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Relativistic velocity addition law derived from a machine gun analogy and time dilation only

2007/03/15 by Bernhard Rothenstein, Rothenstein, Bernhard, Ştefan Popescu +2
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0703157

6 pages, 1 figure

arxiv created 2007/03/15 · openalex publication_date 2007/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a scenario that involves a machine gun, the bullets it fires and a moving target, considered from the rest frame of the machine gun and from the rest frame of the target respectively. Involving the special relativity via its two postulates and the time dilation formula we derive the relativistic velocity addition law showing that it leads to the Lorentz transformations for the space-time coordinates of the same event.

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