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A true energy-momentum tensor is unique and does not admit an addition of a term. The true electrodynamics' energy-momentum tensor is the Maxwell-Minkowski tensor. It cannot be got with the Lagrange formalism. The canonical energy-momentum…

Classical Physics · Physics 2007-05-23 R. I. Khrapko

By requiring the linear differential operator in Newton's law of motion to be self adjoint, we obtain the field equation for the linear theory, which is the classical electrodynamics. In the process, we are also led to a fundamental…

General Relativity and Quantum Cosmology · Physics 2011-09-13 Parampreet Singh , Naresh Dadhich

It is proved that, according to Classical Mechanics and Electrodynamics, the trajectory of the center of mass of a neutral system of electrical charges can be deflected by an inhomogeneous magnetic field, even if its internal angular…

Quantum Physics · Physics 2007-05-23 O. Chavoya-Aceves

In the classical theory, an electromagnetic field obeying Maxwell's equations cannot be absorbed quickly by matter, so that it remains a zero point field. Splitting the total, genuine electromagnetic field into the sum of a conventional…

Optics · Physics 2007-05-23 Jacques Moret-Bailly

In the present article, we discuss a modification of classical electrodynamics in which ``ordinary'' point charges are absent. The modified equations contain additional terms describing the induced charges and currents. The densities of the…

Classical Physics · Physics 2009-11-13 A. V. Fedorov , E. G. Kalashnikov

We show that a large class of null electromagnetic fields are immune to any modifications of Maxwell's equations in the form of arbitrary powers and derivatives of the field strength. These are thus exact solutions to virtually any…

High Energy Physics - Theory · Physics 2018-03-09 Marcello Ortaggio , Vojtěch Pravda

A simple mathematical procedure is introduced which allows redefining in an exact way divergent integrals and limits that appear in the basic equations of classical electrodynamics with point charges. In this way all divergences are at once…

Classical Physics · Physics 2015-06-26 Massimo Marino

In an exact quantum-mechanical framework, we show that expectation values of the second-quantized electro-magnetic fields in the Coulomb gauge, and in the presence of classical sources, automatically lead to causal and retarded…

Quantum Physics · Physics 2019-04-02 Bo-Sture K. Skagerstam , Karl-Erik Eriksson , Per K. Rekdal

Problems of self-interaction arise in both classical and quantum field theories. To understand how such problems are to be addressed in a quantum theory of the Dirac and electromagnetic fields (quantum electrodynamics), we can start by…

Quantum Physics · Physics 2024-07-01 Charles T. Sebens

The classical electrodynamic system of field and a single point-like source is considered in even-dimensional space-time. The problem of self-interaction is discussed. It is manifestly shown that all singular terms appearing in these…

High Energy Physics - Theory · Physics 2008-11-26 D. Galakhov

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. M. Woodside

In this and companion papers, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the quantization of electromagnetism permits the…

High Energy Physics - Theory · Physics 2023-07-19 David E. Kaplan , Tom Melia , Surjeet Rajendran

Maxwell's equations cannot describe a homogeneous and isotropic universe with a uniformly distributed net charge, because the electromagnetic field tensor in such a universe must be vanishing everywhere. For a closed universe with a nonzero…

General Relativity and Quantum Cosmology · Physics 2016-03-01 Li-Xin Li

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

Attention has been recently called upon the fact that the weak and null energy conditions and the second law of thermodynamics are violated in wormhole solutions of Einstein's theory with classical, nonminimally coupled, scalar fields as…

High Energy Physics - Theory · Physics 2009-11-07 S. Bellucci , V. Faraoni

We review the modern classical electrodynamics problems and present the related main fundamental principles characterizing the electrodynamical vacuum-field structure. We analyze the models of the vacuum field medium and charged point…

Mathematical Physics · Physics 2015-11-03 Nikolai N. Bogolubov , Denis Blackmore , Anatolij K. Prykarpatsky

This paper summarizes the motivations and results obtained so far in the frame of a particular non-linearization of Classical Electrodynamics, which was called Extended Electrodynamics. The main purpose pursued with this non-linear…

patt-sol · Physics 2007-05-23 Stoil Donev

We show that in the Maxwell-Lorentz theory of classical electrodynamics most initial values for fields and particles lead to an ill-defined dynamics, as they exhibit singularities or discontinuities along light-cones. This phenomenon…

History and Philosophy of Physics · Physics 2018-09-25 Vera Hartenstein , Mario Hubert

We take as starting point the planar model arising from the dimensional reduction of the Maxwell Electrodynamics with the (Lorentz-violating) Carroll-Field-Jackiw term. We then write and study the extended Maxwell equations and the…

High Energy Physics - Theory · Physics 2016-08-16 H. Belich , M. M. Ferreira , J. A. Helayël-Neto , M. T. D. Orlando

We discuss the mapping of the conservative part of two-body electrodynamics onto that of a test charged particle moving in some external electromagnetic field, taking into account recoil effects and relativistic corrections up to second…

High Energy Physics - Theory · Physics 2009-10-31 Alessandra Buonanno