/math&amp;gt;, this means that &amp;lt;math&amp;gt;\vec F&amp;lt;/math&amp;gt; is a [[conservative field]].  As a result, &amp;lt;math&amp;gt;E = \frac{1}{2} kx^2&amp;lt;/math&amp;gt; is conserved, and is the potential energy stored in the string.  Moreover, &amp;lt;math&amp;gt;E&amp;lt;/math&amp;gt; depends only on &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and not the path that the particle takes to get to &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and so it is said to be a [[path independent]] quantity.&lt;br /&gt;
&lt;br /&gt;
It should be noted that in reality, Hooke's law is merely an approximation, and no physical spring actually has precisely this behavior.  However, for most materials a version of Hooke's law holds for reasonable ranges of &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  This is called the ''elastic range'' of the material.&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800322</id>
		<title>Hooke's Law</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800322"/>
		<updated>2010-08-02T23:09:18Z</updated>

		<summary type="html">&lt;p&gt;KyleT: another typo... yikes!&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Hooke's Law''' states that the force exerted by a stretched or compressed spring is a restoring force and is linearly proportional to the distance that the spring is stretched or compressed beyond its relaxed length.  The formula for Hooke's law is &amp;lt;math&amp;gt; \vec F = -k \vec x &amp;lt;/math&amp;gt; where k is the spring stiffness constant which has units of newtons per [[meter]] and &amp;lt;math&amp;gt; \vec x &amp;lt;/math&amp;gt; is the displacement from the equilibrium position.&lt;br /&gt;
&lt;br /&gt;
The negative sign here is to indicate that the force is in the direction opposite the displacement.  For example, if &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt; is to the right, then &amp;lt;math&amp;gt;-k \vec x&amp;lt;/math&amp;gt; is to the left, indicating that the mass is pulled back towards the spring.&lt;br /&gt;
&lt;br /&gt;
The force &amp;lt;math&amp;gt; \vec F = -k \vec x&amp;lt;/math&amp;gt; can be interpreted as a vector field depending on the displacement vector &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  Since this field is the gradient of the function &amp;lt;math&amp;gt;\frac{1}{2} k|x|^2&amp;lt;/math&amp;gt;, this means that &amp;lt;math&amp;gt;\vec F&amp;lt;/math&amp;gt; is a [[conservative field]].  As a result, &amp;lt;math&amp;gt;E = \frac{1}{2} kx^2&amp;lt;/math&amp;gt; is conserved, and is the potential energy stored in the string.  Moreover, &amp;lt;math&amp;gt;E&amp;lt;/math&amp;gt; depends only on &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and not the path that the particle takes to get to &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and so it is said to be a [[path independent]] quantity.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800321</id>
		<title>Hooke's Law</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800321"/>
		<updated>2010-08-02T23:08:57Z</updated>

		<summary type="html">&lt;p&gt;KyleT: typo&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Hooke's Law''' states that the force exerted by a stretched or compressed spring is a restoring force and is linearly proportional to the distance that the spring is stretched or compressed beyond its relaxed length.  The formula for Hooke's law is &amp;lt;math&amp;gt; \vec F = -k \vec x &amp;lt;/math&amp;gt; where k is the spring stiffness constant which has units of newtons per [[meter]] and &amp;lt;math&amp;gt; \vec x &amp;lt;/math&amp;gt; is the displacement from the equilibrium position.&lt;br /&gt;
&lt;br /&gt;
The negative sign here is to indicate that the force is in the direction opposite the displacement.  For example, if &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt; is to the right, then &amp;lt;math&amp;gt;-k \vec x&amp;lt;/math&amp;gt; is to the left, indicating that the mass is pulled back towards the spring.&lt;br /&gt;
&lt;br /&gt;
The force &amp;lt;math&amp;gt; \vec F = -k \vec x&amp;lt;/math&amp;gt; can be interpreted as a vector field depending on the displacement vector &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  Since this field is the gradient of the function &amp;lt;math&amp;gt;\frac{1}{2} k|x|^2&amp;lt;/math&amp;gt;, this means that &amp;lt;math&amp;gt;\vec F&amp;lt;/math&amp;gt; is a [[conservative field]].  As a result, &amp;lt;math&amp;gt;E = \frac{1}{2} kx^2&amp;lt;/math&amp;gt; is conserved, and is the potential energy stored in the string.  Moreover, &amp;lt;math&amp;gt;E&amp;lt;/math&amp;gt; depends only on &amp;lt;math&amp;gt;\ver x&amp;lt;/math&amp;gt;, and not the path that the particle takes to get to &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and so it is said to be a [[path independent]] quantity.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800320</id>
		<title>Hooke's Law</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800320"/>
		<updated>2010-08-02T23:08:39Z</updated>

		<summary type="html">&lt;p&gt;KyleT: conservative&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Hooke's Law''' states that the force exerted by a stretched or compressed spring is a restoring force and is linearly proportional to the distance that the spring is stretched or compressed beyond its relaxed length.  The formula for Hooke's law is &amp;lt;math&amp;gt; \vec F = -k \vec x &amp;lt;/math&amp;gt; where k is the spring stiffness constant which has units of newtons per [[meter]] and &amp;lt;math&amp;gt; \vec x &amp;lt;/math&amp;gt; is the displacement from the equilibrium position.&lt;br /&gt;
&lt;br /&gt;
The negative sign here is to indicate that the force is in the direction opposite the displacement.  For example, if &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt; is to the right, then &amp;lt;math&amp;gt;-k \vec x&amp;lt;/math&amp;gt; is to the left, indicating that the mass is pulled back towards the spring.&lt;br /&gt;
&lt;br /&gt;
The force &amp;lt;math&amp;gt; \vec F = -k \vec x&amp;lt;/math&amp;gt; can be interpreted as a vector field depending on the displacement vector &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;.  Since this field is the gradient of the function &amp;lt;math&amp;gt;\frac{1}{2} k|x|^2&amp;lt;/math&amp;gt;, this means that &amp;lt;math&amp;gt;\ver F&amp;lt;/math&amp;gt; is a [[conservative field]].  As a result, &amp;lt;math&amp;gt;E = \frac{1}{2} kx^2&amp;lt;/math&amp;gt; is conserved, and is the potential energy stored in the string.  Moreover, &amp;lt;math&amp;gt;E&amp;lt;/math&amp;gt; depends only on &amp;lt;math&amp;gt;\ver x&amp;lt;/math&amp;gt;, and not the path that the particle takes to get to &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt;, and so it is said to be a [[path independent]] quantity.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800318</id>
		<title>Hooke's Law</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Hooke%27s_Law&amp;diff=800318"/>
		<updated>2010-08-02T23:03:38Z</updated>

		<summary type="html">&lt;p&gt;KyleT: explanation of sign&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Hooke's Law''' states that the force exerted by a stretched or compressed spring is a restoring force and is linearly proportional to the distance that the spring is stretched or compressed beyond its relaxed length.  The formula for Hooke's law is &amp;lt;math&amp;gt; \vec F = -k \vec x &amp;lt;/math&amp;gt; where k is the spring stiffness constant which has units of newtons per [[meter]] and &amp;lt;math&amp;gt; \vec x &amp;lt;/math&amp;gt; is the displacement from the equilibrium position.&lt;br /&gt;
&lt;br /&gt;
The negative sign here is to indicate that the force is in the direction opposite the displacement.  For example, if &amp;lt;math&amp;gt;\vec x&amp;lt;/math&amp;gt; is to the right, then &amp;lt;math&amp;gt;-k \vec x&amp;lt;/math&amp;gt; is to the left, indicating that the mass is pulled back towards the spring.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800314</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800314"/>
		<updated>2010-08-02T22:20:52Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
&lt;br /&gt;
'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
&lt;br /&gt;
:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
&lt;br /&gt;
::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
&lt;br /&gt;
::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
  &lt;br /&gt;
:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
&lt;br /&gt;
::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
  &lt;br /&gt;
:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
   &lt;br /&gt;
:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
&lt;br /&gt;
:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
  &lt;br /&gt;
:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
&lt;br /&gt;
::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
&lt;br /&gt;
For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
     &lt;br /&gt;
Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
&lt;br /&gt;
Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
&lt;br /&gt;
Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
            &lt;br /&gt;
But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
&lt;br /&gt;
== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
&lt;br /&gt;
The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
&lt;br /&gt;
:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
&lt;br /&gt;
:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
&lt;br /&gt;
::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
&lt;br /&gt;
::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
&lt;br /&gt;
::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
&lt;br /&gt;
*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
&lt;br /&gt;
I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
  &lt;br /&gt;
::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
&lt;br /&gt;
As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
&lt;br /&gt;
:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
&lt;br /&gt;
:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
&lt;br /&gt;
:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
&lt;br /&gt;
:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
&lt;br /&gt;
::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
&lt;br /&gt;
::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
&lt;br /&gt;
::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
== lack of a single useful device ==&lt;br /&gt;
&lt;br /&gt;
At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
&lt;br /&gt;
''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
&lt;br /&gt;
GPS seems to be a useful device!&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
&lt;br /&gt;
:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
&lt;br /&gt;
::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
&lt;br /&gt;
::Accelerators have applications beyond basic research!&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
&lt;br /&gt;
::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
&lt;br /&gt;
The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
&lt;br /&gt;
''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
&lt;br /&gt;
As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
&lt;br /&gt;
''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
&lt;br /&gt;
Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
== Several Clarification/Corrections ==&lt;br /&gt;
&lt;br /&gt;
I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
&lt;br /&gt;
1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
&lt;br /&gt;
5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
&lt;br /&gt;
6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
&lt;br /&gt;
7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
&lt;br /&gt;
8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
&lt;br /&gt;
9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
&lt;br /&gt;
10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
&lt;br /&gt;
I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:REPLY BELOW:&lt;br /&gt;
&lt;br /&gt;
::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
&lt;br /&gt;
::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
&lt;br /&gt;
::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
&lt;br /&gt;
::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
&lt;br /&gt;
::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
&lt;br /&gt;
The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
&lt;br /&gt;
[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;br /&gt;
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::::::: You take a narrow view of the significance of a &amp;quot;conservative field.&amp;quot;  Independent physical attributes should remain path-independent as well for the field to be conservative.  In Newtonian mechanics and most other physical force fields, they do.--[[User:Aschlafly|Andy Schlafly]] 15:41, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::: By a conservative field, I mean a vector field on space for which there exists a scalar function V with the gradient of V given by that vector field.  This doesn't imply the path-independence of any physical quantities other than V itself.  If you this view as too narrow, can you tell me what you take to be the definition of a conservative field? --[[User:KyleT|KyleT]] 15:57, 2 August 2010 (EDT)&lt;br /&gt;
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::::::::: Your definition is too narrow when discussing the theory of relativity, which describes the framework in which the force operates.  To be meaningful, the definition must be broader.  It must ensure the path independence of the scalar, as well as other scalars independent of that scalar.--[[User:Aschlafly|Andy Schlafly]] 18:12, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::::: Can you tell me what the correct definition is, then?  I have pretty good background in this stuff, no need to dumb it down, just be precise.  Certainly no field at all is going to conserve every scalar function, so I'd like to know which ones you want. --[[User:KyleT|KyleT]] 18:20, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
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		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800296</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800296"/>
		<updated>2010-08-02T19:57:19Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */ cut down my post to focus on the real question&lt;/p&gt;
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&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
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Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
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:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
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::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
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::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
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:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
  &lt;br /&gt;
:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
&lt;br /&gt;
::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
  &lt;br /&gt;
:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
   &lt;br /&gt;
:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
&lt;br /&gt;
:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
  &lt;br /&gt;
:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
&lt;br /&gt;
::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
&lt;br /&gt;
For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
     &lt;br /&gt;
Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
&lt;br /&gt;
Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
&lt;br /&gt;
Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
            &lt;br /&gt;
But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
&lt;br /&gt;
== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
&lt;br /&gt;
The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
&lt;br /&gt;
:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
&lt;br /&gt;
:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
&lt;br /&gt;
::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
&lt;br /&gt;
::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
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::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
&lt;br /&gt;
::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
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: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
&lt;br /&gt;
*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
&lt;br /&gt;
I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
  &lt;br /&gt;
::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
&lt;br /&gt;
As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
&lt;br /&gt;
:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
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&lt;br /&gt;
::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
&lt;br /&gt;
:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
&lt;br /&gt;
:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
&lt;br /&gt;
:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
&lt;br /&gt;
::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
&lt;br /&gt;
::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
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:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
&lt;br /&gt;
::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
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== lack of a single useful device ==&lt;br /&gt;
&lt;br /&gt;
At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
&lt;br /&gt;
''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
&lt;br /&gt;
GPS seems to be a useful device!&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
&lt;br /&gt;
:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
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::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
&lt;br /&gt;
::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
&lt;br /&gt;
::Accelerators have applications beyond basic research!&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
&lt;br /&gt;
::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
