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==The Tully-Fisher relation and halo dark matter==
Since luminosity <math>L</math> is proportional to the mass <math>M</math> of the [[galaxy]], it follows that the fourth power of the ''circular velocity'' is proportional to <math>M</math>. Newtonian mechanics, however, states that the square of the ''circular velocity'' is proportional to <math>M</math>. In order to rectify this discrepancy, astronomers assume the existence of halo [[dark matter]].<ref name="Dark Matter">{{cite web|author=Silvia Behar, Moshe Carmeli|date=19 Jul 1999|title=Derivation of the Tully-Fisher Law from General Relativity Theory: Doubts about the Existence of Halo Dark Matter |journal=Int.J.Theor.Phys. |volume=|issue=39|pages=1397–1404|doi=|url=http://arxiv.org/abs/astro-ph/9907244v1}}</ref> [[Moshe Carmeli|M.Carmeli]] was able to derive this well-known Tully-Fisher relation after 5-dimensional modification and extension of [[General theory of relativity|Einstein's general theory]] albeit in fact he showed that the relationship was with the ''mass'' of the galaxy which is assumed to relate to its ''luminosity''.<ref name="starlight"/> The Tully-Fisher relation is considered to be so reliable in astronomy that it is routinely used to measure the distance to galaxy, because it gives a measure of the brightness of the source. According to [[John Hartnett|J.Hartnett]] it would be a strange coincidence if all galaxies had just right amount of [[dark matter|'dark' matter]] to allow for this relation and emphasizes that Carmeli's new theory questioned its existence. Both Carmeli and Hartnett declared that Hartnett was able to extend Carmeli's theory to account for alleged missing mass without the need for 'dark' matter on galactic scale.<ref name="starlight">{{cite book| last = Hartnett| first = John| authorlink = | title = Starlight, Time and the New Physics| publisher = Creation Ministries International| series = | year = 2007| doi = | isbn = 978-0-949-906687|pages=47–54|quote=...Technically, what astronomers are doing is measuring the rotation speeds of the outermost tracer gases on the edge of the disks of stars. In these regions the rotation curves are usually constant as a function of radial distance, so one can imagine this to be a rotation speed for the whole galaxy.}}</ref><ref>{{cite book|first=Moshe|last=Carmeli|title=Cosmological relativity: the special and general theories of the structure|publisher=World Scientific Publishng Co.|location=Danvers, MA, USA|year=2006|url=httphttps://books.google.com/books?id=GS-exC2S_V0C&pg=PP7&dq=John+Hartnett+cosmology&hl=en&ei=12nPTrHeHcWaOprpiLAF&sa=X&oi=book_result&ct=result&resnum=3&ved=0CD4Q6AEwAg#v=onepage&q=John%20Hartnett%20cosmology&f=false|isbn=981-270-075-7|quote=It was shown by Dr. John G. Hartnett that there is no need to assume the existence of dark matter in the universe. |accessdate=2012-10-05}}</ref>
==References==