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Related papers: A Rigorous Derivation of Electromagnetic Self-forc…

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There is general agreement that the MiSaTaQuWa equations should describe the motion of a "small body" in general relativity, taking into account the leading order self-force effects. However, previous derivations of these equations have…

General Relativity and Quantum Cosmology · Physics 2011-06-30 Samuel E. Gralla , Robert M. Wald

It is shown that a well-defined expression for the total electromagnetic force $f^{em}$ on a point charge source of the classical electromagnetic field can be extracted from the postulate of total momentum conservation whenever the…

Classical Physics · Physics 2020-05-04 Michael K. -H. Kiessling

In classical electrodynamics, an accelerating charged body emits radiation and experiences a corresponding radiation-reaction force, or self force. We extend to higher order in the total charge a previous rigorous derivation of the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Jordan Moxon , Éanna Flanagan

We discuss, in the context of classical electrodynamics with a Lorentz invariant cut-off at short distances, the self-force acting on a point charged particle. It follows that the electromagnetic mass of the point charge occurs in the…

Classical Physics · Physics 2007-05-23 Josif Frenkel , R B Santos

The problem of determining the electromagnetic and gravitational ``self-force'' on a particle in a curved spacetime is investigated using an axiomatic approach. In the electromagnetic case, our key postulate is a ``comparison axiom'', which…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Theodore C. Quinn , Robert M. Wald

We show that it is possible to obtain self-consistent and physically acceptable relativistic classical equations of motion for a point-like spin-half particle possessing an electric charge and a magnetic dipole moment, directly from a…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Costella , Bruce H. J. McKellar

The theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no such thing as a true point-particle, it is…

Classical Physics · Physics 2026-03-19 Andrew T. Hyman

In the classical vacuum Maxwell-Lorentz theory the self-force of a charged point particle is infinite. This makes classical mass renormalization necessary and, in the special relativistic domain, leads to the Abraham-Lorentz-Dirac equation…

General Relativity and Quantum Cosmology · Physics 2015-10-12 Jonathan Gratus , Volker Perlick , Robin W. Tucker

In this paper, we study the bulk motion of a classical extended charge in flat spacetime. A formalism developed by W. G. Dixon is used to determine how the details of such a particle's internal structure influence its equations of motion.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abraham I. Harte

The analysis of the EM radiation from a single charge shows that the radiated power depends on the retarded acceleration of the charge. Therefore, for consistency, an accelerated charge, free from the influence of external forces, should…

Accelerator Physics · Physics 2015-06-26 Reuven Ianconescu , L. P. Horwitz

The self-force problem---which asks how self-interaction affects a body's motion---has been poorly studied for spacetime dimensions $d \neq 4$. We remedy this for all $d \geq 3$ by nonperturbatively constructing momenta such that forces and…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Abraham I. Harte , Peter Taylor , Éanna É. Flanagan

The Maxwell electromagnetic and the Lorentz type force equations are derived in the framework of the R. Feynman proper time paradigm and the related vacuum field theory approach. The electron inertia problem is analyzed within the…

Classical Physics · Physics 2015-11-03 Anatolij K. Prykarpatsky , Nikolai N. Bogolubov

We analyze the issue of ``particle motion'' in general relativity in a systematic and rigorous way by considering a one-parameter family of metrics corresponding to having a body (or black hole) that is ``scaled down'' to zero size and mass…

General Relativity and Quantum Cosmology · Physics 2009-07-03 Samuel E. Gralla , Robert M. Wald

Building upon previous results in scalar field theory, a formalism is developed that uses generalized Killing fields to understand the behavior of extended charges interacting with their own electromagnetic fields. New notions of effective…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Abraham I. Harte

The electromagnetic self-force of a point charge moving arbitrarily on a rectilinear trajectory is calculated by averaging its retarded electric self-field over a sphere of infinitesimal radius centered on the charge's present position. The…

Classical Physics · Physics 2021-07-14 V. Hnizdo , G. Vaman

The problems of Classical Electrodynamics with the electron equation of motion and with non-integrable singularity of its self-field stress tensor are well known. They are consequences, we show, of neglecting terms that are null off the…

High Energy Physics - Theory · Physics 2016-09-06 Manoelito M. de Souza

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the…

High Energy Physics - Theory · Physics 2015-06-18 Francesco Azzurli , Kurt Lechner

We provide a quantum field theoretical derivation of the Abraham-Lorentz-Dirac (ALD) equation, describing the motion of an electric point charge sourcing an electromagnetic field, which back-reacts on the charge as a self-force, and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chad R. Galley , B. L. Hu , Shih-Yuin Lin

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…

Classical Physics · Physics 2023-02-01 Murat Khokonov , Jens Ulrik Andersen

A fully relativistically covariant formulation of the classical Maxwell electrodynamics of an arbitrarily-moving point charge is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. A new,…

Classical Physics · Physics 2019-05-21 Anarya Ray , Parthasarathi Majumdar , Zahid Ansari
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