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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

We hypothesize that a charged particle in unbounded vacuum can be substantially accelerated by a force linear in the electric field of a propagating electromagnetic wave only if the accelerating field is capable of bringing the particle to…

Accelerator Physics · Physics 2013-11-25 Liang Jie Wong , Franz X. Kärtner

The force density on matter and the kinetic energy-momentum tensor of the electromagnetic field in matter are obtained starting from Maxwell equations and Lorentz force at microscopic level and averaging over a small region of space-time.…

Classical Physics · Physics 2014-08-18 Rodrigo Medina , J. Stephany

By modeling a linear polarizable and magnetizable medium (magneto-dielectric) with two quantum fields, namely E and M, electromagnetic field is quantized in such a medium consistently and systematically. A Hamiltonian is proposed from…

Quantum Physics · Physics 2009-11-11 F. Kheirandish , A. Amooshahi

Using geometric algebra and calculus to express the laws of electromagnetism we are able to present magnitudes and relations in a gradual way, escalating the number of dimensions. In the one-dimensional case, charge and current densities,…

Classical Physics · Physics 2021-06-08 Xabier Prado Orbán , Jorge Mira

Electromagnetic field of a fast electric charge in nuclear matter with spatially uniform but random topological charge density is derived. A useful approximation is developed for the relativistic heavy-ion collisions.

High Energy Physics - Phenomenology · Physics 2020-07-08 Kirill Tuchin

We consider a test charged particle falling onto a Schwarzschild black hole and evaluate its electromagnetic field. The Regge-Wheeler equation is solved analytically by approximating the potential barrier with Dirac delta function and…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Komarov S. O. , Gorbatsievich A. K. , Vereshchagin G.

A self-consistent consideration of the Lienard-Wiechert solition is given including its heuristic deduction, which involves a future light cone (thus the lightlike propagation of information from an arbitrarily moving pointlike charge), and…

Classical Physics · Physics 2007-05-23 Nikolai V. Mitskievich

We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

General Relativity and Quantum Cosmology · Physics 2020-01-09 Murat Özer

We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order…

General Relativity and Quantum Cosmology · Physics 2011-03-21 T. Dereli , O. Sert

Electromagnetic potentials allow for an alternative description of the Maxwell field, the electric and magnetic components of which emerge as gradients of the vector and the scalar potential. We provide a general relativistic analysis of…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Panagiotis Mavrogiannis , Christos G. Tsagas

The motion of charged particles in weakly varying electromagnetic fields is described using a perturbation method. This provides a systematic and physically transparent description of the particle motion on fast and slow spatio-temporal…

Plasma Physics · Physics 2014-05-15 D. S. Sortland , O. E. Garcia

A new approach to classical electrodynamics is presented, showing that it can be regarded as a particular case of the most general relativistic force field. In particular, at first it is shown that the structure of the Lorentz force comes…

General Relativity and Quantum Cosmology · Physics 2009-07-14 Stefano Re Fiorentin

Retarded electromagnetic potentials are derived from Maxwell's equations and the Lorenz condition. The difference found between these potentials and the conventional Li\'{e}nard-Wiechert ones is explained by neglect, for the latter, of the…

Classical Physics · Physics 2015-06-05 J. H. Field

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is…

High Energy Physics - Theory · Physics 2011-02-03 Valeri P. Frolov , Pavel Krtous

We introduce the concept of emergent electric field. This is distinguished from the fundamental one in that the emergent electric field directly appears in observations through the Lorentz force, while the latter enters the phase space as…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Erick I. Duque

In this paper a formulation of the field equation for moving media is developed by the generalization of an axiomatic geometric formulation of the electromagnetism in vacuum (Ivezi\'{c} T 2005 Found. Phys. Lett. 18 401. First, the field…

General Physics · Physics 2017-06-06 Tomislav Ivezic

The Lorentz force equations provide a partial description of the geodesic motion of a charged particle on a four-manifold. Under the hypothesis that Maxwell's equations express symmetry properties of the Ricci tensor, the full…

Mathematical Physics · Physics 2007-05-23 Michael A. Graber

The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. We show that for higher orders, it is more efficient to have fields represented in…

Classical Physics · Physics 2010-06-04 C Vrejoiu , R Zus

Starting from Stratton-Panofsky-Phillips-Jefimenko equations for the electric and magnetic fields generated by completely arbitrary charge and current density distributions at rest, we derive far-zone approximations for the fields,…

Classical Physics · Physics 2010-01-11 B. Thidé , J. Lindberg , H. Then , F. Tamburini