paper

The Classical Aharonov-Bohm Interaction as a Relativity Paradox

arXiv:2302.01937 · doi:10.1088/1361-6404/acc0e6

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.

16 pages

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