&lt;br /&gt;
The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
&lt;br /&gt;
''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
&lt;br /&gt;
As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
&lt;br /&gt;
''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
&lt;br /&gt;
Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
== Several Clarification/Corrections ==&lt;br /&gt;
&lt;br /&gt;
I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
&lt;br /&gt;
1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
&lt;br /&gt;
5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
&lt;br /&gt;
6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
&lt;br /&gt;
7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
&lt;br /&gt;
8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
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9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
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10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
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I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
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:REPLY BELOW:&lt;br /&gt;
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::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
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::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
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::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
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::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
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::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
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::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
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::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
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Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
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The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
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[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;br /&gt;
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::::::: You take a narrow view of the significance of a &amp;quot;conservative field.&amp;quot;  Independent physical attributes should remain path-independent as well for the field to be conservative.  In Newtonian mechanics and most other physical force fields, they do.--[[User:Aschlafly|Andy Schlafly]] 15:41, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::: By a conservative field, I mean a vector field on space for which there exists a scalar function V with the gradient of V given by that vector field.  This doesn't imply the path-independence of any physical quantities other than V itself.  If you this view as too narrow, can you tell me what you take to be the definition of a conservative field? --[[User:KyleT|KyleT]] 15:57, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800294</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800294"/>
		<updated>2010-08-02T19:49:40Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */&lt;/p&gt;
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&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
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Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
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:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
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::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
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::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
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:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
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:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
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::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
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::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
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::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
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:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
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:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
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:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
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:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
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:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
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::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
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:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
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== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
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For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
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Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
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Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
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Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
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But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
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== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
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The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
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:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
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:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
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::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
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::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
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::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
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::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
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:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
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::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
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::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
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: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
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*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
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I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
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::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
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IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
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As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
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:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
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::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
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:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
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:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
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:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
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::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
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::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
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:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
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::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
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A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
== lack of a single useful device ==&lt;br /&gt;
&lt;br /&gt;
At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
&lt;br /&gt;
''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
&lt;br /&gt;
GPS seems to be a useful device!&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
&lt;br /&gt;
:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
&lt;br /&gt;
::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
&lt;br /&gt;
::Accelerators have applications beyond basic research!&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
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::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
&lt;br /&gt;
::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
&lt;br /&gt;
The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
&lt;br /&gt;
''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
&lt;br /&gt;
As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
&lt;br /&gt;
''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
&lt;br /&gt;
Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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== Several Clarification/Corrections ==&lt;br /&gt;
&lt;br /&gt;
I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
&lt;br /&gt;
1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
&lt;br /&gt;
5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
&lt;br /&gt;
6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
&lt;br /&gt;
7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
&lt;br /&gt;
8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
&lt;br /&gt;
9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
&lt;br /&gt;
10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
&lt;br /&gt;
I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
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:REPLY BELOW:&lt;br /&gt;
&lt;br /&gt;
::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
&lt;br /&gt;
::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
&lt;br /&gt;
::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
&lt;br /&gt;
::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
&lt;br /&gt;
::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
&lt;br /&gt;
The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
&lt;br /&gt;
[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
&lt;br /&gt;
Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Reversion explained ==&lt;br /&gt;
&lt;br /&gt;
Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;br /&gt;
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::::::: You take a narrow view of the significance of a &amp;quot;conservative field.&amp;quot;  Independent physical attributes should remain path-independent as well for the field to be conservative.  In Newtonian mechanics and most other physical force fields, they do.--[[User:Aschlafly|Andy Schlafly]] 15:41, 2 August 2010 (EDT)&lt;br /&gt;
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:::::::: A conservative field conserves exactly one quantity -- its potential, and the existence of such a potential is the ''definition'' of a conservative field.  Independent physical attributes might remain path-independent as well, but that's because they have their own conservative fields associated to them.  For example, electric potential is also path-independent, but that's because it comes from the electric field, which is conservative because of Coulomb's law.  Many other quantities (temperature, say) aren't path-independent when moving in a gravitational field, but that doesn't mean it's not a conservative field.&lt;br /&gt;
:::::::: Perhaps if you think my view here is too narrow, you could suggest the correct definition of a conservative field? --[[User:KyleT|KyleT]] 15:49, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800281</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800281"/>
		<updated>2010-08-02T19:00:01Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */&lt;/p&gt;
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&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
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Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
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:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
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::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
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::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
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:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
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:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
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::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
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::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
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::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
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:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
  &lt;br /&gt;
:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
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:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
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:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
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:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
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::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
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:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
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== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
&lt;br /&gt;
For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
     &lt;br /&gt;
Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
&lt;br /&gt;
Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
&lt;br /&gt;
Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
            &lt;br /&gt;
But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
&lt;br /&gt;
== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
&lt;br /&gt;
The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
&lt;br /&gt;
:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
&lt;br /&gt;
:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
&lt;br /&gt;
::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
&lt;br /&gt;
::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
&lt;br /&gt;
::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
&lt;br /&gt;
I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
&lt;br /&gt;
*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
&lt;br /&gt;
I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
  &lt;br /&gt;
::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
&lt;br /&gt;
As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
&lt;br /&gt;
:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
&lt;br /&gt;
:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
&lt;br /&gt;
:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
&lt;br /&gt;
:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
&lt;br /&gt;
::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
&lt;br /&gt;
::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
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:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
&lt;br /&gt;
::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
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== lack of a single useful device ==&lt;br /&gt;
&lt;br /&gt;
At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
&lt;br /&gt;
''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
&lt;br /&gt;
GPS seems to be a useful device!&lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
&lt;br /&gt;
:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
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::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
&lt;br /&gt;
::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
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::Accelerators have applications beyond basic research!&lt;br /&gt;
&lt;br /&gt;
::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
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::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
&lt;br /&gt;
::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
&lt;br /&gt;
The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
&lt;br /&gt;
''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
&lt;br /&gt;
As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
&lt;br /&gt;
''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
&lt;br /&gt;
Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
&lt;br /&gt;
[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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== Several Clarification/Corrections ==&lt;br /&gt;
&lt;br /&gt;
I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
&lt;br /&gt;
1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
&lt;br /&gt;
5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
&lt;br /&gt;
6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
&lt;br /&gt;
7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
&lt;br /&gt;
8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
&lt;br /&gt;
9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
&lt;br /&gt;
10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
&lt;br /&gt;
I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:REPLY BELOW:&lt;br /&gt;
&lt;br /&gt;
::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
&lt;br /&gt;
