The Space-Time Lorentz Transformation: Relativity of Simultaneity is Incompatible with Translational Invariance
Observations of the apparent times and positions of moving clocks as predicted by both `non-local' and `local' Lorentz Transformations are considered. Only local transformations respect translational invariance. Such transformations change temporal but not spatial intervals, so breaking space time exchange symmetry and forbidding relativity of simultaneity and length contraction. A satellite cesium clock experiment to test these predictions is proposed.
- Pub Date:
- March 2004
- Physics - General Physics
- 34 pages, 9 figures, 6 tables. See also physics/0004012, physics/0403094. If the arguments presented in this paper prove to be correct, all text books on special relativity will need to be rewritten. v2 mistake explained in `Added Note'. References added, conclusions unchanged