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arXiv · 2302.01937

The Classical Aharonov-Bohm Interaction as a Relativity Paradox

Timothy H. Boyer
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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.

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Timothy H. Boyer. 2023-02-03. The Classical Aharonov-Bohm Interaction as a Relativity Paradox. https://doi.org/10.1088/1361-6404/acc0e6

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