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

2005/01/10 by J. H. Field, Field, J. H.
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Frequency and Time Standards #FOS: Physical sciences #General Physics (physics.gen-ph) #Geophysics and Gravity Measurements #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0501043

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

openalex publication_date 2005/01/10 · arxiv created 2007/11/30 · arxiv updated 2011/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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