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Mathematical investigations performed by Lorentz, Fitzgerald and Larmore shown that [[Maxwell's Equations]] used for description of [[electromagnetic field]] do not conserve the [[covariant]] character with respect to Galilean transformations. That's why he worked out equations for transformation of coordinates that allow for keeping the identical form of Maxwell's equations in all inertial systems. In these transformations the spacial and time coordinates are mutually interrelated and the meaning of relativity term is extended from space to time. [[Albert Einstein|A. Einstein]] set these [[Lorentz transformation]]s as the fundamental equations for description of the space-time structure in his [[Special Theory of Relativity]], he however removed the assumption of the ''absolute [[frame of reference]]'' with respect to which they were expected to be interpreted. Lorentz in physical aspect of his theory left in force the [[Aether (science)|aether]] hypothesis. The consequences of Lorentz transformation for motion at high speeds are contraction and dilatation effects, which Lorentz ascribes to lengths and time intervals and not to medium (aether or absolute space) as such. Lorentz never to his last day gave up the idea of plausibility of his explanation compared to the one from Einstein. H.Dingle points out that it is not possible to decide experimentally between Lorentz's and Einstein's theory and the only indirect experiment is [[Michelson-Morley experiment]].<ref>{{cite book