Translational invariance and the space-time Lorentz transformation with arbitrary spatial coordinates
arXiv:physics/0703185
Abstract
Translational invariance requires that physical predictions are independent of the choice of spatial coordinate system used. The time dilatation effect of special relativity is shown to manifestly respect this invariance. Consideration of the space-time Lorentz transformation with arbitrary spatial coordinates shows that the spurious `length contraction' and `relativity of simultaneity' effects --the latter violating translational invariance-- result from the use of a different spatial coordinate system to describe each of two spatially separated clocks at rest in a common inertial frame
5 pages, V2: corrected calculation of length interval transformation; references modified;conclusions unchanged. V3: typos removed; minor text improvements; references updated
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Cited by in corpus (11)
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