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We revisit the classical theory of a relativistic massless charged point particle with spin and interacting with an external electromagnetic field. In particular, we give a proper definition of its kinetic energy and its total energy, the…

High Energy Physics - Theory · Physics 2017-12-27 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

A relativistic version of the correspondence principle, a limit in which classical electrodynamics may be derived from QED, has never been clear, especially when including gravitational mass. Here we introduce a novel classical field theory…

General Physics · Physics 2023-10-02 Adam Marsh

The exact equations of motion for microscopic density of classical particles number with account of inter-particle interactions and external field in closed form are derived. An integral equation for equilibrium distributions of the…

Statistical Mechanics · Physics 2014-07-18 A. Yu. Zakharov

The quest for the value of the electron's atomic mass has been subject of continuing efforts over the last decades. Among the seemingly fundamental constants which parameterize the Standard Model (SM) of physics and which are thus…

We study numerically gravitational collapse of a spherically symmetric instanton particle in five dimensions. We show that the late stages of the process are characterized by a nearly constant ``free energy'', the value of which matches…

High Energy Physics - Theory · Physics 2008-11-26 Z. Gecse , S. Khlebnikov

The effective Lagrangian of a point charge is derived by eliminating the electromagnetic field within the framework of the classical closed time path formalism. The short distance singularity of the electromagnetic field is regulated by an…

High Energy Physics - Theory · Physics 2015-06-15 Janos Polonyi

Electromagnetism is the energy originating from an electric charge. Our purpose is to enlarge Maxwell. Include the charge transfer phenomenology. A four bosons electromagnetism is derived. An EM completeness is achieved. The charge's set…

General Physics · Physics 2022-06-01 R. Doria , L. S. Mendes

A renormalization scheme which relies on energy-momentum and angular momentum balance equations is applied to the derivation of effective equation of motion for a massless point-like charge. Unlike the massive case, the rates of radiated…

Mathematical Physics · Physics 2009-07-22 Yurij Yaremko

The change of the electromagnetic field in a particular place due to the event of a change in the motion of a charged particle can occur only after the light signal from the event can reach this place. Naive calculations of the…

Classical Physics · Physics 2009-11-07 Amnon Kislev , Lev Vaidman

The classic image problem in electromagnetism involves a grounded infinite conducting plane and a point charge. The force of attraction between the point charge and the plane is identified using an equivalent-field picture of an image…

Classical Physics · Physics 2015-05-18 Kevin L. Haglin

One can get the impression from the Reissner-Nordstrom solution of Einstein's equations that the charge of a body reduces its gravitational field. This looks surprising since the energy of the electrostatic field surrounding a charged body,…

General Relativity and Quantum Cosmology · Physics 2010-06-03 V. Hushwater

A class of exact conformastatic solutions of the Einstein-Maxwell field equations is presented in which the gravitational and electromagnetic potentials are completely determined by a harmonic function. We derive the equations of motion for…

General Relativity and Quantum Cosmology · Physics 2016-06-08 Antonio C. Gutiérrez-Piñeres , Abraão J. S. Capistrano , Hernando Quevedo

It is shown that in non-linear electrodynamics (in particular, Born-Infeld one) in the framework of general relativity there exist "weakly singular" configurations such that (i) the proper mass M is finite in spite of divergences of the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 O. B. Zaslavskii

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly derived from that fact. By contrast, in Newtonian mechanics…

Classical Physics · Physics 2015-05-30 Anatoli Babin , Alexander Figotin

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 consider two point charges in electrostatic interaction between them within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We argue that if the two charges are equal to each other…

High Energy Physics - Theory · Physics 2016-11-22 A. I. Breev , A. E. Shabad

In this paper the nonperturbative analysis of the spectrum for one-particle excitations of the electron-positron field (EPF) is considered in the paper. A standard form of the quantum electrodynamics (QED) is used but the charge of the…

High Energy Physics - Theory · Physics 2007-05-23 I. D. Feranchuk

In this article one aspect of the so-called '4/3-problem' is analyzed, namely definitions of the electromagnetic mass of the classical electron. It is shown that if the special relativity definition of the electromagnetic (EM) mass as the…

General Physics · Physics 2024-06-03 Vladimir Onoochin

Previously we conjectured that extremely high Electromagnetic (EM) fields in a vacuum generate a gravitational field that causes Maxwell's equations to no longer be linear. This results in a "4-force" in the field configuration space, also…

General Physics · Physics 2023-12-12 Pierre Marx

For smooth solutions to Maxwell's equations sourced by a smooth charge-current distribution $j_a$ in stationary, asymptotically flat spacetimes, one can prove an energy conservation theorem which asserts the vanishing of the sum of (i) the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Theodore C. Quinn , Robert M. Wald
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