TL;DR
This paper examines Mansuripur's paradox, analyzing how different models of magnetic dipoles affect compatibility with special relativity, highlighting the importance of hidden momentum in resolving the paradox.
Contribution
It clarifies the resolution of Mansuripur's paradox by comparing Gilbert and Ampere models and emphasizing the role of hidden momentum in the standard model.
Findings
Gilbert model aligns with special relativity without issues.
Ampere model requires hidden momentum for consistency.
The paradox's resolution depends on the magnetic dipole model used.
Abstract
A recent article claims that the Lorentz force law is incompatible with special relativity. We discuss the "paradox" on which this claim is based. The resolution depends on whether one assumes a "Gilbert" model for the magnetic dipole (separated monopoles) or the standard "Ampere" model (current loop). The former was presented in these pages many years ago; the latter requires the inclusion of "hidden momentum."
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