Isomorphism between Galilean and Lorentz Transformations and Special Relativity in Galilean Algebra

2006/12/06 by Mushfiq Ahmad, Ahmad, Mushfiq
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #History and Theory of Mathematics #Mathematical Physics (math-ph) #Mathematics and Applications #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0612019

4 pages

arxiv created 2006/12/06 · openalex publication_date 2006/12/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have shown that Lorentz transformation is not necessary to present relativistic relative velocity. A modified definition of velocity together with Galilean transformation is equivalent to relativistic relative velocity. On the other hand, Galilean relative velocity can be presented as a Lorentz transformation. Again the definition of velocity requires a modification.

Citations

• Reciprocal Symmetry and Equivalence between Relativistic and Quantum Mechanical Concepts

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• Lorentz from Galilei, deductively
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• Concepts of relative velocity