The Classical Aharonov-Bohm Interaction as a Relativity Paradox
Classical Physics
2023-06-06 v1
Abstract
The situation of a charged particle passing down the symmetry axis through a magnetic toroid presents a relativity paradox; different inertial frames suggest different forces on the charge and on the toroid due to the unperturbed systems. We review the charge-toroid interaction and suggest that the magnetic Aharonov-Bohm situation is misunderstood because of unfamiliarity with the acceleration fields following from the Darwin Lagrangian, which go unmentioned in recent textbooks of classical electromagnetism.
Cite
@article{arxiv.2302.01937,
title = {The Classical Aharonov-Bohm Interaction as a Relativity Paradox},
author = {Timothy H. Boyer},
journal= {arXiv preprint arXiv:2302.01937},
year = {2023}
}
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16 pages