The chargemagnet paradoxes of classical electrodynamics
Abstract
A number of chargemagnet paradoxes have been discussed in the literature, beginning with Shockley's famous 1967 paper, where he introduced the notion of hidden momentum in electromagnetic systems. We discuss all these paradoxes in a single, general context, showing that the conservation laws of linear and angular momenta can be satisfied without the need for hidden entities, provided that the EinsteinLaub laws of force and torque are used in place of the standard Lorentz law. Einstein and Laub published their paper in 1908, but the simplicity of the conventional Lorentz law overshadowed the subtle features of their formulation which, at first sight, appears somewhat complicated. However, that slight complication turns out to lead to subsequent advantages in light of Shockley's discovery of hidden momentum, which occurred more than a decade after Einstein had passed away. In this paper, we show how the EinsteinLaub formalism handles the underlying problems associated with certain paradoxes of classical electrodynamics involving a static distribution of electric charges and a magnet whose magnetization slowly fades away in time. The EinsteinLaub laws of electromagnetic force and torque treat these paradoxes with elegance and without contradicting the existing body of knowledge, which has been confirmed by more than one and a half century of theoretical and experimental investigations.
 Publication:

Spintronics VII
 Pub Date:
 August 2014
 DOI:
 10.1117/12.2060569
 arXiv:
 arXiv:1409.3632
 Bibcode:
 2014SPIE.9167E..0JM
 Keywords:

 Physics  Classical Physics
 EPrint:
 12 pages, 45 equations, 48 references.