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From one space dimension to two space dimensions in special relativity

2005/02/17 by Bernhard Rothenstein, Rothenstein, Bernhard
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0502095

arxiv created 2005/02/17 · openalex publication_date 2005/02/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Authors derive the Lorentz-Einstein transformation for the space-time coordinates starting with a one-space dimension approach. They add to the results the invariance of the space coordinates measured perpendicular to the direction of relative motion. Students often ask if the transition does not affect the transformation equation for the time coordinate. Our paper shows that the transformation of the time coordinate depends only on the x space coordinate.

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