The Local Space-Time Lorentz Transformation: a New Formulation of Special Relativity Compatible with Translational Invariance

Abstract

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. Two satellite-borne experiments to test these predictions are proposed.

45 pages 11 figures 8 tables. See also physics/0403127, physics/0403094 and physics/0004012. In v2, calculational error in Section 4 is corrected. v3 has revised and corrected Sections 2 and 7 and new Figs.1 and 5. Conclusions unchanged

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