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A formulation of quantum electrodynamics is proposed, in which the local law of conservation of electric charge serves as the source of the gauge condition. The equations of motion of the gauge variable and the density of the charge…

High Energy Physics - Theory · Physics 2021-05-13 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

All quantum gravity approaches lead to small modifications in the standard laws of physics which lead to violations of Lorentz invariance. One particular example is the extended standard model (SME). Here, a general phenomenological…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Claus Laemmerzahl , Alfredo Macias , Holger Mueller

Black holes can be electromagnetically charged, or carry vector charge from new fundamental fields. Their response to small fluctuations is of paramount importance to study gravitational wave generation. However, the usual even and odd…

General Relativity and Quantum Cosmology · Physics 2023-10-25 David Pereñiguez

In this work, we study the behavior of elementary electromagnetic sources, i.e., point-like electric charges and intrinsic magnetic dipoles, in the presence of homogeneous electromagnetic fields in a classical and covariant setting. We show…

Classical Physics · Physics 2025-08-26 Ivanina Ilieva , Carsten Rockstuhl , Ivan Fernandez-Corbaton

A propulsion generated without propellent mass and external forces using a well known physics is possible theoretically. To do that, it is proposed to use two specific time-varying and constrained distributions of electric charges which own…

General Physics · Physics 2007-05-23 Benoit T. Guay

Light-matter interaction models invariably rely on the multipole expansion of the electromagnetic potentials generated by complex charge distributions. These multipoles are typically taken to be traceless, however, for a correct evaluation…

Quantum Physics · Physics 2025-08-22 Jivesh Kaushal , Chris Boldt , Stefan Scheel , Athanasios Laliotis , Paolo Pedri

The paradox of a field of a moving locked charge (confined in a closed space) is considered and solved with the use of the integral Maxwell equations. While known formulas obtained for instantaneous fields of charges moving along straight…

Classical Physics · Physics 2020-12-02 Alexander J. Silenko

This paper examines the theory of electron magnetic dipole moment interactions with magnetic fields or other electrons in classical and quantum electrodynamics. We show that these interactions may be described by a version of the Poynting…

Classical Physics · Physics 2026-04-22 Peter J Mohr

The following inverse problem is discussed. A static electromagnetic field generated by a limited system of charges and currents is supposed to be known with its first derivatives at a point somewhere far from the system. This allows to…

Classical Physics · Physics 2015-02-16 V. Ya. Epp , G. F. Kopytov , T. G. Mitrofanova

In this work we further advance theoretical investigation of radiation by the electric dipole under the assumption that wavelength is much smaller than charge separation distance of an electric dipole, which in turn is much smaller than a…

Classical Physics · Physics 2020-07-28 Altay Zhakatayev , Leila Tlebaldiyeva

We propose a consistent approach to the definition of electric, magnetic, and toroidal multipole moments. Electric and magnetic fields are split into potential, vortex, and radiative terms, with the latter ones dropped off in the…

Classical Physics · Physics 2019-01-10 Yuri Krynytskyi , Andrij Rovenchak

The interaction of a point charge and a magnetic moment (and by extension a point charge and a solenoid) is explored within well-defined point-charge magnetic-moment models where full calculations are possible. It is shown explicitly how…

Classical Physics · Physics 2007-08-27 Timothy H. Boyer

We investigate the charges and fluxes that can occur in higher-order Abelian gauge theories defined on compact space-time manifolds with boundary. The boundary is necessary to supply a destination to the electric lines of force emanating…

High Energy Physics - Theory · Physics 2009-11-10 Marcos Alvarez , David I. Olive

Time dependent systems in general do not conserve photons nor do they conserve energy. However when parity time symmetry holds Maxwells equations can sometimes both conserve photon number and energy. Here we show that photon conservation is…

Optics · Physics 2022-09-29 J B Pendry

Using a proper gauge condition the static spherically symmetric solutions of Einstein-Maxwell equations with charged point source at the center are derived. It is shown that the solutions of the field equations are a three-parameter family…

High Energy Physics - Theory · Physics 2007-05-23 P. P. Fiziev , S. V. Dimitrov

By using the two 4-dimensional potential formulation of electromagnetic (EM) field theory introduced in [1], we found that the SO(2) duality symmetric EM field theory can be reduced to the magnetic source free case by a special choice of…

High Energy Physics - Theory · Physics 2009-11-07 Kang Li

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Roland A. Puntigam , Claus Lämmerzahl , Friedrich W. Hehl

We formulate a nonlinear electrodynamic theory which may be viewed as a weighted theory minimally interpolating the classical Maxwell and Born--Infeld theories. We show that, in contrast to the Born--Infeld theory, this new theory…

High Energy Physics - Theory · Physics 2025-11-14 Tengyang Liu , Yisong Yang

It is known that an electric-magnetic duality transformation is a symmetry of the classical source-free Maxwell theory in generic spacetimes. This provides a conserved Noether charge, physically related to the polarization state of the…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Adrian del Rio

With use the Hamiltonian form of the Maxwell's equations one biquaternionic model for electro-gravimagnetic (EGM) field is offered. The equations of the interaction of EGM-fields, which are generated by different charge and current, are…

Mathematical Physics · Physics 2011-04-11 Lyudmila Alexeyeva