English

Is there a "Charge - Magnet Paradox"

General Physics 2013-08-02 v4

Abstract

In this paper it is shown that in the approach to special relativity which exclusively deals with the four-dimensional geometric quantities (4D GQs), the invariant special relativity (ISR), there is not recently posed paradox that in a static electric field a magnetic dipole moment (MDM) is subject to a torque in some frames and not in others. In the ISR, there is no need either for the change of the Lorentz force, but as a 4D GQ, or for the introduction of some "hidden" 3D quantities. Furthermore, in the ISR, contrary to all previous approaches, an electrically neutral current-loop in its rest frame possesses not only a MDM m, but also an electric dipole moment (EDM) p and a stationary permanent magnet possesses not only an intrinsic magnetization M but also an intrinsic electric polarization P. Hence, in a static electric field, both, a current-loop and a permanent magnet experience the Lorentz force K_{L} and the torque N in all relatively moving inertial frames. The quantities m, p, M, P, K_{L}, N are the 4D GQs.

Keywords

Cite

@article{arxiv.1212.4684,
  title  = {Is there a "Charge - Magnet Paradox"},
  author = {Tomislav Ivezic},
  journal= {arXiv preprint arXiv:1212.4684},
  year   = {2013}
}

Comments

36 pages; relative to the v3, typos are corrected in some references. arXiv admin note: text overlap with arXiv:1204.5137

R2 v1 2026-06-21T22:57:15.689Z