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We discuss the electromagnetic energy-momentum distribution and the mechanical forces of the electromagnetic field in material media. There is a long-standing controversy on these notions. The Minkowski and the Abraham energy-momentum…

Classical Physics · Physics 2009-11-10 Yuri N. Obukhov , Friedrich W. Hehl

We use Moeller's energy-momentum complex in order to explicitly evaluate the energy and momentum density distributions associated with the three-dimensional magnetic solution to the Einstein-Maxwell equations. The magnetic spacetime under…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Th. Grammenos

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

Including torsion in the geometric framework of the Weyl-Dirac theory we build up an action integral, and obtain from it a gauge covariant (in the Weyl sense) general relativistic massive electrodynamics. Photons having an arbitrary mass,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mark Israelit

Using the Finite Difference Time Domain method, we solve Maxwell's equations numerically and compute the distribution of electromagnetic fields and forces inside material media. The media are generally specified by their dielectric…

Optics · Physics 2013-08-19 Masud Mansuripur , Armis R. Zakharian , Ewan M. Wright

We propose a novel framework that interprets the electromagnetic field as a manifestation of spacetime pseudo-curvature, bridging electromagnetism with the geometric principles of general relativity. By introducing modified field equations,…

Classical Physics · Physics 2025-04-17 Faik Bouhrik , Tiju Thomas

The Lorentz force equations provide a partial description of the geodesic motion of a charged particle on a four-manifold. Under the hypothesis that Maxwell's equations express symmetry properties of the Ricci tensor, the full…

Mathematical Physics · Physics 2007-05-23 Michael A. Graber

The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained by employing a Hamilton-Jacobi analysis of the action functional. First, a surface stress-energy-momentum tensor is defined by the functional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. David Brown , James W. York

From the expression for the electromagnetic field in the neighborhood of a point charge we determine the rate of electromagnetic momentum flow, calculated using the Maxwell stress tensor, across a surface surrounding the charge. From that…

Classical Physics · Physics 2017-04-20 Ashok K. Singal

It is argued that static electric or magnetic fields induce Weyl-Majumdar-Papapetrou solutions for the metric of spacetime. Their gravitational acceleration includes a term many orders of magnitude stronger than usual perturbative terms. It…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. V. Ivanov

The basic concepts and mathematical constructions of the Maxwell--Lorentz electrodynamics in flat spacetime of an arbitrary even dimension $d=2n$ are briefly reviewed. We show that the retarded field strength ${\cal F}^{(2n)}_{\mu\nu}$ due…

High Energy Physics - Theory · Physics 2008-12-25 B. P. Kosyakov

The electromagnetic force on a polarizable particle is calculated in a covariant framework. Local equilibrium temperatures for the electromagnetic field and the particle's dipole moment are assumed, using a relativistic formulation of the…

Quantum Physics · Physics 2014-07-23 Gregor Pieplow , Carsten Henkel

Quasistatics is introduced so that it fits smoothly into the standard textbook presentation of electrodynamics. The usual path from statics to general electrodynamics is rather short and surprisingly simple. A closer look reveals however…

General Physics · Physics 2015-06-26 Jonas Larsson

It is known that solutions of Richardson equations can be represented as stationary points of the "energy" of classical free charges on the plane. We suggest to consider "probabilities" of the system of charges to occupy certain states in…

Superconductivity · Physics 2012-02-03 W. V. Pogosov

Classical electrodynamics can be based on the conservation laws of electric charge and magnetic flux. Both laws are independent of the metric and the linear connection of spacetime. Within the framework of such a premetric electrodynamics…

Classical Physics · Physics 2007-05-23 Friedrich W. Hehl , Yakov Itin , Yuri N. Obukhov

In the present paper it is shown that the Maxwell theory can be finely represented in the matrix form of Dirac's equation, if the Dirac wave function is identified with the electromagnetic wave by defined way. It seems to us, that such…

Quantum Physics · Physics 2007-05-23 Alexander G. Kyriakos

An alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes' thrust. In it, the gravitational field affects the physical standards of space and time,…

General Physics · Physics 2016-12-26 Mayeul Arminjon

The assumption is made that only transversely polarized photons are needed for a correct description of Quantum Electrodynamics. A simple mathematical transformation is used to introduce new field operators which satisfy the full Maxwell…

Mathematical Physics · Physics 2017-03-16 Jan Naudts

This article contains a digest of the theory of electromagnetism and a review of the transformation between inertial frames, especially under low speed limits. The covariant nature of the Maxwell's equations is explained using the…

Classical Physics · Physics 2022-05-03 Hao Chen , Wei E. I. Sha , Xi Dai , Yue Yu

We derive expressions for determination of the stress and the elastic constants in systems composed of particles interacting via non-central two-body potentials as thermal averages of products of first and second partial derivatives of the…

Statistical Mechanics · Physics 2009-11-11 Michael Murat , Yacov Kantor
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