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This paper begins with a critical analysis of the concept of 'material point particle'. We argue that this concept is incompatible with the force laws of action-at-a-distance electrodynamics, and we suggest that the trajectory of a particle…

综合物理 · 物理学 2021-03-09 Calin Galeriu

We will display the fundamental structure of classical electrodynamics. Starting from the axioms of (1) electric charge conservation, (2) the existence of a Lorentz force density, and (3) magnetic flux conservation, we will derive Maxwell's…

经典物理 · 物理学 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

Despite the many successes of the relativistic quantum theory developed by Horwitz, et. al., certain difficulties persist in the associated covariant classical mechanics. In this paper, we explore these difficulties through an examination…

高能物理 - 理论 · 物理学 2009-10-30 M. C. Land

We outline a regular way for solving Maxwell's equations. We take, as the starting point, the notion of vector potentials. The rationale for introducing this notion in electrodynamics is that the set of Maxwell's equations is seemingly…

经典物理 · 物理学 2022-05-04 Andrew E Chubykalo , Augusto Espinoza , B P Kosyakov

The electromagnetic energy-momentum of a moving charged spherical capacitor may be calculated by a 4-vector Lorentz transformation from the energy in the rest frame. However, energy-momentum of the moving system computed directly from…

经典物理 · 物理学 2024-10-10 Ashok K. Singal

We provide new exact solutions to the Einstein-Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We utilise an equation of state which is…

广义相对论与量子宇宙学 · 物理学 2015-06-12 S. D. Maharaj , P. Mafa Takisa

It is shown that the total energy of the static "field + particle" system, defined in the framework of classical, renormalized electrodynamics of particles and fields, depends in an unstable way upon the field boundary data. It is argued…

经典物理 · 物理学 2007-05-23 Jerzy Kijowski , Marcin Koscielecki

A fully consistent classical relativistic electrodynamics with spinless point charges is constructed. The classical evolution of the electromagnetic fields is governed by the nonlinear Maxwell--Born--Infeld field equations, the classical…

数学物理 · 物理学 2009-11-10 Michael K. -H. Kiessling

A cornerstone of physics, Maxwell's theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and self-mass of an electron of finite extension do not obey Einstein's famous…

经典物理 · 物理学 2023-02-01 Murat Khokonov , Jens Ulrik Andersen

We consider the well-posedness of the initial value problem for Einstein-Maxwell theory modified by higher derivative effective field theory corrections. Field redefinitions can be used to bring the leading parity-symmetric 4-derivative…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Iain Davies , Harvey S. Reall

We revisit in the framework of the classical theory the problem of the accelerated motion of an electron, taking into account the effect of the radiation emission. We present results for the momentum and energy of the electromagnetic field…

经典物理 · 物理学 2018-11-21 Mihai Dondera

A procedure based on the semiclassical approximation for high energy levels is developed to yield solutions to the classical equation of charge motion and to the Bargmann-Michel-Telegdi spin equation. To this end, exact solutions to the…

数学物理 · 物理学 2017-08-10 V. A. Bordovitsyn , A. N. Myagkii

Starting from the experimental fact that a moving charge experiences the Lorentz force and applying the fundamental principles of simplicity (first order derivatives only) and linearity (superposition principle), we show that the structure…

经典物理 · 物理学 2016-05-27 Gerhard Diener , Jürgen Weissbarth , Frank Grossmann , Rüdiger Schmidt

A four-dimensional differential Euler-Lagrange equation for continuously distributed materials is derived based on the principle of least action, and instead of Lagrangian, this equation contains the Lagrangian density. This makes it…

综合物理 · 物理学 2024-05-02 Sergey G. Fedosin

We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the…

数学物理 · 物理学 2016-05-24 Sergey I. Kryuchkov , Nathan A. Lanfear , Sergei K. Suslov

In various astrophysics settings it is common to have a two-fluid relativistic plasma that interacts with the electromagnetic field. While it is common to ignore the displacement current in the ideal, classical magnetohydrodynamic limit,…

计算物理 · 物理学 2016-06-22 Dinshaw S. Balsara , Takanobu Amano , Sudip Garain , Jinho Kim

We show that a bound system in momentum space can be treated like a gas of free elementary constituents and a collective excitation of a background field which represents the countless quantum fluctuations generating the binding potential.…

高能物理 - 唯象学 · 物理学 2007-05-23 L. Micu

The coupled Maxwell-Lorentz system describes feed-back action of electromagnetic fields in classical electrodynamics. When applied to point-charge sources (viewed as limiting cases of charged fluids) the resulting nonlinear weakly…

偏微分方程分析 · 数学 2007-05-23 Guenther Hoermann , Michael Kunzinger

In this work, it is demonstrated that there is an additional origin of the electric potential energy of an electron orbiting a nuclei that can be, alternatively to that associated to the elementary `static' charge of the electron as…

综合物理 · 物理学 2023-03-02 Paulo Roberto Bueno

The regularized Maxwell theory is a recently discovered theory of non-linear electrodynamics that admits many important gravitating solutions within the Einstein theory. Namely, it was originally derived as the unique non-linear…

广义相对论与量子宇宙学 · 物理学 2023-08-01 Tomas Hale , David Kubiznak , Ota Svitek , Tayebeh Tahamtan