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We study the full Maxwell-Dirac equations: Dirac field with minimally coupled electromagnetic field and Maxwell field with Dirac current as source. Our particular interest is the static case in which the Dirac current is purely time-like --…

Mathematical Physics · Physics 2008-11-26 Chris Radford , Hilary Booth

The possibility of the existence of magnetic charges is one of the greatest unsolved issues of the physics of this century. The concept of magnetic monopoles has at least two attractive features: (i) Electric and magnetic fields can be…

High Energy Physics - Phenomenology · Physics 2008-02-03 Rainer W. Kuhne

A charged particle initially at rest in an external magnetic field starts to rotate when the magnetic field is switched off. This is a variant of the Feynman disc paradox, where the conservation of angular momentum is seemingly violated.…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Svend-Age Biehs , Ivan Latella

Though sufficient for local conservation of charge, Maxwells displacement current is not necessary. An alternative to the Ampere-Maxwell equation is exhibited and the alternatives electric and magnetic fields and scalar and vector…

Classical Physics · Physics 2014-12-01 Alan M. Wolsky

A fundamentally new understanding of the classical electromagetic interaction of a point charge and a magnetic moment through order second order in 1/c is suggested. This relativistic analysis connects together hidden momentum in magnets,…

Classical Physics · Physics 2007-05-23 Timothy H. Boyer

The Lorentz force of classical electrodynamics, when applied to magnetic materials, gives rise to hidden energy and hidden momentum. Removing the contributions of hidden entities from the Poynting vector, from the electromagnetic momentum…

Classical Physics · Physics 2014-04-15 Masud Mansuripur

We return to further examination of the need for the existence of magnetic monopoles based on the decades old derivation [Sherman Frankel, Amer. Jour. of Physics, 44, 7, 683-6 1976], of both the monopole-charge force, vec(F) = eg(vec(r) *…

Nuclear Theory · Physics 2007-05-23 S. Frankel

The theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no such thing as a true point-particle, it is…

Classical Physics · Physics 2026-03-19 Andrew T. Hyman

A charge moving freely in orbit around the Earth radiates according to Larmor's formula. If the path is closed, it would constitute a perpetuum mobile. The solution to this energy paradox is found in an article by C. M. DeWitt and B. DeWitt…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Øyvind Grøn , Sigurd Kirkevold Næss

Based on the analysis of biquaternion quadratic forms of field, it is shown that Maxwell equations arise as a consequence of the principle of conservation of the energy-momentum flow of field in space-time. It turns out that this principle…

Classical Physics · Physics 2024-03-05 Sergey Y. Kotkovskiy

Starting with the most general form of Maxwell's macroscopic equations in which the free charge and free current densities, rho_free and J_free, as well as the densities of polarization and magnetization, P and M, are arbitrary functions of…

Optics · Physics 2012-08-07 Masud Mansuripur

The classical theory of electrodynamics cannot explain the existence and structure of electric and magnetic dipoles, yet it incorporates such dipoles into its fundamental equations, simply by postulating their existence and properties, just…

Optics · Physics 2015-03-10 Masud Mansuripur

The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic (EM) field, force, energy, and momentum, which are intimately tied together by Poynting's theorem and by the Lorentz force law.…

Classical Physics · Physics 2017-09-25 Masud Mansuripur

Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

High Energy Physics - Theory · Physics 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving…

High Energy Physics - Theory · Physics 2017-08-02 Ali Seraj

Using realistic classical models of microscopic electric-charge electric dipoles and electric-current (Amperian) magnetic dipoles, it is proven that the Einstein-Laub macroscopic electromagnetic force on a macroscopic-continuum volume of…

Classical Physics · Physics 2023-11-21 Arthur D. Yaghjian

The problem of the motion of a charged particle in an electric dipole field is used to illustrate that the Hamilton-Jacobi method does not necessarily give all solutions to the equations of motion of a mechanical system. The mathematical…

General Physics · Physics 2015-06-17 Nivaldo A. Lemos

Unlike a single Carroll particle, a multiparticle Carroll system can move under suitable conditions, as we demonstrate it explicitly for two particles with a momentum-dependent interaction: the center-of-mass remains fixed, however relative…

General Relativity and Quantum Cosmology · Physics 2025-05-15 P. -M. Zhang , H-X. Zeng , P. A. Horvathy

We generalize the derivation of electromagnetic fields of a charged particle moving with a constant acceleration [1] to a variable acceleration (piecewise constants) over a small finite time interval using Coulomb's law, relativistic…

Classical Physics · Physics 2018-06-25 Sandeep Aashish , Asrarul Haque

We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion…

High Energy Physics - Theory · Physics 2012-07-05 Arnab Kar , S. G. Rajeev