Relativity and Cosmology

   

Invalid Intervals of X' Calculated by the Lorentz Transformations

Authors: Andrew Banks

Under Special Relativity (SR), as a consequence of the light postulate, a spherical light wave (SLW) propagates away from the light emission point in the frame in all directions at a constant velocity c . Further, assuming the standard configuration, since the Lorentz transformations (LT) are required to preserve the truth of all aspects of the SLW, then on any time interval, LT must preserve the propagation the SLW away from the origin of the primed frame. In short, since there is only one SLW under SR assuming one light pulse and given some time interval for the unprimed frame, since the set of vectors for that time interval demonstrates the propagation of the SLW away from the unprimed origin at c , then the corresponding set of LT mapped vectors must also demonstrate the SLW propagates away from the primed origin at c . More specifically, SLW expansion in one frame must translate using LT to SLW expansion for any other frame. However, it will be shown, using some arbitrary ...

Comments: 8 pages

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Submission history

[v1] 1 Aug 2011

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