::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
&lt;br /&gt;
::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
&lt;br /&gt;
:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
&lt;br /&gt;
::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
&lt;br /&gt;
:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
&lt;br /&gt;
::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
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::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
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::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
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Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
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The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
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[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;br /&gt;
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::::: Gravity.--[[User:Aschlafly|Andy Schlafly]] 14:53, 2 August 2010 (EDT)&lt;br /&gt;
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:::::: Well, in Newtonian mechanics, the gravitational field is indeed conservative -- it's the negative gradient of the gravitational potential!   But what this means is that gravitational potential energy is path-independent: it doesn't say anything about path-independence any other quantities, and in particular it's not the reason for the path-independence of age.  --[[User:KyleT|KyleT]] 15:00, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800249</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800249"/>
		<updated>2010-08-02T18:37:32Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */&lt;/p&gt;
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&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
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Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
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:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
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::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
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::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
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:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
  &lt;br /&gt;
:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
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::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
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::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
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::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
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:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
  &lt;br /&gt;
:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
   &lt;br /&gt;
:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
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:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
  &lt;br /&gt;
:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
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::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
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:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
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== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
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For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
     &lt;br /&gt;
Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
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Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
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Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
            &lt;br /&gt;
But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
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== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
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The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
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:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
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:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
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::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
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::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
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::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
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::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
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:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
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::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
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::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
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: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
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*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
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I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
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::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
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IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
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As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
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:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
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::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
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:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
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:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
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:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
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::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
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::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
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::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
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:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
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::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
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::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
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A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
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: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
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== lack of a single useful device ==&lt;br /&gt;
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At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
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''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
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GPS seems to be a useful device!&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
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:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
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::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
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::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
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::Accelerators have applications beyond basic research!&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
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::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
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::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
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The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
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''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
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As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
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''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
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Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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== Several Clarification/Corrections ==&lt;br /&gt;
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I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
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1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
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5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
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6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
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7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
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8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
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9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
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10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
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I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
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:REPLY BELOW:&lt;br /&gt;
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::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
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::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
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::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
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::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
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::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
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::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
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::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
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Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
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The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
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[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Its curl is&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
&lt;br /&gt;
When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;br /&gt;
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::: Age is scalar physical attribute.  It should not be path dependent in a [[conservative field]].--[[User:Aschlafly|Andy Schlafly]] 14:31, 2 August 2010 (EDT)&lt;br /&gt;
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:::: Yes, but which [[conservative field]] in particular are you talking about here (that implies age is not path dependent)?  --[[User:KyleT|KyleT]] 14:37, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800238</id>
		<title>Talk:Counterexamples to Relativity</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Counterexamples_to_Relativity&amp;diff=800238"/>
		<updated>2010-08-02T18:04:17Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Curl of the gravitaional field */&lt;/p&gt;
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&lt;div&gt;'''Attention: Please review previous points on the discussion page before adding your own commentary.  Many topics have been discussed many, many, times.  If you have something new to add, feel free, but it is not necessary or helpful to read the same arguments over and over and over.'''&lt;br /&gt;
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'''Raising arguments which have been discussed before wastes the time of valuable editors and repeatedly doing so violates 90/10.'''&lt;br /&gt;
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Andy, can you clarify #4 for me?  I'm not sure I understand it. [[User:JacobB|JacobB]] 21:50, 28 November 2009 (EST)&lt;br /&gt;
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:Sure, I welcome discussion of these important points.  As I've said, I have an open mind about this and if something is true, then I accept it.  But if something is false, I'll criticize it.&lt;br /&gt;
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:The theory of relativity has taught for decades that as the velocity of a mass increases, then its (scalar) relativistic mass increases per the Lorentzian transformation.  Now apply a force ORTHOGONAL to the velocity.  Does that force encounter the increased mass, as relativity says, or encounter the rest mass, as logic would dictate?--[[User:Aschlafly|Andy Schlafly]] 22:02, 28 November 2009 (EST)&lt;br /&gt;
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::Ah, I see what you mean.  May I suggest a re-wording?  &amp;quot;The logical problem of a force which is applied at a right angle to the velocity of a relativistic mass.&amp;quot;  I think that might be a little clearer than it is currently stated.  Your thoughts? [[User:JacobB|JacobB]] 22:06, 28 November 2009 (EST)&lt;br /&gt;
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:::Please do.  Your edits are always welcome, and you've suggested an improvement here.  Thank you for making this change.--[[User:Aschlafly|Andy Schlafly]] 22:20, 28 November 2009 (EST)&lt;br /&gt;
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::Why would logic dictate that?  Mass is a scalar, and a force from any direction should encounter the same increased mass, not different masses from different directions.&lt;br /&gt;
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::I suppose that under Newtonian mechanics, a moving object has a velocity of 0 within the plane perpendicular to its line of motion, and any forces operating in that plane will act on the object as if it is at rest.  But that's not what ''logic'' dictates, that's what the ''previous theory'' dictates.  &lt;br /&gt;
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::Essentially your counterexample to relativity is that it makes a prediction that contradicts Newton's laws.   This is neithe r a contradiction nor a logical problem, and it is should be edited out.[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::No, it's a logical problem.  If you're suggesting that one force can affect the inertial in an entirely independent, orthogonal direction, that's illogical.  One thing cannot affect something else that is entirely independent.--[[User:Aschlafly|Andy Schlafly]] 15:40, 12 December 2009 (EST)&lt;br /&gt;
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:::: Why is that illogical?  What logical principle does it violate? &lt;br /&gt;
  &lt;br /&gt;
:::: See, in relativity, orthogonal doesn't ''mean'' independent.  In relativity, velocity vectors ''do not add.''  In relativity, the effect of a new force is not independent of the object's existing momentum.  And there is nothing illogical about that; it's just a new theory that contradicts the intuition from the previous theory.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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::::: Ng, something cannot be independent (orthogonal) and yet dependent at the same time.  Unfortunately, you're arguing with your own theory at this point.  Even most relativity promoters have abandoned the position you take here.--[[User:Aschlafly|Andy Schlafly]] 21:37, 12 December 2009 (EST)&lt;br /&gt;
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::::::It seems that his point is that something can be orthogonal and dependent.  I agree:  The cross-product of two vectors is orthogonal to both and yet obviously dependent on both.  --[[User:EvanW|EvanW]] 21:41, 12 December 2009 (EST)&lt;br /&gt;
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::::::: OK, good point, an orthogonal vector can be a function of other orthogonal vectors.  But that's a bit different from what we're discussing.  Here it's an orthogonal force that is not dependent on anything else, and yet Ng says it encounters relativistic mass due to a different orthogonal force.&lt;br /&gt;
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::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)&lt;br /&gt;
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:::::: First of all, relativity has not &amp;quot;abandoned&amp;quot; the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.&lt;br /&gt;
  &lt;br /&gt;
:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God.  &lt;br /&gt;
   &lt;br /&gt;
:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009&lt;br /&gt;
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:::::OK, I think I see part of the problem you people are having.  The word &amp;quot;independent&amp;quot; has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)&lt;br /&gt;
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.&lt;br /&gt;
  &lt;br /&gt;
:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009&lt;br /&gt;
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::::::: Theories that don't produce anything useful are often a waste of time, or simply false.  I realize that [[liberals]] tend to downplay accountability -- a [[Best New Conservative Words|conservative insight]], but theories should be accountable by what value they yield, particularly when taxpayer dollars are spent (wasted) on the theory.--[[User:Aschlafly|Andy Schlafly]] 16:55, 7 January 2010 (EST)&lt;br /&gt;
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:::::::: I call gps a pretty darned useful invention but it doesn't work if you don't take into account relativistic effects.  I think that not knowing where relativity is used speaks volumes as to how close minded those trying to disprove relativity, which is different from relativism.  (a point completely overlooked by the page) [[User:Gaurdro|Gaurdro]] 12:31, 24 May 2010 (EDT)&lt;br /&gt;
