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A generalization of the classical electrodynamics for systems in absolute motion is presented using a possible alternative to the Lorentz transformation. The main hypothesis assumed in this work are: a) The inertial transformations relate…

General Physics · Physics 2015-06-26 Gabriel D. Puccini

We present a mechanism that allows to describe any nonlinear theory of Electrodynamics as a consequence of the coupling of the electromagnetic field to gravity in the presence of a vacuum represented by the cosmological constant. We…

General Relativity and Quantum Cosmology · Physics 2017-06-21 M. Novello , C. E. L. Ducap

In a recent work we have proven the existence of degenerate solutions to the Dirac equation, corresponding to an infinite number of different electromagnetic fields, providing also some examples regarding massless particles. In the present…

Carter derived the forms of the metric and the vector potentials of the space-times in which the relativistic Schrodinger equation for the motion of a charged particle separates. Here we show that on each `spheroidal' surface a rotation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Donald Lynden-Bell

We derive the radiation reaction by taking into account that the acceleration of the charge is caused by the interaction with some heavy source particle. In the non relativistic case this leads, in contrast to the usual approach,…

Classical Physics · Physics 2014-03-20 Dieter Gromes , Eduard Thommes

We derive the Abraham-Lorentz-Dirac (ALD) equation in the framework of the electrodynamic theory associated with Stueckelberg manifestly covariant canonical mechanics. In this framework, a particle worldline is traced out through the…

General Physics · Physics 2016-04-22 Martin Land

At electromagnetic interactions of particles there arises defect of masses, i.e. the energy is liberated since the particles of the different charges are attracted. It is shown that this change of the effective mass of a particle in the…

Quantum Physics · Physics 2007-05-23 Kh. M. Beshtoev

We present a kind of model of quantum electrodynamics with nonlocal interaction, all the action and the equations of motion of charged particle and electromagnetic field are given. The main characteristics of the theory are: the model obeys…

High Energy Physics - Theory · Physics 2011-06-08 T. Mei

We present equations of motion for charged particles using balanced equations, and without introducing explicitly divergent quantities. This derivation contains as particular cases some well known equations of motion, as the Lorentz-Dirac…

General Relativity and Quantum Cosmology · Physics 2012-03-08 Emanuel Gallo , Osvaldo M. Moreschi

LaTeX transcription (2025) of a 1989 honours thesis (University of Adelaide) on point charges in classical electrodynamics and the Lorentz-Dirac radiation-reaction equation. The thesis reviews the retarded field of an arbitrarily moving…

Classical Physics · Physics 2025-12-23 Jonathan Baxter

It is widely believed that the large redshifts for distant supernovae are explained by the vacuum energy dominance, or, in other words, by the cosmological constant in Einstein's equations, which is responsible for the anti-gravitation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. P. Kosyakov

The article describes a relation between the fundamental solutions of Dirac's equations for free electron and electron in given electromagnetic field viewed as functionals on bump functions. We explain how classical relativistic mechanics…

Mathematical Physics · Physics 2015-06-15 A. A. Beilinson

In this paper we study the non-relativistic dynamic of a charged particle in the electromagnetic field induced by a periodically time dependent current J along an infinitely long and infinitely thin straight wire. The motions are described…

Mathematical Physics · Physics 2022-07-27 Manuel Garzón , Stefano Marò

During the past century, there has been considerable discussion and analysis of the motion of a point charge, taking into account "self-force" effects due to the particle's own electromagnetic field. We analyze the issue of "particle…

General Relativity and Quantum Cosmology · Physics 2009-08-12 Samuel E. Gralla , Abraham I. Harte , Robert M. Wald

We consider a certain extension of the Einstein's elevator thought experiment by assuming that the elevator is charged and falls into an electromagnetic field. We argue, on grounds of the Equivalence Principle, that an observer-dependent…

General Physics · Physics 2018-02-20 Maciej Trzetrzelewski

The reduction of the three-dimensional classical electromagnetism is performed in a twofold way. In the first case the ordinary two-dimensional electromagnetism is obtained with sources in the form of conserved electric currents flowing…

Classical Physics · Physics 2019-05-01 Tomasz Radozycki

We obtain the fields and electromagnetic self-force of a charge distributed on the surface of a sphere undergoing rigid motion at constant proper acceleration, where the charge distribution has axial symmetry about the direction of motion.…

Classical Physics · Physics 2018-09-28 Andrew Steane

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

Classical Physics · Physics 2014-09-18 Masud Mansuripur

We show that the problem of unifying electromagnetism with gravity has an elegant solution in classical physics through the phenomenon of induction. By studying the way that induction leads to the formation of electromagnetic fields, we…

General Physics · Physics 2007-05-23 A. I. A. Adewole

This review is concerned with the motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime. In each of the three cases the particle produces a field that behaves as outgoing radiation in…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Eric Poisson
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