Velocity addition in Special Relativity and in Newtonian Mechanics are isomorphic

2005/04/14 by Elemér E Rosinger, ELemer E Rosinger, Rosinger, ELemer E · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #Mathematics and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0504043

arxiv created 2005/04/14 · openalex publication_date 2005/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the one dimensional case, velocity addition in Special Relativity and in Newtonian Mechanics, respectively, are each a commutative group operation, and the two groups are isomorphic. There are infinitely many such isomorphisms, each indexed by one positive real parameter.

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