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Using physical arguments, I derive the physically correct equations of motion for a classical charged particle from the Lorentz-Abraham-Dirac equations (LAD) which are well known to be physically incorrect. Since a charged particle can…

Classical Physics · Physics 2009-11-13 Fritz Rohrlich

We calculate the self-force of a constantly accelerating electric dipole, showing, in particular, that classical electromagnetism does not predict that an electric dipole could self-accelerate, nor could it levitate in a gravitational…

General Relativity and Quantum Cosmology · Physics 2015-10-13 Andrew M. Steane

We investigate the particle-antiparticle symmetry of the gravitationally coupled Dirac equation, both on the basis of the gravitational central-field problem and in general curved space-time backgrounds. First, we investigate the…

General Physics · Physics 2019-12-20 U. D. Jentschura

Einstein's equivalence principle in classical physics is a rule stating that the effect of gravitation is locally equivalent to the acceleration of an observer. The principle determines the motion of test particles uniquely (modulo very…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Andrzej Herdegen , Jaroslaw Wawrzycki

Sir Joseph LARMOR showed in 1897 that an oscillating electric charge emits radiation energy proportional to (acceleration)$^2$. At first sight,the result appears to be valid for arbitrary accelerations. But, perpetual uniform acceleration…

Physics Education · Physics 2007-05-23 K. H. Mariwalla , N. D. Hari Dass

In this work, we analyze a Lagrangian formalism recently proposed to approach the issue of the Abraham-Lorentz force. Instead of involving only position and velocity, as usual in Classical Mechanics, this Lagrangian involves the…

High Energy Physics - Theory · Physics 2015-04-21 Reinaldo de Melo e Souza , J. A. Helayël Neto

We consider a classical test particle subject to electromagnetic and gravitational fields, described by a Lagrangian depending on the acceleration and on a fundamental length. We associate to the particle a moving local reference frame and…

High Energy Physics - Theory · Physics 2009-11-11 M. Toller

The power radiated by a moving charge is given by Larmor's formula which can be derived by integrating the Li\'enard-Wiechert potential over the whole past history of the charge. However, extracting the same result from the…

Classical Physics · Physics 2016-10-11 Sofiane Faci , José A. Helayël-Neto

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-force (or radiation reaction) of an accelerated point-charge traveling in free space. In addition to…

Classical Physics · Physics 2019-02-11 Masud Mansuripur

Electron accelerations of the order of $10^{21} g$ obtained by laser fields open up the possibility of experimentally testing one of the cornerstones of general relativity, the weak equivalence principle, which states that the local effects…

General Relativity and Quantum Cosmology · Physics 2015-06-05 L. Á. Gergely , T. Harko

An unexpected prediction of classical electrodynamics is that a charge can accelerate before a force is applied. We would expect that a preaccelerated charge would radiate so that there would be spontaneous preradiation, an acausal…

Classical Physics · Physics 2009-11-13 Jose A. Heras

Gravitation, according to General Relativity, is an attribute of space-time's geometry and hence not a force in the Newtonian sense. This is a consequence of Einstein's equivalence principle, which so far passed all experimental tests with…

Popular Physics · Physics 2013-09-10 Domenico Giulini

A model for the dynamics of a classical point charged particle interacting with higher order jet fields is introduced. In this model, the dynamics of the charged particle is described by an implicit ordinary second order differential…

Mathematical Physics · Physics 2020-03-10 Ricardo Gallego Torromé

According to the general theory of relativity, kinetic energy contributes to gravitational mass. Surprisingly, the observational evidence for this prediction does not seem to be discussed in the literature. I reanalyze existing experimental…

General Relativity and Quantum Cosmology · Physics 2011-01-13 S. Carlip

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

Photon emission from a uniformly accelerated charge is among the most mysterious physical phenomena. Theories based on the Lorentz-Abraham-Dirac equation mostly conclude that a uniformly accelerated point charge cannot feel radiation…

Classical Physics · Physics 2021-07-02 Teyoun Kang , Adam Noble , Samuel R. Yoffe , Dino A. Jaroszynski , Min Sup Hur

A charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple steady-state situation of a charged particle…

Classical Physics · Physics 2023-08-02 Timothy H. Boyer

We study the effect of large acceleration of an uniformly accelerated frame on the validity of weak equivalence principle. Specifically we demonstrate how the behaviour of free quantum particle, as observed by an observer with large uniform…

Quantum Physics · Physics 2018-03-08 Sukanta Bhattacharyya , Sunandan Gangopadhyay , Anirban Saha

We investigate radiation-reaction effects for a charged scalar particle accelerated by an external potential realized as a space-dependent mass term in quantum electrodynamics. In particular, we calculate the position shift of the…

Quantum Physics · Physics 2014-11-18 Atsushi Higuchi

The problem of the self-interaction of a quasi-rigid classical particle with an arbitrary spherically symmetric charge distribution is completely solved up to the first order in the acceleration. No ad hoc assumptions are made. It is shown…

Classical Physics · Physics 2007-05-23 Rodrigo Medina