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== Counterexample 4 (limiting behavior) ==&lt;br /&gt;
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For the fourth &amp;quot;counterexample,&amp;quot; the author points out that the momentum &amp;lt;math&amp;gt;p=mv\gamma&amp;lt;/math&amp;gt; does not approach the momentum of light as &amp;lt;math&amp;gt;m\rightarrow 0&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;v\rightarrow c&amp;lt;/math&amp;gt;&lt;br /&gt;
     &lt;br /&gt;
Aside from the mathematical sloppiness of taking two independent variables to a limit at the same time, at unspecified rates, these sorts of &amp;quot;discontinuities&amp;quot; can be found in just about any scientific theory.  In Newtonian mechanics, for example, take the orbit of a planet as the planet's mass goes to 0.  For any nonzero mass the orbit is an ellipse; at m=0 it is suddenly a straight line.  Is this a &amp;quot;counterexample&amp;quot; to Newton's laws?&lt;br /&gt;
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Or in electronics, I=V/R.  The limiting case is no voltage, no resistance, no current; but if someone foolishly took V/R as both V and R go to zero, he would get a nonsensical answer.  Let them both go at the same rate and you get I=1.  Is this a &amp;quot;counterexample&amp;quot; to basic electronics?&lt;br /&gt;
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Or more to the point, momentum in Newtonian mechanics is &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;, and this also fails to give the momentum of a photon at m=0, v=c.  Again, is that a &amp;quot;counterexample&amp;quot; to &amp;lt;math&amp;gt;p=mv&amp;lt;/math&amp;gt;?  Will we see this entry in a corresponding page of &amp;quot;Counterexamples to Newton's laws?&amp;quot;  &lt;br /&gt;
            &lt;br /&gt;
But none of these are counterexamples or &amp;quot;discontinuities&amp;quot;:  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009&lt;br /&gt;
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== Counterexample 9 (Jesus action-at-a-distance) ==&lt;br /&gt;
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The quoted verse doesn't strongly suggest &amp;quot;action-at-a-distance&amp;quot; in the relativistic sense.  Light could travel the distances mentioned in the passage in a fraction of a second, which is well within the precision given in the verse (an hour).  The verse and relativity are not in contradiction here.  This should be removed.&lt;br /&gt;
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:I have an open mind about it.  In the the healing of the centurion's servant, if the Greek is translated as same &amp;quot;moment&amp;quot; then relativity is impossible, but if translated as the same &amp;quot;hour&amp;quot; then there is no conflict with relativity.&lt;br /&gt;
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:But the healing of the centurion's servant is probably not the only place where there is [[action at a distance]] in the [[Bible]].--[[User:Aschlafly|Andy Schlafly]] 14:52, 5 January 2010 (EST)&lt;br /&gt;
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::Any distance on the earth is less than 20,000km. A force acting with the speed of light takes less than 1/15,000 &amp;amp;asymp; 0.0000667 seconds for this distance.&lt;br /&gt;
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::I don't think how eyewitnesses could spot such a short time...&lt;br /&gt;
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::So, there may  probably be no other places where [[action at a distance]] is described in the [[Bible]].&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 16:17, 5 January 2010 (EST)&lt;br /&gt;
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:::You make an interesting point, Frank.  But according to this site, it takes 1/7.4 seconds for light to circle the globe, which is much longer than your figure.[http://wiki.answers.com/Q/How_many_times_does_light_go_around_the_Earth_in_one_second]  More generally and more importantly, there is the issue of how this action in the Bible ''isn't'' light.--[[User:Aschlafly|Andy Schlafly]] 19:30, 5 January 2010 (EST)&lt;br /&gt;
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::::Indeed, an error in my calculation: 20,000,000m / 300,000,000 m/sec = 1/15 seconds. &lt;br /&gt;
::::Fast enough, still.&lt;br /&gt;
::::Whether the action in the Bible ''isn't'' light doesn't matter: it is indistinguishable from an action happening at the speed of light for the witnesses of the time, so it doesn't say anything about the validity of the theory of relativity...&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 19:46, 5 January 2010 (EST)&lt;br /&gt;
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:::::Frank you make an interesting point, and I have an open mind about it.  But I'm not entirely convinced.  When the woman cured herself of bleeding and Jesus felt power leaving him, that sounds more like heat than light.  And for heat to travel virtually instantaneously (or at the speed of light) WOULD violate the theory of relativity.--[[User:Aschlafly|Andy Schlafly]] 20:48, 5 January 2010 (EST)&lt;br /&gt;
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::::::Yes, it would.  And it would also violate classical physics, the laws of thermodynamics etc.&lt;br /&gt;
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::::::But of course a miracle is going to violate the laws of physics.  I don't see how this can be cited to discredit one physical theory over another.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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I have to respectfully disagree with you on that point, Andy - I'm not sure this action could comment on relativity any more than the sun stopping for Joshua could comment on the Copernican model of the solar system.  If God wanted heat/light to travel at some finite speed except in certain instances, how is that different from the sun and moon moving in the sky, except in certain instances? [[User:JacobB|JacobB]] 21:32, 5 January 2010 (EST)&lt;br /&gt;
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: I have an open mind about this.  You make good points, Jacob.  But your analogy is not perfect because:&lt;br /&gt;
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*the Joshua account might be understood as the ''perception'' of the army that they sun did not set until they completed their job, but the healing in the [[New Testament]] cannot be explained as mere perception&lt;br /&gt;
*if the Joshua account is taken absolutely literally, Newtonian mechanics does not say it is impossible, while relativity does say [[action-at-a-distance]] is impossible&lt;br /&gt;
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I look forward to our translation work on the Joshua passage (and New Testament passages) to see if that brings forth insights.--[[User:Aschlafly|Andy Schlafly]] 22:30, 5 January 2010 (EST)&lt;br /&gt;
:Your second point is a good one, and I suppose my example wasn't very good.  But on a different note, what makes you say that the Joshua account might be understood as only a perception of the army?  I think I'm going to go translate that chapeter, I'll be interested to see what Hebrew words are used for that bit. [[User:JacobB|JacobB]] 22:49, 5 January 2010 (EST)&lt;br /&gt;
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::Shall we look at it next?  Joshua 10:11-14, I think.--[[User:Aschlafly|Andy Schlafly]] 23:18, 5 January 2010 (EST)&lt;br /&gt;
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IMO, the discussion is a little bit bizarre: Following [[David Hume]]'s definition of a [[miracle]] as a &amp;quot;a violation of the laws of nature&amp;quot;, for evaluating the ''laws of natures'', miracles can't be taken into account.&lt;br /&gt;
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As I said earlier: we shouldn't try to restrict God with the laws of our logic - or even physics.&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 07:27, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, perhaps what you mean is that you don't want the logic of the Bible to be used to evaluate claims by scientists.  If so, I completely disagree.  And so would [[Isaac Newton]] and most great scientists.&lt;br /&gt;
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:As our [[Conservative Bible Translation]] project is revealing, Jesus said his works were not miracles, but signs.  So any definition of miracle by Hume (who, by the way, leaned toward atheistic rather than Christianity) is not terribly helpful.--[[User:Aschlafly|Andy Schlafly]] 08:00, 6 January 2010 (EST)&lt;br /&gt;
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::So, what's the definition of a ''sign'', then? [[User:FrankC|FrankC aka ComedyFan]] 08:06, 6 January 2010 (EST)&lt;br /&gt;
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:::The same as its name suggests:  a disclosure of reality, rather than a violation of it.--[[User:Aschlafly|Andy Schlafly]] 08:35, 6 January 2010 (EST)&lt;br /&gt;
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::::*I took Hume's definition as I found it on conservapedia's page on [[miracle]]s.&lt;br /&gt;
::::*The page on [[sign]]s doesn't describe Jesu works - perhaps you can fix this&lt;br /&gt;
::::*If you don't like Hume, what's about [[Thomas Aquinas]]:&lt;br /&gt;
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:::::''Now, there are various degrees and orders of these miracles. Indeed, the highest rank among miracles is held by those events in which something is done by God which nature never could do. For example, that two bodies should be coincident; that the sun reverse its course, or stand still; that the sea open up and offer a way through which people may pass. And even among these an order may be observed. For the greater the things that God does are, and the more they are removed from the capacity of nature, the greater the miracle is. Thus, it is more miraculous for the sun to reverse its course than for the sea to be divided.&lt;br /&gt;
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:::::''Then, the second degree among miracles is held by those events in which God does something which nature can do, but not in this order. It is a work of nature for an animal to live, to see, and to walk; but for it to live after death, to see after becoming blind, to walk after paralysis of the limbs, this nature cannot do—but God at times does such works miraculously. Even among this degree of miracles a gradation is evident, according as what is done is more removed from the capacity of nature.&lt;br /&gt;
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:::::''Now, the third degree of miracles occurs when God does what is usually done by the working of nature, but without the operation of the principles of nature. For example, a person may be cured by divine power from a fever which could be cured naturally, and it may rain independently of the working of the principles of nature.&lt;br /&gt;
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::::*Acts 2:43 ''Everyone was filled with awe, and many wonders and miraculous signs were done by the apostles'' (KJB) So, we have ''miraculous signs'' and ''wonders''&lt;br /&gt;
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::::*John 2:11 ''This was the first of the miracles Jesus did in Cana of Galilee, and by doing showed his glory, and so his disciples believed in him. '' (CBP) ''Changing water into wine'' is something nature never could do: it's an outright miracle, miraculous sign, whatever...&lt;br /&gt;
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::::[[User:FrankC|FrankC aka ComedyFan]] 09:00, 6 January 2010 (EST)&lt;br /&gt;
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:::::That's great recitation, Frank, but how about simply applying logic yourself?  You're a bright guy, why simply hunt and repeat quotes from others?  On this site we encourage ''thinking'' in a logical way.--[[User:Aschlafly|Andy Schlafly]] 09:21, 6 January 2010 (EST)&lt;br /&gt;
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::::::I'm trying to use the fact that I'm standing on the shoulder of giants... [[User:FrankC|FrankC aka ComedyFan]] 09:23, 6 January 2010 (EST)&lt;br /&gt;
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:::::::How about using &amp;quot;the fact&amp;quot; of simple logic and the power of your ''own'' mind?--[[User:Aschlafly|Andy Schlafly]] 09:27, 6 January 2010 (EST)&lt;br /&gt;
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::::::::To make it as clear as possible in my own words: &lt;br /&gt;
::::::::*I won't restrict God by laws which men made or observed. Can I understand God's ways? Can I expect God to act the way I think to be logical? That would be [[hubris]].&lt;br /&gt;
::::::::*Testing scientific hypotheses using God's miracles or signs seems to be odd! &lt;br /&gt;
::::::::But which part of Thomas Aquinas's definition of miraculous events didn't you like? Granted, he had a slightly other view of the ''capacity of nature'' than we have today, but his line of reasoning was as valid in the 15th century as it is today! I hoped that his definition would be more ''helpful'' than that of David Hume.&lt;br /&gt;
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::::::::[[User:FrankC|FrankC aka ComedyFan]] 10:41, 6 January 2010 (EST)&lt;br /&gt;
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A miraculous healing seems to violate the [[Second Law of Thermodynamics]] - whether it happens on a distance or not. Does this mean that [[John 4:46-54]] is a counterexample to the laws of thermodynamics, too? &lt;br /&gt;
[[User:PhilG|PhilG]] 09:58, 2 February 2010 (EST)&lt;br /&gt;
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: How so?  Do you think eating an apple to feel better, or taking an aspirin to alleviate a headache, also violates the Second Law of Thermodynamics?--[[User:Aschlafly|Andy Schlafly]] 11:02, 2 February 2010 (EST)&lt;br /&gt;
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== lack of a single useful device ==&lt;br /&gt;
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At conservapedia's article on the [[Global Positioning System]], one can read:&lt;br /&gt;
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''These receivers rely on precisely timing signals sent from GPS satellites, with corrections for atmospheric attenuation and relativistic effects.''&lt;br /&gt;
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GPS seems to be a useful device!&lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 10:53, 6 January 2010 (EST)&lt;br /&gt;
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:Great catch of a misleading statement, Frank!  I've corrected it.&lt;br /&gt;
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:Our [[theory of relativity]] entry explains how it did not aid the development of [[GPS]].  The repeated attempt by relativists to falsely claim credit for [[GPS]] ''reinforces'' the lack of any legitimate contributions.--[[User:Aschlafly|Andy Schlafly]] 11:29, 6 January 2010 (EST)&lt;br /&gt;
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::Well, you are consistent! Just another question: What's about [[particle accelerator]]s? Generally, the theory of relativity is used to explain why it takes more energy to accelerate an electron from 200,000,000 m/sec to 200,002,000 m/sec than from 2,000 m/sec to 4,000 m/sec.&lt;br /&gt;
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::Have you thought about an explanation for this phenomenon? &lt;br /&gt;
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::Accelerators have applications beyond basic research!&lt;br /&gt;
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::[[User:FrankC|FrankC aka ComedyFan]] 12:02, 6 January 2010 (EST)&lt;br /&gt;
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:::Frank, I have an open mind about this, but I'm not aware of a single benefit from what you describe, nor do you identify one.  Do you have an open mind about this?--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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::::*Synchrotron radiation is [http://www.physik.uni-kiel.de/kfs/Anwendung/medicine.php used in medicine]&lt;br /&gt;
::::*So, may I ask again:  what your explanation for the phenomenon? I suppose you are aware of the phenomenon I described above?&lt;br /&gt;
::::[[User:FrankC|FrankC aka ComedyFan]] 15:47, 6 January 2010 (EST)&lt;br /&gt;
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:::::Frank, inventors and doctors and engineers don't typically even bother learning relativity.  Should I repeat that?  Complain to engineering departments and medical schools if you think that should change.  Nothing useful has even been designed or built using relativity.  If you want to look and look and look for a counterexample then you'll be wasting your time.  I'm not going to waste mine.  This is my final reply on this topic for now.  Do something logical, such as editing the Bible, and after benefiting from that experience we can revisit this issue in a month or so.--[[User:Aschlafly|Andy Schlafly]] 15:52, 6 January 2010 (EST)&lt;br /&gt;
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::::::Why does it matter whether the users of the invention learn relativity?  Most users of microwaves never learn Maxwell's equations either.  That doesn't mean that the laws are irrelevant to the gadget's operation.&lt;br /&gt;
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::::::Likewise, the engineers who correct the clocks of GPS satellites may not know or care that relativistic effects are behind the clock skew.  But that dodges the point that relativistic effects are real, observable, and must be corrected for in several useful inventions.--[[User:NgSmith|NgSmith]]&lt;br /&gt;
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:::::::Here's a good source: [http://tycho.usno.navy.mil/ptti/1996/Vol%2028_16.pdf | US Navy].  As for engineers not bothering to learn relativity, I think that's a mite off the mark.  I'm an engineer and I had to take a class dealing with the basics of SR, and I'm just an electrical engineer.  Aerospace engineers certainly deal with relativity a great deal, as do nuclear engineers. [[User:DanieleGiusto|DanieleGiusto]] 00:26, 7 April 2010 (EDT)&lt;br /&gt;
