Translational invariance and the space-time Lorentz transformation with arbitary spatial coordinates

Details Translational invariance and the space-time Lorentz transformation with arbitary spatial coordinates Translational invariance and the space-time Lorentz transformation with arbitary spatial coordinates

2007-03-19

arxiv.org/abs/physics/0703185v2

Physics

General Physics

5 pages, V2: corrected calculation of length interval transformation; references modified;conclusions unchanged

Scientific paper

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 arbitary 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

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