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Many papers have been published over the years that either conjecture or even (claim to) prove the universality of the form of Maxwell's equations. We present yet another derivation of Maxwell's equations and discuss the conclusions…

Classical Physics · Physics 2025-01-24 C. Baumgarten

Maxwell equations (Faraday and Ampere-Maxwell laws) can be presented as a three component equation in a way similar to the two component neutrino equation. However, in this case, the electric and magnetic Gauss's laws can not be derived…

Quantum Physics · Physics 2007-05-23 A. Gersten

We continue the discussion of several explicit examples of generalizations in relativistic quantum mechanics. We discussed the generalized spin-1/2 equations for neutrinos and the spin-1 equations for photon. The equations obtained by means…

Mathematical Physics · Physics 2018-11-01 Valeriy V. Dvoeglazov

The generalized Maxwell equations are considered which include an additional gradient term. Such equations describe massless particles possessing spins one and zero. We find and investigate the matrix formulation of the first order of…

Mathematical Physics · Physics 2011-07-19 S. I. Kruglov

H. Akbar-Zadeh has recently proposed (J Geom Phys 17 (1995) 342) a new geometric formulation of Einstein-Maxwell system with source in terms of what are called "Generalized Einstein manifolds". We show that, contrary to the claim, Maxwell…

General Relativity and Quantum Cosmology · Physics 2011-07-04 M. Panahi , M. Mehrafarin

It is shown that Feynman's derivation of Maxwell equations admits a generalization to the case of extra spatial dimensions. The generalization is unique and is only possible in seven dimensional space.

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. K. Silagadze

Gersten has shown how Maxwell equations can be derived from first principles, similar to those which have been used to obtain the Dirac relativistic electron equation. We show how Proca equations can be also deduced from first principles,…

Quantum Physics · Physics 2015-05-13 Michel Gondran

Using equations of motion with the anisotropic dissipative term for quantum particle and quantum-mechanical commutation rules, the general Maxwell-type differential equations are derived. The direct modifications of the well-known Maxwell…

Classical Physics · Physics 2019-01-16 A. V. Khugaev , G. G. Adamian , N. V. Antonenko

The two postulates of special relativity plus the postulates of conserved charges, both electric and magnetic, and a resulting linear system are sufficient for the derivation of the generalized vacuum Maxwell equations with both charges.…

General Physics · Physics 2013-05-15 Chun Wa Wong

The covariant formulation of Maxwell's equations can be expressed in a form independent of the usual systems of units by introducing the constants alpha, beta and gamma into these equations. Maxwell's equations involving these constants are…

Classical Physics · Physics 2009-01-05 Jose A. Heras , G. Baez

We present a reformulation of Mawxell's equation and examine the consequence of this new formulation. We argue that studies of such diverse topics as magnetic monopole, magnetic recombination and magneto-genesis could benefit from the new…

High Energy Astrophysical Phenomena · Physics 2016-04-04 Bob Osano

We generalize Maxwell equations which describe the vacuum of quantum electrodynamics into the quantum form. This nontraditional approach is different from the widely used theory|-Quantum Electrodynamics. From another viewpoint, it could be…

General Physics · Physics 2010-04-27 Y. Chen , F. L. Zhang , J. L. Chen

This paper replies the comment by E. Kapuscik [Am. J. Phys. 77, 754 (2009)]

Classical Physics · Physics 2009-12-31 Jose A. Heras

After a brief summary of the foundations of general relativity, we will concentrate on the stationary exact solutions of the Einstein and Einstein-Maxwell equations. A number of these solutions can be interpreted as black holes,…

General Relativity and Quantum Cosmology · Physics 2011-09-06 Gérard Clément

We propose a very simple but general method to construct solutions of Maxwell equations propagating with a group velocity $v_{gr} \neq c$. Applications to wave guides and a possible description of the known experimental evidences on…

Classical Physics · Physics 2009-10-30 S. Esposito

In the recent decades, it became more and more popular for engineers, physicists, and mathematicians alike to put the Maxwell equations into a generally covariant form. This is particularly useful for understanding the fundamental structure…

Classical Physics · Physics 2016-03-29 Friedrich W. Hehl , Yakov Itin , Yuri N. Obukhov

For research in the field of transformation optics and for the calculation of optically inhomogeneous lenses the method of geometrization of the Maxwell equations seems to be perspective. The basic idea is to transform the coefficients of…

Mathematical Physics · Physics 2014-02-25 D. S. Kulyabov , A. V. Korolkova , L. A. Sevastyanov

In this article we have illustrated how is possible to formulate Maxwell's equations in vacuum in an independent form of the usual systems of units. Maxwell's equations, are then specialized to the most commonly used systems of units:…

Classical Physics · Physics 2019-07-02 Francesco Ferdinando Summa

In curved spacetime, Maxwell's equations can be expressed in forms valid in Minkowski background, with the effect of the metric (gravity) appearing as effective polarizations and magnetizations. The electric and magnetic (EM) fields depend…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Jai-chan Hwang , Hyerim Noh

The paper formulates Maxwell's equations in 4-dimensional Euclidean space by embedding the electromagnetic vector potential in the frame vector $g_0$. Relativistic electrodynamics is the first problem tackled; in spite of using a geometry…

General Physics · Physics 2007-05-23 Jose B. Almeida
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