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

J. H. Field

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

J. H. Field

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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.

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J. H. Field. 2007-11-30. The Local Space-Time Lorentz Transformation: a New Formulation of Special Relativity Compatible with Translational Invariance. https://arxiv.org/abs/physics/0501043

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