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== GPS revisited ==&lt;br /&gt;
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The same Tom von Flandern who is quoted in the article on the [[theory of relativity]] saying that the GPS programmers &amp;quot;have basically blown off Einstein&amp;quot;, wrote in an article in 1998:&lt;br /&gt;
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''So we can state that the clock rate effect predicted by GR is confirmed to within no worse than ±200 / 45,900 or about 0.7%, and that predicted by SR is confirmed to within ±200 / 7,200 or about 3%. This is a very conservative estimate. In an actual study, most of that maximum 200 ns/day variance would almost certainly be accounted for by differences between planned and achieved orbits, and the predictions of relativity would be confirmed with much better precision.''&lt;br /&gt;
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As for how the satellites take into account the relativistic effects, here is his explanation of the so-called ''factory offset'' of the atomic clocks for the satellites:&lt;br /&gt;
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''GPS atomic clocks in orbit would run at rates quite different from ground clocks if allowed to do so, and this would complicate usage of the system. So the counter of hyperfine cesium transitions (or the corresponding phenomenon in the case of rubidium atomic clocks) is reset on the ground before launch so that, once in orbit, the clocks will tick off whole seconds at the same average rate as ground clocks. GPS clocks are therefore seen to run slow compared to ground clocks before launch, but run at the same rate as ground clocks after launch when at the correct orbital altitude.''&lt;br /&gt;
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Seems to me that relativistic effects have to be taken into account. &lt;br /&gt;
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[[User:FrankC|FrankC aka ComedyFan]] 13:13, 6 January 2010 (EST)&lt;br /&gt;
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:Frank, your intuition (&amp;quot;seems to me&amp;quot;) is wrong here, and the entry explains it clearly.  GPS is a work of engineering and any timing discrepancies between the satellite and ground are obviously better handled directly by synchronization rather than asking a physicist what he thinks of relativity.  Engineers don't even bother taking general relativity courses, let alone try to build a satellite system using them.--[[User:Aschlafly|Andy Schlafly]] 14:44, 6 January 2010 (EST)&lt;br /&gt;
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== Several Clarification/Corrections ==&lt;br /&gt;
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I am new to Conservapedia, so I don't fully understand exactly how this site is structured; in particular who has the ability to edit protected pages.  This page is apparently protected, but in need of dire work even on the formatting/punctuation/style side of things.  I hope someone with the required access to protected pages can incorporate some of these changes.  In any event, here are some things that need to be clarified or corrected:&lt;br /&gt;
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1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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2. #7 is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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3. #8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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4. #10 is not a counterexample because gravitons are not predicted by general relativity.  They are expected to exist and be predicted by a successful ''quantum'' theory of gravity, but general relativity is not such a theory.&lt;br /&gt;
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5. #11 is not a counterexample to the theory at all.  It may be an argument for why the theory should not be studied, but that doesn't mean it is ''false'', and thus is not a counterexample.&lt;br /&gt;
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6. #13 is presumably a reference to the horizon problem of cosmology.  This should be stated, and, as for the flatness problem, the theory of cosmological inflation should be mentioned.  (I realize inflation has not been empirically verified, but since the majority of cosmologists believe it is the correct explanation, it deserves a mention in an encyclopedia article.)&lt;br /&gt;
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7. #14 is again the problem of the incompatibility of general relativity and quantum field theory (namely that QFT is not background-invariant).  This is not a problem with general relativity, other than in the sense that it is only an approximation (like, say, Maxwellian electrodynamics are just an approximation to quantum electrodynamics).&lt;br /&gt;
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8. #15, aside from the obvious grammatical error (''violated'' instead of the correct ''violate''), is again not a counterexample to general relativity.  General relativity predicts wormholes ''only'' on the assumption that so-called &amp;quot;exotic matter&amp;quot; exists.  This is matter that has net negative mass/energy, and so is predicted not to exist for precisely the reasons listed here (time travel and the like).  But this is not a counterexample to general relativity itself, merely the observation that a mathematically possible solution does not have a physical manifestation.&lt;br /&gt;
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9. #16 is again a quantum gravity issue.  It is wrong to call black holes &amp;quot;highly ordered (and thus low entropy)&amp;quot;, though.  The fact is that science does not yet know how to count black hole microstates, so we don't know whether they are highly ordered or extremely disordered.  But the best explanation seems to be that general relativity and the Second Law together suggest that black holes should have extremely ''high'' entropy, not low entropy.  But again, this is not a counterexample to general relativity per se, since it makes no predictions about what black hole entropy should be.&lt;br /&gt;
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10. #18 appears to be a restatement of #11, and is thus both redundant, and not a counterexample for the reasons listed discussion #11.&lt;br /&gt;
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I apologize for the length of this list of edits, but something really must be done to improve the quality of this article.  I hope that someone with the appropriate access sees fit to make the necessary changes soon.&lt;br /&gt;
[[User:Yill|Yill]] 17:12, 30 March 2010 (EDT)&lt;br /&gt;
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:REPLY BELOW:&lt;br /&gt;
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::1.  It is unclear what #6 is referring to by &amp;quot;overall space&amp;quot;.  Is this a reference to the flatness problem in cosmology?  If so, that should be made explicit, and the most commonly accepted solution (inflation) should be mentioned for completeness.  If not, the curvature of space locally is clearly demonstrated by the observed phenomenon of gravitational lensing.&lt;br /&gt;
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::: I'll clarify the obvious.  It's still a counterexample.  Science is not done by consensus, and inflation does not explain the overall flatness of space if relativity were true.&lt;br /&gt;
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::::You needn't be so condescending.  I wasn't saying that it isn't a problem with general relativity, I was just saying that since this is an encyclopedia, relevant information should be included.  Since a proposed solution exists, it should be mentioned, and perhaps debunked if it is flawed.  So you could mention inflation, and then say why it fails to solve the flatness problem. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::The theory of inflation does nothing &amp;quot;to solve the flatness problem&amp;quot; with respect its role as a counterexample to relativity.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Could you clarify this point?  Perhaps you could state exactly what you believe the flatness problem is and how it is a counterexample to GR, just to be sure we aren't talking past each other, as I fear we may have been so far. [[User:Yill|Yill]] 16:55, 4 April 2010 (EDT)&lt;br /&gt;
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::2.  7: is just a feature of the incompatibility between general relativity and quantum field theory.  In this sense, general relativity is of course wrong (just as Newtonian mechanics is, for example), because it doesn't apply accurately below distance scales where quantum effects emerge.&lt;br /&gt;
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:::So at what distances do you declare general relativity to be false?  Is there a discontinuity at that distance?  Such an approach is absurd.&lt;br /&gt;
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::::I mean, technically it is false at ''all'' length scales, just like any classical (non-quantum) theory (Newtonian mechanics, Maxwellian electromagnetism, classical statistical mechanics, etc.).  But there exists a range of length scales at which it is extremely accurate, and those are the only ones to which it makes claims having any epistemological value.  There is no discontinuity, it just gets progressively worse as quantum effects become more and more apparent, which occurs at smaller and smaller length scales.  Quantum effects definitely need to be taken into account around the level of a nanometer or so in most systems of interest, so I would say this is about the regime where GR needs to stop being used.  But of course, it depends on the system in question. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Not &amp;quot;technically it is false,&amp;quot; but &amp;quot;it is false.&amp;quot;  So teach it that way.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::See KrisJ's discussion below. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::3. 8 is not a problem because quantum nonlocality doesn't allow for information transfer.  Hence special relativity is not violated.&lt;br /&gt;
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:::Your statement is a non sequitur, and may not be true.  Special relativity does deny non-locality.&lt;br /&gt;
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::::It's not a non sequitur; the problem as I thought it was stated on the page is that special relativity does not allow information transfer faster than the speed of light.  Since quantum entanglement cannot actually transfer information, this does not violate that provision of special relativity. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Special relativity does not define &amp;quot;information&amp;quot; nor was it developed in that context.--[[User:Aschlafly|Andy Schlafly]] 03:02, 31 March 2010 (EDT)&lt;br /&gt;
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::::::It is true that SR does not define information, but it does define causality (only events within each other's lightcones can be causally connected).  Physical transfer of information (as defined by Shannon, and encoded in physical systems in Minkowski spacetime) between points in spacetime can only occur if those points are causally connected.  (This SR fact is what the horizon problem, which is cited as another GR counterexample, relies on.) [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:::Will respond to your other points later.--[[User:Aschlafly|Andy Schlafly]] 18:11, 30 March 2010 (EDT)&lt;br /&gt;
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::::I appreciate your attention to my concerns, and I hope I have adequately outlined them.  Also, I hope I would not be asking too much to request formatting consistency (like adding periods at the ends of nos. 7, 8, and 9).  It would make it look more professional, like other articles I've seen on Conservapedia. [[User:Yill|Yill]] 21:19, 30 March 2010 (EDT)&lt;br /&gt;
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:::::Yill, your grand total of contributions to this site has been 3 edits to this page, all easily refutable.  Frankly, I don't think greater efforts at &amp;quot;formatting consistency&amp;quot; are justified.--[[User:Aschlafly|Andy Schlafly]] 03:01, 31 March 2010 (EDT)&lt;br /&gt;
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::::::Your not going to be able to attract many users if you disparage newcomers with respect to how few edits they've made.  I would like to be a positive contributor to this site, but I have to start somewhere.  I would appreciate encouragement and constructive criticism, not condescension and personal attacks. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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::::::: Yill, good grammar requires &amp;quot;you're&amp;quot;, not &amp;quot;your&amp;quot;, in your statement above.  All your edits have been 100% talk, in violation of our [[90/10 rule]], and honestly I see no insights in your talk.  I suggest you try contributing substantively to [[Epistle to the Hebrews (Translated)]]; it is on a much higher educational level and you'll benefit enormously from it.--[[User:Aschlafly|Andy Schlafly]] 00:15, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::: You're right, I had a typo there; I apologize for the error.  And I am well aware of the 90/10 rule, but seeing as the page I'm working on is protected, I'm not actually able to make any edits.  If it were unblocked or I were given the ability to edit it, I would be more than happy to stop posting on this talk page and instead edit the article itself.  And frankly I don't particularly see how it's relevant whether you personally happen to see any insights in my talk; my understanding is that Conservapedia is shaped and edited by its users, with appropriate oversight from administrators to ensure accuracy and prevent the chaos of Wikipedia.  If need be, I'll appeal to those administrators to get the article fixed, since none seem to have come forward to help.  I would love it if you would be willing to work with me to improve this article, but as it stands you seem to have little interest in doing so, having made no further contributions to the substance of the discussion.  If you change your mind, I would be happy to work with you on this endeavor.&lt;br /&gt;
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::::::::As for your suggested article for me to work on, I don't really understand what you mean by it being on a &amp;quot;much higher educational level.&amp;quot;  However, as I have no expertise in Biblical Greek, I don't think I'd be able to make any meaningful contributions to the translation.  I'll let the experts in that subject deal with that article. [[User:Yill|Yill]] 16:37, 5 April 2010 (EDT)&lt;br /&gt;
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:::::::::Yill, I recommended the Bible because, as Isaac Newton pointed out, working on translating the Bible increases the quality of one's work in other areas, including science.  Sure, I could drop everything else I'm doing and spend all day correcting you about this entry, but if you just picked up a Bible and improved your own work, then I could learn from you instead.  I'll correct your misunderstandings below but doubt I will spend much more time responding to you if you're not willing to put in open-minded effort on your own.--[[User:Aschlafly|Andy Schlafly]] 23:58, 6 April 2010 (EDT)&lt;br /&gt;
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Yill, you raise excellent points, most of which have not been raised before.  We should sharpen those points, here on this page, and then address them on the actual article page.  This will take a fair amount of discussion.  I could start by bringing up the discussion of point 7, inaccuracy of relativity at the quantum mechanical scale.  One question that was raised was &amp;quot;Is there a discontinuity at that [microscopic boundary] distance? Such an approach is absurd.&amp;quot;. No. The way quantum mechanics and classical theories interact at the (microscopic) scales where this happens is well known. It is, of course, generally known as the Bohr correspondence principle, described in any textbook on quantum mechanics, and known in more detail as Ehrenfest's theorem, described in more advanced textbooks. (Very briefly, the quantum mechanical realm eases into the classical realm according to the Ehrenfest theorem.) We should make some citations to those, and put in a careful explanation that, under QM, '''all''' classical theories are incorrect, and QM is the correct theory for everything, from atoms to planets. Classical theories are just extremely good approximations outside of the quantum-mechanical realm. And, of course, we do not know how that quantum-mechanical realm operated immediately after the big bang (that's what inflation theory is about), but that doesn't affect what we ''do'' know about general relativity in the macroscopic realm.&lt;br /&gt;
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The item about point 10 is excellent. Gravitons arose ''after GR'', from attempts to unify the theories. They have nothing to do with the macroscopic aspects of GR, which is what GR is actually all about.&lt;br /&gt;
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[[User:KrisJ|KrisJ]] 10:04, 31 March 2010 (EDT)&lt;br /&gt;
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: Teach that relativity is incorrect, if you concede the point.  There are relativists who claim their theory is the most precisely verified theory of all.&lt;br /&gt;
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::Those relativists claim that with respect to the macroscopic realm, as KrisJ referred to above.  We are discussing how it breaks down at the microscopic level, when QM starts to play a role. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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: Gravitons are based on GR, and they are non-existent.  Enough said.--[[User:Aschlafly|Andy Schlafly]] 11:37, 31 March 2010 (EDT)&lt;br /&gt;
