2006/12/18 by Mushfiq Ahmad, Ahmad, Mushfiq
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Relativity and Gravitational Theory #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0612057
4 pages
arxiv created 2006/12/18 · openalex publication_date 2006/12/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have defined slowness (or reciprocal velocity, corresponding to velocity v) as cc/v, where c is the speed of light. It is observed that the relative velocity remains invariant if the velocities are replaced by corresponding slownesses i.e. relative motion in one dimension is reciprocal symmetric. Reciprocity operation, which converts a velocity to the corresponding slowness, is found. Lorentz transformation is generalized so that Lorentz invariance is maintained if velocities are replaced by corresponding slownesses.