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Non-Associativity of Lorentz Transformation and Associative Reflection Symmetric Transformation

2007/04/15 by Mushfiq Ahmad, Ahmad, Mushfiq, Md Shah Alam +2
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0704.1894

4 pages, 1 figure

arxiv created 2007/04/15 · openalex publication_date 2007/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Each of the two moving observers observes the relative velocity of the other. The two velocities should be equal and opposite. We have shown that this relativistic requirement is not fulfilled by Lorentz transformation. We have also shown that the reason is that Lorentz transformation is not associative. Reciprocal symmetric transformation is associative and fulfills relativistic requirements.

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