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::No, for gravitons to be a counterexample to GR, they must be predicted by it.  But they are not, just as photons are not predicted by Maxwellian electrodynamics.  They are the &amp;quot;quantum&amp;quot; of the gravitational field, as photons are for the electromagnetic field, and are quantum ''by definition''.  GR is ''not'' a quantum theory; it manifestly does not predict them. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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:KrisJ, I appreciate your assistance with this project.  I absolutely agree with your suggestions about 7 and 10, and hopefully we can find an editor with the ability to edit protected pages to help us implement them.  If you know of any that could help us, you should ask if they would be willing. [[User:Yill|Yill]] 16:49, 4 April 2010 (EDT)&lt;br /&gt;
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I guess I was wrong about not being able to edit this article.  I'm going to delete #10, as per above, and make some formatting changes. I may also make some other clarifying edits. [[User:Yill|Yill]] 17:45, 5 April 2010 (EDT)&lt;br /&gt;
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I also deleted the references to relativity being useful, since those have nothing to do with its epistemological validity. [[User:Yill|Yill]] 17:52, 5 April 2010 (EDT)&lt;br /&gt;
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== Curvature of Space ==&lt;br /&gt;
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Re [http://www.conservapedia.com/index.php?title=Counterexamples_to_Relativity&amp;amp;curid=97238&amp;amp;diff=766130&amp;amp;oldid=742826 this] edit: I don't disagree, but the example is a bad one. Based on local observations, one would assume that the Earth itself is flat, but it clearly isn't. My own point of view is that since the Universe can never be proved to be one thing or another, it is part of God's own ineffable being - it is almost folly to inquire further. [[User:RobertE|RobertE]] 18:24, 30 March 2010 (EDT)&lt;br /&gt;
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: No, one would not assume the Earth is flat based on local observations, as a ship can be observed to &amp;quot;rise&amp;quot; over the horizon.  I don't agree with the &amp;quot;nature is God&amp;quot; view either.--[[User:Aschlafly|Andy Schlafly]] 11:34, 31 March 2010 (EDT)&lt;br /&gt;
::Funny coincidence(?) that a defender of relativity invokes pantheism, since it was Einstein's (and Spinoza's) &amp;quot;god.&amp;quot; [[User:DouglasA|DouglasA]] 13:50, 31 March 2010 (EDT)&lt;br /&gt;
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:I actually think the edit has merit, as long as the word &amp;quot;initial&amp;quot; is inserted before curvature, since the problem is that any initial curvature should be vastly amplified over time as the universe undergoes its usual expansion.  And it is in fact the global curvature that is the issue here; ''any'' manifold we use to model the universe is by definition locally flat (since this is a fundamental property of manifolds).  The ship and horizon observation is not a local observation, since it is fundamentally predicated on the global curvature of the Earth.  &amp;quot;Local&amp;quot; means that it can be done at arbitrarily small distance scales, which that observation cannot. [[User:Yill|Yill]] 17:06, 4 April 2010 (EDT)&lt;br /&gt;
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== Reversion explained ==&lt;br /&gt;
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Reversion was necessary for two reasons:  first, to restore material that was improperly censored, and second, to revert an imprecise label put on one of the counterexamples.--[[User:Aschlafly|Andy Schlafly]] 17:53, 5 April 2010 (EDT)&lt;br /&gt;
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:I don't want to get into an edit war here, so I won't undo your reversion for now.  But I fail to understand your reasoning, so perhaps you could clarify a bit instead of making the one sentence assertions that have made up your discourse so far.  There is no censorship here, merely deletion of objectively incorrect statements.  Perhaps you could actually bother to respond to my points above, rather than just reverting my edits without justification.  In the meantime, I will replace the periods I added at the end of several of the counterexamples for formatting consistency; hopefully you don't consider ''that'' to be &amp;quot;censorship&amp;quot; as well. [[User:Yill|Yill]] 20:48, 5 April 2010 (EDT)&lt;br /&gt;
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::You deleted valid information.  Gravitons are predicted by an attempt to reconcile GR with quantum mechanics.  Without GR gravitons would not be expected; with GR people do expect to find them.  The wholesale deletion of reference to this is unwarranted, and simply conceals a real flaw in GR.&lt;br /&gt;
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:::First of all, I want to thank you for actually explaining your claims.  Now we can actually have the real discussion KrisJ suggested above.  You are perfectly correct in stating the gravitons are predicted by an attempt to reconcile GR with QM; that is precisely the point I was trying to make.  But by your logic we could rightly conclude that the flaw is with QM rather than GR--without QM gravitons would not be expected either.  On what basis do you claim that the non-observance of gravitons is a counterexample to GR rather than a counterexample to QM?  (Also, I should note that just because gravitons have not yet been observed, that doesn't mean they won't be.  For example, the non-observation of the Z boson did not constitute a counterexample to the electroweak theory between 1979 and 1983.) [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
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::::Gravitons were historically proposed in trying to reconcile GR with QM.  Other theories of gravity may not require gravitons at all.  Does string theory?  Gravitons are thereby attributable to GR, not to the more developed and better verified QM.  ''Simply look at the name &amp;quot;gravitons&amp;quot; itself''.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::Actually, any quantum theory of gravity, whether it reduces to GR at large scales or not, requires gravitons ''by definition''.  Do you even understand what a graviton ''is''?  ''The quantum of a gravitational field.''  Just as any quantum theory of electromagnetism ''must'' include the photon in its particle spectrum, any quantum theory of gravity ''must'' include the graviton in its particle spectrum.  And yes, string theory requires them; the entire reason string theory started being developed as a theory of everything is that gravitons (i.e. massless spin-2 bosons) naturally appear as part of its particle spectrum! [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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:::::: Yill, do you know what [[action-at-a-distance]] is?  It doesn't require the fictional gravitons.  Newtonian mechanics doesn't require such imaginary particles.--[[User:Aschlafly|Andy Schlafly]] 00:00, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Do you know what ''quantum'' means?  Please acknowledge that you do, and that you know Newtonian mechanics is not a quantum theory, and therefore that ''your response does not address my concern.'' [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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::The &amp;quot;flatness problem&amp;quot; refers primarily to curvature expected from inflation, not GR itself.  It is misleading to call the counterexample the &amp;quot;flatness problem,&amp;quot; and then pretend it has a solution.  The counterexample described is not resolved.--[[User:Aschlafly|Andy Schlafly]] 21:12, 5 April 2010 (EDT)&lt;br /&gt;
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:::The flatness problem refers to the fact that, in an ''inflation-free'' universe, the FRW metric with matter and radiation equation-of-state parameters predicts that any initial nonzero curvature will increase vastly in magnitude, leaving a highly curved universe at present.  Inflation is proposed as a ''solution'' to the flatness problem; it is not the cause of it.  The process of inflation drastically flattens any initial curvature in the universe so dramatically that even after the curvature increase undergone under normal evolution, the universe still appears nearly perfectly flat. [[User:Yill|Yill]] 22:55, 5 April 2010 (EDT)&lt;br /&gt;
:::Wait, I just realized that I think we may be talking past one another here.  I interpreted the counterexample listed on the page to be the flatness problem, but based on your response I guess that it is not.  (Obviously the flatness problem is not a counterexample to GR itself, just to the use of the FRW metric for modeling the universe.)  This counterexample seems to be more fundamental, namely the claim that space is nowhere curved, as GR says it must be by matter and energy.  Is that correct? [[User:Yill|Yill]] 23:25, 5 April 2010 (EDT)&lt;br /&gt;
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::::A ''type'' of inflation is proposed to try to explain the unexpected flatness.  But there's no way around the basic problem:  GR says that space is curved by matter, and an overall flatness is impossible under such a model.  Yet an overall flatness is what is observed.--[[User:Aschlafly|Andy Schlafly]] 00:23, 6 April 2010 (EDT)&lt;br /&gt;
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:::::I still don't understand what you're saying.  The ''overall'' visible universe ''is'' flat, at scales large enough that it can accurately be modeled as homogeneous and isotropic.  (These scales are beyond the sizes of galactic clusters.)  But on much smaller scales, where these assumptions obviously break down, matter does indeed curve spacetime; the phenomenon of gravitational lensing is precisely such an example.  If you are at all confused by these different notions, I would recommend taking a look at a modern textbook on the subject; Barbara Ryden's ''Introduction to Cosmology'' is a good place to start. [[User:Yill|Yill]] 14:57, 6 April 2010 (EDT)&lt;br /&gt;
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::::::Dark matter supposedly permeates the universe, and there's no way it would be flat if GR were true.--[[User:Aschlafly|Andy Schlafly]] 00:48, 7 April 2010 (EDT)&lt;br /&gt;
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:::::::Okay, now ''that'' is a total non sequitur.  Again, instead of making blanket assertions, perhaps you should learn why, given that they believe dark matter permeates the universe ''and'' that it is flat on large scales, cosmologists still think GR works.  Let me enlighten you.  If the universe were evenly filled with a uniformly dense substance, the curvature would be flat.  Yet there were would be matter in it!  And that's it.  On large enough scales, that's how the universe appears.  Hence there is no contradiction. [[User:Yill|Yill]] 00:19, 9 April 2010 (EDT)&lt;br /&gt;
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== Proposed page move ==&lt;br /&gt;
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Can someone rename the article so the R is lowercase in the title? Thanks, [[User:GregoryZ|GregoryZ]] 22:21, 29 July 2010 (EDT)&lt;br /&gt;
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:Why?  The term refers to a specific theory, and the many counterexamples to it.--[[User:Aschlafly|Andy Schlafly]] 22:31, 29 July 2010 (EDT)&lt;br /&gt;
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::My simple rationale is &amp;quot;relativity&amp;quot; is not a proper noun. [http://en.wikipedia.org/wiki/Theory_of_relativity Wikipedia uses the lowecase] and so does [http://www.merriam-webster.com/dictionary/relativity Wester's], so why not here? --[[User:GregoryZ|GregoryZ]] 22:36, 29 July 2010 (EDT)&lt;br /&gt;
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:::It's not a traditional proper noun, you're right, but it does satisfy all the conditions underlying why proper nouns are capitalized.  It is a unique term-of-art, having a specific meaning other than the general meaning of the word.  As used in physics, &amp;quot;Relativity&amp;quot; is different from the generic &amp;quot;relativity&amp;quot;.--[[User:Aschlafly|Andy Schlafly]] 23:01, 29 July 2010 (EDT)&lt;br /&gt;
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::::However, it is my belief, &amp;quot;relativity&amp;quot; in this case should not be treated differently. Look at the Wikipedia article, it uses &amp;quot;relativity&amp;quot; in that sense. Also, the [[theory of relativity|CP article on the subject]] uses the lowercase as well, so I still see no point in capitalizing it here. --[[User:GregoryZ|GregoryZ]] 23:07, 29 July 2010 (EDT)&lt;br /&gt;
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::::: The word &amp;quot;relativity&amp;quot; dates from the early 1800s.  That's not what is being discussed here.  If preceded with &amp;quot;theory of&amp;quot; then there is no need to capitalize; if stand-alone, however, it does add clarification to capitalize as is done for other specific concepts that differ from the generic names.--[[User:Aschlafly|Andy Schlafly]] 23:52, 29 July 2010 (EDT)&lt;br /&gt;
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== Curl of the gravitaional field ==&lt;br /&gt;
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Sorry to get over-technical, but the fundamental law of &amp;quot;fictitious forces&amp;quot; (including gravity) is that the force field (divided by the mass of the test object) is&lt;br /&gt;
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&amp;lt;math&amp;gt;G^i = - \Gamma^i_{00}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Its curl is&lt;br /&gt;
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&amp;lt;math&amp;gt;(\nabla \times G)^i = \mathcal{E}^{ijk} g_{km} G^m_{;j}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the semicolon indicates the covariant gradient.&lt;br /&gt;
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When you work this out, it involves derivatives of the &amp;lt;math&amp;gt;\Gamma\,&amp;lt;/math&amp;gt; quantities.  In general relativity, the results are zero by symmetries of Riemann's tensor.&lt;br /&gt;
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[[User:Simeon|Simeon]] 21:33, 30 July 2010 (EDT)&lt;br /&gt;
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: Perhaps so, but the &amp;quot;twin paradox&amp;quot; in Relativity states that the age of each twin is dependent on his path of travel.  For a conservative field, all physical parameters are path independent.--[[User:Aschlafly|Andy Schlafly]] 23:07, 30 July 2010 (EDT)&lt;br /&gt;
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:: Simeon, your mathematical work is rigorous and correct. However, the twin paradox example is interesting to study here. I am aware that the twin paradox is solved by the non-inertial turn-around of the ship when it is going back home. However, in this solution, it is still noted that there is an age difference between the twins. [http://mentock.home.mindspring.com/twins.htm Wikipedia affirms this] and so do [http://mentock.home.mindspring.com/twins.htm other sites]. Such an age difference in twins shows that there is some sort of path dependence. I understand that traveling at near-c speeds in space is not the same thing as moving from point A to B in a gravitational field, but the concept does seem to be a bit similar. Could you maybe explain this for us a bit? Thanks. [[User:PhyllisS|PhyllisS]] 00:52, 31 July 2010 (EDT)&lt;br /&gt;
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OK, I think I understand.  I assumed that the &amp;quot;conservative field&amp;quot; / &amp;quot;curl is zero&amp;quot; stuff referred to the gravitational force field.  If it refers to the passage of time, that's different.  It isn't true that &amp;quot;all physical parameters are path independent&amp;quot;.  An extremely important one that isn't path independent is the arc length of the path or arc.  You can draw a short straight line from A to B, or a long loopy line that starts at A, wanders around, and eventually gets to B.  Why is this relevant to the twin paradox?  Because, in relativity, an observer's own elapsed time (&amp;quot;local time&amp;quot;) is really just the arc length of his &amp;quot;world line&amp;quot; in Minkowski space.  Minkowski was an extremely smart guy, by the way.  The twin that stays home takes a direct route from point A (their birth) to point B (the moment they compare ages and see that one has gray hair and wrinkled skin.)  The other twin takes a very roundabout route, getting in a rocket and going to Alpha Centauri and back.  Their path lengths are their local times, which are different.  (Why is the length of the roundabout path actually shorter, so that that twin ages less?  Because, in Minkowski space, using the &amp;quot;timelike convention&amp;quot; that all the best people use :-), motion in space subtracts from the elapsed time.  That's just the way it works.)&lt;br /&gt;
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Now I assume that there is no dispute about the facts of relativistic time dilation.  In addition to being predicted exactly by the Lorentz transform, it has been observed in practice in cosmic ray muon decays, as well as countless observations in particle accelerators.  The &amp;quot;twin paradox&amp;quot; is just an extreme consequence of this.  It has of course never been observed in that form, just as we don't know whether Schrodinger's cat is alive.&lt;br /&gt;
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The &amp;quot;twin paradox&amp;quot; is a consequence of special relativity, not general, and hence does not relate to gravity.  I hate to be the umpteenth person to tell you that general relativity is too hard to explain, but it's kind of true.  I barely understand the most rudimentary basics.  (When Eddington made his comment about only 3 people in the world who understand gen. rel., I wasn't the third!  :-)  But I can say that you don't need to worry about general relativity to understand the &amp;quot;twin paradox&amp;quot;.  You can finesse the Minkowski-space curvature of the path during the turnaround at Alpha Centauri, and just say that the twin went there and came back.  So was something physically different, that the twins could observe?  You bet.  The &amp;quot;younger&amp;quot; twin will remember having experienced 6 months of horrendous acceleration in the ionic-drive rocket, followed by a year of horrendous turnaround, and another 6 months of horrendous deceleration at the end.  She will have soft, smooth skin, but at a great cost. :-)&lt;br /&gt;
