On Bell's dynamical route to special relativity

Fuente: arXiv
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Autor principal: Strauch, Frederick W.
Formato: Preprint
Publicado: 2025
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author Strauch, Frederick W.
author_facet Strauch, Frederick W.
contents This paper develops the approach to special relativity put forward by John S. Bell. The classical dynamics of an electron orbiting a nucleus in uniform motion is solved analytically and compared to numerical simulations for an accelerated nucleus. The relativistic phenomena of length contraction and time dilation are shown to result from the electric and magnetic forces on the electron when its motion is analyzed in a single frame of reference. The relevance of these results for understanding the theory of special relativity is discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2506_23450
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Bell's dynamical route to special relativity
Strauch, Frederick W.
History and Philosophy of Physics
This paper develops the approach to special relativity put forward by John S. Bell. The classical dynamics of an electron orbiting a nucleus in uniform motion is solved analytically and compared to numerical simulations for an accelerated nucleus. The relativistic phenomena of length contraction and time dilation are shown to result from the electric and magnetic forces on the electron when its motion is analyzed in a single frame of reference. The relevance of these results for understanding the theory of special relativity is discussed.
title On Bell's dynamical route to special relativity
topic History and Philosophy of Physics
url https://arxiv.org/abs/2506.23450