On Force Interactions for Electrodynamics-Like Theories

Fuente: arXiv
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Autori principali: Gol'dshtein, Vladimir, Segev, Reuven
Natura: Preprint
Pubblicazione: 2026
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author Gol'dshtein, Vladimir
Segev, Reuven
author_facet Gol'dshtein, Vladimir
Segev, Reuven
contents A framework for premetric p-form electrodynamics is proposed. Independently of particular constitutive relations, the corresponding Maxwell equations are derived as a special case of stress theory in geometric continuum mechanics. Expressions for the potential energy of a charged region in spacetime, as well as expressions for the force and stress interactions on the region, are presented. The expression for the force distribution is obtained by computing the rate of change of the proposed potential energy under a virtual motion of the region. These expressions differ from those appearing in the standard references. The cases of electrostatics and magnetostatics in R^3 are presented as examples.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10308
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Force Interactions for Electrodynamics-Like Theories
Gol'dshtein, Vladimir
Segev, Reuven
Mathematical Physics
70A05, 78A75, 78A30, 74F15
A framework for premetric p-form electrodynamics is proposed. Independently of particular constitutive relations, the corresponding Maxwell equations are derived as a special case of stress theory in geometric continuum mechanics. Expressions for the potential energy of a charged region in spacetime, as well as expressions for the force and stress interactions on the region, are presented. The expression for the force distribution is obtained by computing the rate of change of the proposed potential energy under a virtual motion of the region. These expressions differ from those appearing in the standard references. The cases of electrostatics and magnetostatics in R^3 are presented as examples.
title On Force Interactions for Electrodynamics-Like Theories
topic Mathematical Physics
70A05, 78A75, 78A30, 74F15
url https://arxiv.org/abs/2601.10308