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Sorry to be so long-winded.  In quick summary, the thing that's different about the paths is their length, and that is exactly the local elapsed time.  [[User:Simeon|Simeon]] 00:07, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, time dilation occurs under the Theory of General Relativity also, so your analysis above is not persuasive in resolving this example of a non-conservative effect.  Moreover, your repeated claims about how supposedly only geniuses can understand this are getting tiresome.  That approach is a recipe for mistaken reliance on unjustified authority.  &lt;br /&gt;
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: If you don't feel this is understandable, then simply say so and stop there; please do not imply that people should just accept what someone of undisclosed political views claims.--[[User:Aschlafly|Andy Schlafly]] 10:58, 1 August 2010 (EDT)&lt;br /&gt;
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I give up.&lt;br /&gt;
*The only scientists I mentioned were Minkowski and Eddington, and the latter just as a joke.  I never said anything about their, or anyone else's, politics.&lt;br /&gt;
*Time dilation does indeed occur under both general and special relativity.  The point I was trying to make is that general relativity is simply not needed to understand the twin paradox.  It only takes special relativity, which is much better understood.  I'm sorry to hear that, by not analyzing the twin paradox in terms of general relativity, my persuasiveness suffered.&lt;br /&gt;
*I apologize if I &amp;quot;talked down&amp;quot; to you and Phyllis with my comments about GR being too complicated.  I assume that both of you have heard, many times, that GR is exceedingly complicated.  I was simply trying to soften the blow by pointing out that you ''don't need'' GR.  And cracking that joke about how Eddington could not have been referring to me.&lt;br /&gt;
*In fact, I know a fair amount about GR.  I ''could'' analyze the twin paradox in terms of the gravitation of Earth and Alpha Centauri.  But there is simply no need to.&lt;br /&gt;
*This &amp;quot;non-conservative effect&amp;quot; business simply makes no sense.  If the integration of a vector field along different paths gets different final results, then that field is non-conservative.  You seem to be saying that the ''passage of time'' is some kind of vector field, and that the final results of &amp;quot;integrations&amp;quot; (the two different values of local time at the end of the experiment) are supposed to be the same, and that the difference shows that this &amp;quot;vector field&amp;quot; is not conservative, and that that is a counterexample to relativity.  The passage of time is not a vector field.  The different values of time, as seen by different observers, is not a ''counterexample'' to relativity, it is ''one of the principal effects'' of relativity.  It's really what the word &amp;quot;relativity&amp;quot; means when discussing the scientific Theory of Relativity.&lt;br /&gt;
*If you really think that the non-globality and non-absoluteness of time is a counterexample to relativity, then so be it.&lt;br /&gt;
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[[User:Simeon|Simeon]] 23:13, 1 August 2010 (EDT)&lt;br /&gt;
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: Simeon, if you &amp;quot;give up,&amp;quot; then that is your own choice.  You have not disproved the counterexample.  Instead, you first described the twin paradox as being only about special relativity, and when I pointed out that it exists under general relativity too, you then agree yet do not fully address the substantive issue presented by the paradox.  For example, the amount of acceleration undertaken by the twin in his journey will affect his age independent of his time spent away.  His subsequent age is ''not'' path independent even in time-space coordinates.&lt;br /&gt;
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: It's easy to search for &amp;quot;general relativity&amp;quot; and &amp;quot;conservative field&amp;quot; on the internet and see how little has been written about this.  That is telling in itself.  I'm happy to continue to discuss this here with you or anyone else.--[[User:Aschlafly|Andy Schlafly]] 23:56, 1 August 2010 (EDT)&lt;br /&gt;
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:: Could you clarify what the ages (and path dependence thereof) in the twin paradox have to do with conservative fields?  --[[User:KyleT|KyleT]] 14:04, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
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	<entry>
		<id>https://www.conservapedia.com/index.php?title=User_talk:Tzoran&amp;diff=800218</id>
		<title>User talk:Tzoran</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=User_talk:Tzoran&amp;diff=800218"/>
		<updated>2010-08-02T17:39:37Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Grammatical error */&lt;/p&gt;
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&lt;div&gt;==Copy Edits==&lt;br /&gt;
Thanks for [http://www.conservapedia.com/index.php?title=Exaggeration_of_global_warming&amp;amp;curid=98220&amp;amp;diff=734588&amp;amp;oldid=734560&amp;amp;rcid=806642 improving the wording] of my new article. Please carry on! --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 10:22, 18 December 2009 (EST)&lt;br /&gt;
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[http://www.conservapedia.com/index.php?title=GNU/Linux&amp;amp;curid=8501&amp;amp;diff=734603&amp;amp;oldid=687492&amp;amp;rcid=806659 Really good copy-edits] on [[GNU/Linux]]. The article is more readable, thanks to you. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 10:44, 18 December 2009 (EST)&lt;br /&gt;
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==Blackwater==&lt;br /&gt;
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Are you okay with what I did to [[Xe Services LLC]]? --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 13:43, 18 December 2009 (EST)&lt;br /&gt;
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== Diego Rivera ==&lt;br /&gt;
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Sorry, display is also an art. --[[User:Joaquín Martínez|Joaquín Martínez]] 11:05, 15 February 2010 (EST)&lt;br /&gt;
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: Italics are needed in those words because it is a &amp;quot;copy&amp;quot; from another site.   --[[User:Joaquín Martínez|Joaquín Martínez]] 11:11, 15 February 2010 (EST)&lt;br /&gt;
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== Serious site ==&lt;br /&gt;
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In response to your question, Tzoran, we have fun here, but we're a serious site that tries to help people.  We teach and learn here.  Anything else is a distraction that means less learning and less assistance to others.--[[User:Aschlafly|Andy Schlafly]] 00:04, 18 February 2010 (EST)&lt;br /&gt;
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:But what I really want to know is whether a C-coding YEC can be friends with a Java-coding OEC? ;-) --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 17:34, 21 March 2010 (EDT)&lt;br /&gt;
::I actually code in [[Python]], [[Java]], [[C plus plus|C++]], and [[Fortran]] as well, but I haven't had the time to create userboxes for &amp;quot;This user is a &amp;lt;language&amp;gt; coder&amp;quot; yet, so I'm stuck with C (which I mostly only use for coding additional Python modules. If I need machine-level functionality for toolchains and the like, I prefer the power of C++). I do prefer [[Python]] to [[Java]] but I'll try to resist any Parthian shots of &amp;quot;Python is better!&amp;quot; [[User:Tzoran|Tyler Zoran]] 17:44, 21 March 2010 (EDT)&lt;br /&gt;
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== Arnold Schwarznegger ==&lt;br /&gt;
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Good catch on that. It really did read as if it were the first '''ever''' election in U.S. history! -- [[User:JLauttamus|Jeff W. Lauttamus]][[User_talk:JLauttamus|&amp;lt;sub&amp;gt;Discussion&amp;lt;/sub&amp;gt;]] 14:53, 6 April 2010 (EDT)&lt;br /&gt;
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== Congratulations ==&lt;br /&gt;
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Congratulations on your promotion!  You can now block others, and you also have expanded editing privileges.--[[User:Aschlafly|Andy Schlafly]] 12:48, 28 June 2010 (EDT)&lt;br /&gt;
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==Flags and such==&lt;br /&gt;
Here's the &amp;quot;been to&amp;quot; display I have:&lt;br /&gt;
==Been to:==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-bgcolor=#cccccc&lt;br /&gt;
|- valign=&amp;quot;center&amp;quot;&lt;br /&gt;
|  [[Image:Flag of Germany.JPG|50px]]||[[Image:Flag of Brazil.png|50px]]||[[Image:Flag of Argentina.png|50px]]||[[Image:Flag of Greece.png|50px]]||[[Image:Flag of Canada.svg|50px]] ||[[Image:Flag of France.png|50px]] || [[Image:Flag of Panama.png|50px]] ||[[Image:Flag of Israel.png|50px]]&lt;br /&gt;
|-&lt;br /&gt;
| [[Image:Flag of Peru.svg|50px]] || [[Image:Flag of Colombia.png|50px]] ||[[Image:Flag of Mexico.png|50px]] || [[Image:Flag of Egypt.png|50px]]||[[Image:Flag of Chile.png|50px]] || [[Image:Flag of Ecuador.png|50px]] ||[[Image:Flag of Morocco.png|50px]] || [[Image:Flag of Japan.png|50px]]&lt;br /&gt;
|-&lt;br /&gt;
|  [[Image:Flag of Spain.png|50px]] ||[[Image:Flag of Portugal.png|50px]] ||[[Image:Flag of Tunisia.png|50px]] ||[[Image:Italyflag.gif|50px]]||  [[Image:Flag of the Philippines.png|50px]] ||[[Image:Flag of Djibouti.jpg|50px]]||[[Image:Flag of Bahrain.jpg|50px]] ||[[Image:Flag of Venezuela.jpg|50px]]&lt;br /&gt;
|-&lt;br /&gt;
|  [[Image:Flag of the Bahamas.jpg|50px]] ||[[Image:Turkeyflag.gif|50px]]||[[Image:Flag of Gibraltar.png|50px]]||[[Image:Old Flag of Hong Kong.png|50px]]||[[Image:Flag of the British Indian Ocean Territory.png|50px]]||[[Image:Flag of the UAE.png|50px]]||&lt;br /&gt;
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Trim as needed for your own display.  As to switching military services, make sure that no matter what service you choose, finish your ROTC education.  But I'm biased towards the Navy, so you better pick that!  [[User:Karajou|Karajou]] 13:39, 28 June 2010 (EDT)&lt;br /&gt;
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== Blocking tip ==&lt;br /&gt;
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Great blocks.  Note that, in order to permit account recreation under a different name from the same IP, '''both''' options in the block function must be unchecked.  In your two blocks this morning, your settings were probably appropriate anyway in light of the inappropriate names used.--[[User:Aschlafly|Andy Schlafly]] 11:28, 29 June 2010 (EDT)&lt;br /&gt;
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: Why are you blocking so many accounts?  I've temporarily taken away your blocking privileges until this is discussed.  An unused account does not merit blockage.--[[User:Aschlafly|Andy Schlafly]] 11:49, 30 June 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Nice block! ==&lt;br /&gt;
&lt;br /&gt;
Nice block!--[[User:Aschlafly|Andy Schlafly]] 14:06, 30 June 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Latest Block ==&lt;br /&gt;
&lt;br /&gt;
T, don't worry about wrong blocks, especially if you corrected yourself. Just to let you know that blocking yourself is against our Commandments. --[[User:Jpatt|Jpatt]] 12:31, 1 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==Windows registry==&lt;br /&gt;
&lt;br /&gt;
Ready for merge. Thanks for your hard work. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 12:33, 1 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Re: &amp;quot;Canada Newspapers&amp;quot; category ==&lt;br /&gt;
&lt;br /&gt;
Whoops. Looks like I've made a glaringly obvious mistake. Didn't notice it at first - I'm quite tired at the moment, and isn't really thinking straight. You're right, that needs to be fixed. Thanks. [[User:JonB|JonB]] 12:33, 2 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Great block again! ==&lt;br /&gt;
&lt;br /&gt;
Great block again!--[[User:Aschlafly|Andy Schlafly]] 21:43, 3 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Superb edit ==&lt;br /&gt;
&lt;br /&gt;
Superb edit to [[continents]]!--[[User:Aschlafly|Andy Schlafly]] 11:06, 6 July 2010 (EDT)&lt;br /&gt;
:Thank you! [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 11:12, 6 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Blocking ==&lt;br /&gt;
&lt;br /&gt;
Tyler, the block of RonLar seems overzealous to me, unless I'm missing something.  We allow criticism on talk pages and I plan to respond to him.  We welcome liberals as long as they do not violate basic common-sense rules as outlined in [[Conservapedia Commandments]].  Thanks.--[[User:Aschlafly|Andy Schlafly]] 10:17, 25 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==I'm a bird brain==&lt;br /&gt;
&lt;br /&gt;
Thanks for [http://www.conservapedia.com/index.php?title=Cormorant&amp;amp;curid=21805&amp;amp;diff=799074&amp;amp;oldid=799072&amp;amp;rcid=880195 pointing out this] ... I had thought a cormorant was a kind of [[raisin]]. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 14:01, 29 July 2010 (EDT)&lt;br /&gt;
:I'd never heard of it, but I thought I'd copy edit it as long as I was hitting random page a bunch of times. [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 14:17, 29 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::Better keep away from that [[Special:Random|Random page]] button (unless you want the quality of our articles to go up. ;-) --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 14:54, 29 July 2010 (EDT)&lt;br /&gt;
:::You worried me there for a second! I watch the recent changes page in another tab, to check for vandalism, so all I saw at first was &amp;quot;Stop !!!&amp;quot; in the edit summary. As far as improvements go, one of these days I'll get a script going that'll fix reference errors, typos, etc. That'll be nice. Haha key words here being &amp;quot;one of these days&amp;quot; when I have the time. [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 15:04, 29 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Your welcome ==&lt;br /&gt;
&lt;br /&gt;
You are very welcome. Godspeed. [[User:Jwilhem|Jwilhem]] 12:24, 30 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==False arguments based on slippery wording==&lt;br /&gt;
&lt;br /&gt;
We need to distinguish between real [[torture]] and &amp;quot;things prohibited by anti-torture laws&amp;quot;. This is like the distinction between real [[air pollution]] and things like &amp;quot;emitting gases which liberals say will cause enhanced global warming&amp;quot;. &lt;br /&gt;
&lt;br /&gt;
The destruction of distinctions is one of the tactics of liberals and totalitarians, as noted in George Orwell's ''[[1984]]'' - with the aim to reduce all human speech to nothing more significant than animal noises (see [[duckspeak]]). &lt;br /&gt;
&lt;br /&gt;
We can also see it in the drive for [[homosexual marriage]], as if it made '''any''' sense to speak of a pair of men (or women) as a &amp;quot;married&amp;quot; couple. &lt;br /&gt;
&lt;br /&gt;
In terms of classical logic, the argument goes like this:&lt;br /&gt;
#Torture is so bad that it should always be against the law.&lt;br /&gt;
#P is torture.&lt;br /&gt;
#Therefore, P should be against the law.&lt;br /&gt;
&lt;br /&gt;
Liberals and other enemies of US security (and the security of our allies and friends) don't care whether anyone is being tortured. They only want America's enemies to win. So they try to ban things that we need in our fight against them. &lt;br /&gt;
&lt;br /&gt;
If they really cared about torture, they would shout to the high heavens about what Saddam did to political prisoners, or what China is still doing to the [[Falun Gong]]. When was the last time you heard or saw anything about THAT in the mainstream media? &lt;br /&gt;
&lt;br /&gt;
Whenever there's a [[double standard]], you can always find that what they really want is different from what they say. That's why no one really trusts the liberals. They only use people. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 18:20, 30 July 2010 (EDT)&lt;br /&gt;
:While I agree with your point, I guess I'm confused as to what brought your comment on? Is this related to one of my edits? [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 19:45, 30 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::[[Walling]] ... sorry, I guess I went on a bit of a tangent there, didn't I? You know, one idea sparking another. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 22:43, 30 July 2010 (EDT)&lt;br /&gt;
:::Not a problem at all. Like I said, I heartily agree, I just wasn't sure if one of my numerous copy edits had done the same. I added a cite to the walling article, I think, but I think that's still good. &amp;quot;We need to distinguish between real [[torture]] and &amp;quot;things prohibited by anti-torture laws&amp;quot;. I ''definitely'' have to agree on that one. Maybe I'm wrong in this, given that I see no problem with &amp;quot;enhanced interrogation&amp;quot; as I hear it called now (I mean come on, at summer camp we'd see who could hold our breath the longest in the deep end of the pool, and we never complained that it &amp;quot;simulated drowning&amp;quot;) but I think that the distinction you mentioned probably gets washed away too much, wouldn't you say? [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 23:40, 30 July 2010 (EDT)&lt;br /&gt;
::::'''Note:''' So in hindsight, maybe &amp;quot;washed away&amp;quot; in reference to water boarding was a really awful, albeit accidental, pun... :P Maybe the distinctions get &amp;quot;glossed over?&amp;quot; Yeah something like that. Washed away: right meaning, but probably poor word choice. [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 23:42, 30 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==Grammatical error==&lt;br /&gt;
&lt;br /&gt;
I know this sounds obsessive, but the constant misuse of the word cliché on the internet drives me crazy. Cliché is not an adjective; it is a noun. &amp;quot;It sounds cliche but sue me&amp;quot; should be &amp;quot;It sounds clichéd but sue me&amp;quot;. I don't know where this notion that cliché is an adjective came from, but it is now ''everywhere'' on the web.  Pardon my lunacy. I'll go and lie down now. [[User:Jdixon|Jdixon]] 14:49, 02 August 2010 (BST)&lt;br /&gt;
:Haha, nothing crazy about it! I'm always happy to be corrected. In this case, however, I must disagree with you, because even though cliché originated as a French word and is still used as a noun in that language, in modern English usage, cliché can also be used as an adjective (as can cliché'd or clichéd). This is just another example of the flexibility and adaptability of American English (and why it's the dominant global language). [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 10:01, 2 August 2010 (EDT)&lt;br /&gt;
::Where'd did you see that too? I'm guessing one of my edits included the phrase? [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 10:02, 2 August 2010 (EDT)&lt;br /&gt;
:::Jdixon, that's a pet peeve you'll probably have to get over, and it's neither remotely new nor restricted to the internet.  Even the OED has long given &amp;quot;3c. Used as adj. Stereotyped, hackneyed.&amp;quot;, and I don't think it's going anywhere. --[[User:KyleT|KyleT]] 13:11, 2 August 2010 (EDT)&lt;br /&gt;
::::I appreciate the support, Kyle, but remember that I'm talking about ''American'' English, not the starched variety that the British speak (and that the OED defines). Although ''in this case'', both American and British English accept its usage as an adjective, this is definitely not always the case. Just because something is acceptable in British English doesn't mean it is so in American English, and vice versa. I want to make sure that we stick to the relevant topic at hand and not dive off the deep end into all the different variations on the English language. [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 13:27, 2 August 2010 (EDT)&lt;br /&gt;
:::::OK, point taken, but check any American dictionary (e.g. Merriam-Webster's), and you'll find the same thing.  This has nothing to do with the topic at hand, which is that &amp;quot;cliché&amp;quot; is accepted as an adjective by every dictionary on the planet and as such this isn't a &amp;quot;misuse&amp;quot; at all. --[[User:KyleT|KyleT]] 13:39, 2 August 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Congratulations! ==&lt;br /&gt;
&lt;br /&gt;
Congratulations on your acceptance to graduate schools!--[[User:Aschlafly|Andy Schlafly]] 12:24, 2 August 2010 (EDT)&lt;br /&gt;
:Thank you! My university offers accelerated programs in a lot of different fields (finance, languages, and law, being the ones I'm shooting for) so the application process was a cinch. I've been waiting for six months to hear about the finance and spanish ones, and I'm still waiting to hear if I was accepted into their financial JD program. (and for me it's free!) win win! I'm very elated, though, and thank you again! [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 12:27, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=User_talk:Tzoran&amp;diff=800215</id>
		<title>User talk:Tzoran</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=User_talk:Tzoran&amp;diff=800215"/>
		<updated>2010-08-02T17:11:31Z</updated>

		<summary type="html">&lt;p&gt;KyleT: /* Grammatical error */  cliche&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;==Copy Edits==&lt;br /&gt;
Thanks for [http://www.conservapedia.com/index.php?title=Exaggeration_of_global_warming&amp;amp;curid=98220&amp;amp;diff=734588&amp;amp;oldid=734560&amp;amp;rcid=806642 improving the wording] of my new article. Please carry on! --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 10:22, 18 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
[http://www.conservapedia.com/index.php?title=GNU/Linux&amp;amp;curid=8501&amp;amp;diff=734603&amp;amp;oldid=687492&amp;amp;rcid=806659 Really good copy-edits] on [[GNU/Linux]]. The article is more readable, thanks to you. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 10:44, 18 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
==Blackwater==&lt;br /&gt;
&lt;br /&gt;
Are you okay with what I did to [[Xe Services LLC]]? --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 13:43, 18 December 2009 (EST)&lt;br /&gt;
&lt;br /&gt;
== Diego Rivera ==&lt;br /&gt;
&lt;br /&gt;
Sorry, display is also an art. --[[User:Joaquín Martínez|Joaquín Martínez]] 11:05, 15 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
: Italics are needed in those words because it is a &amp;quot;copy&amp;quot; from another site.   --[[User:Joaquín Martínez|Joaquín Martínez]] 11:11, 15 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
== Serious site ==&lt;br /&gt;
&lt;br /&gt;
In response to your question, Tzoran, we have fun here, but we're a serious site that tries to help people.  We teach and learn here.  Anything else is a distraction that means less learning and less assistance to others.--[[User:Aschlafly|Andy Schlafly]] 00:04, 18 February 2010 (EST)&lt;br /&gt;
&lt;br /&gt;
:But what I really want to know is whether a C-coding YEC can be friends with a Java-coding OEC? ;-) --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 17:34, 21 March 2010 (EDT)&lt;br /&gt;
::I actually code in [[Python]], [[Java]], [[C plus plus|C++]], and [[Fortran]] as well, but I haven't had the time to create userboxes for &amp;quot;This user is a &amp;lt;language&amp;gt; coder&amp;quot; yet, so I'm stuck with C (which I mostly only use for coding additional Python modules. If I need machine-level functionality for toolchains and the like, I prefer the power of C++). I do prefer [[Python]] to [[Java]] but I'll try to resist any Parthian shots of &amp;quot;Python is better!&amp;quot; [[User:Tzoran|Tyler Zoran]] 17:44, 21 March 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Arnold Schwarznegger ==&lt;br /&gt;
&lt;br /&gt;
Good catch on that. It really did read as if it were the first '''ever''' election in U.S. history! -- [[User:JLauttamus|Jeff W. Lauttamus]][[User_talk:JLauttamus|&amp;lt;sub&amp;gt;Discussion&amp;lt;/sub&amp;gt;]] 14:53, 6 April 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Congratulations ==&lt;br /&gt;
&lt;br /&gt;
Congratulations on your promotion!  You can now block others, and you also have expanded editing privileges.--[[User:Aschlafly|Andy Schlafly]] 12:48, 28 June 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==Flags and such==&lt;br /&gt;
Here's the &amp;quot;been to&amp;quot; display I have:&lt;br /&gt;
==Been to:==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-bgcolor=#cccccc&lt;br /&gt;
|- valign=&amp;quot;center&amp;quot;&lt;br /&gt;
|  [[Image:Flag of Germany.JPG|50px]]||[[Image:Flag of Brazil.png|50px]]||[[Image:Flag of Argentina.png|50px]]||[[Image:Flag of Greece.png|50px]]||[[Image:Flag of Canada.svg|50px]] ||[[Image:Flag of France.png|50px]] || [[Image:Flag of Panama.png|50px]] ||[[Image:Flag of Israel.png|50px]]&lt;br /&gt;
|-&lt;br /&gt;
| [[Image:Flag of Peru.svg|50px]] || [[Image:Flag of Colombia.png|50px]] ||[[Image:Flag of Mexico.png|50px]] || [[Image:Flag of Egypt.png|50px]]||[[Image:Flag of Chile.png|50px]] || [[Image:Flag of Ecuador.png|50px]] ||[[Image:Flag of Morocco.png|50px]] || [[Image:Flag of Japan.png|50px]]&lt;br /&gt;
|-&lt;br /&gt;
|  [[Image:Flag of Spain.png|50px]] ||[[Image:Flag of Portugal.png|50px]] ||[[Image:Flag of Tunisia.png|50px]] ||[[Image:Italyflag.gif|50px]]||  [[Image:Flag of the Philippines.png|50px]] ||[[Image:Flag of Djibouti.jpg|50px]]||[[Image:Flag of Bahrain.jpg|50px]] ||[[Image:Flag of Venezuela.jpg|50px]]&lt;br /&gt;
|-&lt;br /&gt;
|  [[Image:Flag of the Bahamas.jpg|50px]] ||[[Image:Turkeyflag.gif|50px]]||[[Image:Flag of Gibraltar.png|50px]]||[[Image:Old Flag of Hong Kong.png|50px]]||[[Image:Flag of the British Indian Ocean Territory.png|50px]]||[[Image:Flag of the UAE.png|50px]]||&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
Trim as needed for your own display.  As to switching military services, make sure that no matter what service you choose, finish your ROTC education.  But I'm biased towards the Navy, so you better pick that!  [[User:Karajou|Karajou]] 13:39, 28 June 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Blocking tip ==&lt;br /&gt;
&lt;br /&gt;
Great blocks.  Note that, in order to permit account recreation under a different name from the same IP, '''both''' options in the block function must be unchecked.  In your two blocks this morning, your settings were probably appropriate anyway in light of the inappropriate names used.--[[User:Aschlafly|Andy Schlafly]] 11:28, 29 June 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
: Why are you blocking so many accounts?  I've temporarily taken away your blocking privileges until this is discussed.  An unused account does not merit blockage.--[[User:Aschlafly|Andy Schlafly]] 11:49, 30 June 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Nice block! ==&lt;br /&gt;
&lt;br /&gt;
Nice block!--[[User:Aschlafly|Andy Schlafly]] 14:06, 30 June 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Latest Block ==&lt;br /&gt;
&lt;br /&gt;
T, don't worry about wrong blocks, especially if you corrected yourself. Just to let you know that blocking yourself is against our Commandments. --[[User:Jpatt|Jpatt]] 12:31, 1 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==Windows registry==&lt;br /&gt;
&lt;br /&gt;
Ready for merge. Thanks for your hard work. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 12:33, 1 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Re: &amp;quot;Canada Newspapers&amp;quot; category ==&lt;br /&gt;
&lt;br /&gt;
Whoops. Looks like I've made a glaringly obvious mistake. Didn't notice it at first - I'm quite tired at the moment, and isn't really thinking straight. You're right, that needs to be fixed. Thanks. [[User:JonB|JonB]] 12:33, 2 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Great block again! ==&lt;br /&gt;
&lt;br /&gt;
Great block again!--[[User:Aschlafly|Andy Schlafly]] 21:43, 3 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Superb edit ==&lt;br /&gt;
&lt;br /&gt;
Superb edit to [[continents]]!--[[User:Aschlafly|Andy Schlafly]] 11:06, 6 July 2010 (EDT)&lt;br /&gt;
:Thank you! [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 11:12, 6 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Blocking ==&lt;br /&gt;
&lt;br /&gt;
Tyler, the block of RonLar seems overzealous to me, unless I'm missing something.  We allow criticism on talk pages and I plan to respond to him.  We welcome liberals as long as they do not violate basic common-sense rules as outlined in [[Conservapedia Commandments]].  Thanks.--[[User:Aschlafly|Andy Schlafly]] 10:17, 25 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==I'm a bird brain==&lt;br /&gt;
&lt;br /&gt;
Thanks for [http://www.conservapedia.com/index.php?title=Cormorant&amp;amp;curid=21805&amp;amp;diff=799074&amp;amp;oldid=799072&amp;amp;rcid=880195 pointing out this] ... I had thought a cormorant was a kind of [[raisin]]. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 14:01, 29 July 2010 (EDT)&lt;br /&gt;
:I'd never heard of it, but I thought I'd copy edit it as long as I was hitting random page a bunch of times. [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 14:17, 29 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
::Better keep away from that [[Special:Random|Random page]] button (unless you want the quality of our articles to go up. ;-) --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 14:54, 29 July 2010 (EDT)&lt;br /&gt;
:::You worried me there for a second! I watch the recent changes page in another tab, to check for vandalism, so all I saw at first was &amp;quot;Stop !!!&amp;quot; in the edit summary. As far as improvements go, one of these days I'll get a script going that'll fix reference errors, typos, etc. That'll be nice. Haha key words here being &amp;quot;one of these days&amp;quot; when I have the time. [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 15:04, 29 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
== Your welcome ==&lt;br /&gt;
&lt;br /&gt;
You are very welcome. Godspeed. [[User:Jwilhem|Jwilhem]] 12:24, 30 July 2010 (EDT)&lt;br /&gt;
&lt;br /&gt;
==False arguments based on slippery wording==&lt;br /&gt;
&lt;br /&gt;
We need to distinguish between real [[torture]] and &amp;quot;things prohibited by anti-torture laws&amp;quot;. This is like the distinction between real [[air pollution]] and things like &amp;quot;emitting gases which liberals say will cause enhanced global warming&amp;quot;. &lt;br /&gt;
&lt;br /&gt;
The destruction of distinctions is one of the tactics of liberals and totalitarians, as noted in George Orwell's ''[[1984]]'' - with the aim to reduce all human speech to nothing more significant than animal noises (see [[duckspeak]]). &lt;br /&gt;
&lt;br /&gt;
We can also see it in the drive for [[homosexual marriage]], as if it made '''any''' sense to speak of a pair of men (or women) as a &amp;quot;married&amp;quot; couple. &lt;br /&gt;
&lt;br /&gt;
In terms of classical logic, the argument goes like this:&lt;br /&gt;
#Torture is so bad that it should always be against the law.&lt;br /&gt;
#P is torture.&lt;br /&gt;
#Therefore, P should be against the law.&lt;br /&gt;
&lt;br /&gt;
Liberals and other enemies of US security (and the security of our allies and friends) don't care whether anyone is being tortured. They only want America's enemies to win. So they try to ban things that we need in our fight against them. &lt;br /&gt;
&lt;br /&gt;
If they really cared about torture, they would shout to the high heavens about what Saddam did to political prisoners, or what China is still doing to the [[Falun Gong]]. When was the last time you heard or saw anything about THAT in the mainstream media? &lt;br /&gt;
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Whenever there's a [[double standard]], you can always find that what they really want is different from what they say. That's why no one really trusts the liberals. They only use people. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 18:20, 30 July 2010 (EDT)&lt;br /&gt;
:While I agree with your point, I guess I'm confused as to what brought your comment on? Is this related to one of my edits? [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 19:45, 30 July 2010 (EDT)&lt;br /&gt;
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::[[Walling]] ... sorry, I guess I went on a bit of a tangent there, didn't I? You know, one idea sparking another. --[[User:Ed Poor|Ed Poor]] &amp;lt;sup&amp;gt;[[User talk:Ed Poor|Talk]]&amp;lt;/sup&amp;gt; 22:43, 30 July 2010 (EDT)&lt;br /&gt;
:::Not a problem at all. Like I said, I heartily agree, I just wasn't sure if one of my numerous copy edits had done the same. I added a cite to the walling article, I think, but I think that's still good. &amp;quot;We need to distinguish between real [[torture]] and &amp;quot;things prohibited by anti-torture laws&amp;quot;. I ''definitely'' have to agree on that one. Maybe I'm wrong in this, given that I see no problem with &amp;quot;enhanced interrogation&amp;quot; as I hear it called now (I mean come on, at summer camp we'd see who could hold our breath the longest in the deep end of the pool, and we never complained that it &amp;quot;simulated drowning&amp;quot;) but I think that the distinction you mentioned probably gets washed away too much, wouldn't you say? [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 23:40, 30 July 2010 (EDT)&lt;br /&gt;
::::'''Note:''' So in hindsight, maybe &amp;quot;washed away&amp;quot; in reference to water boarding was a really awful, albeit accidental, pun... :P Maybe the distinctions get &amp;quot;glossed over?&amp;quot; Yeah something like that. Washed away: right meaning, but probably poor word choice. [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 23:42, 30 July 2010 (EDT)&lt;br /&gt;
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==Grammatical error==&lt;br /&gt;
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I know this sounds obsessive, but the constant misuse of the word cliché on the internet drives me crazy. Cliché is not an adjective; it is a noun. &amp;quot;It sounds cliche but sue me&amp;quot; should be &amp;quot;It sounds clichéd but sue me&amp;quot;. I don't know where this notion that cliché is an adjective came from, but it is now ''everywhere'' on the web.  Pardon my lunacy. I'll go and lie down now. [[User:Jdixon|Jdixon]] 14:49, 02 August 2010 (BST)&lt;br /&gt;
:Haha, nothing crazy about it! I'm always happy to be corrected. In this case, however, I must disagree with you, because even though cliché originated as a French word and is still used as a noun in that language, in modern English usage, cliché can also be used as an adjective (as can cliché'd or clichéd). This is just another example of the flexibility and adaptability of American English (and why it's the dominant global language). [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 10:01, 2 August 2010 (EDT)&lt;br /&gt;
::Where'd did you see that too? I'm guessing one of my edits included the phrase? [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 10:02, 2 August 2010 (EDT)&lt;br /&gt;
:::Jdixon, that's a pet peeve you'll probably have to get over, and it's neither remotely new nor restricted to the internet.  Even the OED has long given &amp;quot;3c. Used as adj. Stereotyped, hackneyed.&amp;quot;, and I don't think it's going anywhere. --[[User:KyleT|KyleT]] 13:11, 2 August 2010 (EDT)&lt;br /&gt;
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== Congratulations! ==&lt;br /&gt;
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Congratulations on your acceptance to graduate schools!--[[User:Aschlafly|Andy Schlafly]] 12:24, 2 August 2010 (EDT)&lt;br /&gt;
:Thank you! My university offers accelerated programs in a lot of different fields (finance, languages, and law, being the ones I'm shooting for) so the application process was a cinch. I've been waiting for six months to hear about the finance and spanish ones, and I'm still waiting to hear if I was accepted into their financial JD program. (and for me it's free!) win win! I'm very elated, though, and thank you again! [[User:Tzoran|Tyler Zoran]] &amp;lt;sup&amp;gt;[[User talk:Tzoran|Talk]]&amp;lt;/sup&amp;gt; 12:27, 2 August 2010 (EDT)&lt;/div&gt;</summary>
		<author><name>KyleT</name></author>
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