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The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Roland A. Puntigam , Claus Lämmerzahl , Friedrich W. Hehl

Study of magnetic monopoles in the original version of Born-Infeld (BI) electrodynamics is performed. It then is realized that interesting new physics emerge and they include exotic behavior of radial electric monopole field such as its…

High Energy Physics - Theory · Physics 2009-10-31 Hongsu Kim

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

Starting with the usual definitions of octonions and split octonions in terms of Zorn vector matrix realization, we have made an attempt to write the consistent form of generalized Maxwell's equations in presence of electric and magnetic…

General Physics · Physics 2011-07-08 B. C. Chanyal , P. S. Bisht , O. P. S. Negi

Despite the fact that the integral form of the equations of classical electrodynamics is well known, the same is not true for non-abelian gauge theories. The aim of the present paper is threefold. First, we present the integral form of the…

High Energy Physics - Theory · Physics 2013-05-30 L. A. Ferreira , G. Luchini

The effect of non-commutativity on electromagnetic waves violates Lorentz invariance: in the presence of a background magnetic induction field b, the velocity for propagation transverse to b differs from c, while propagation along b is…

High Energy Physics - Theory · Physics 2009-11-07 Z. Guralnik , R. Jackiw , S. Y. Pi , A. P. Polychronakos

The construction of an alternative electromagnetic theory that preserves Lorentz and gauge symmetries, is considered. We start off by building up Maxwell electrodynamics in (3+1)D from the assumption that the associated Lagrangian is a…

High Energy Physics - Theory · Physics 2015-05-19 M. V. S. Fonseca , A. A. Vargas-Paredes

We revisit electric and magnetic surface charges and edge modes in four-dimensional Maxwell theory and QED on a spacetime with a finite spatial boundary. Using the S-wall, which implements electromagnetic duality, we clarify the dual…

High Energy Physics - Theory · Physics 2026-05-28 Keito Shimizu , Sotaro Sugishita

Dirac's quantization of the Maxwell theory on non-commutative spaces has been considered. First class constraints were found which are the same as in classical electrodynamics. The gauge covariant quantization of the non-linear equations of…

Quantum Physics · Physics 2007-05-23 S. I. Kruglov

This thesis is divided in two parts. The first part contains the study of some properties of the electromagnetic duality in 4 dimensions. An extended double potential formalism for linearized gravity is introduced which allows to write an…

High Energy Physics - Theory · Physics 2013-12-23 Cedric Troessaert

Some mathematical inconsistencies in the conventional form of Maxwell's equations extended by Lorentz for a single charge system are discussed. To surmount these in framework of Maxwellian theory, a novel convection displacement current is…

High Energy Physics - Theory · Physics 2015-06-26 Andrew E. Chubykalo , Roman Smirnov-Rueda

In the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of…

High Energy Physics - Theory · Physics 2009-05-12 Glenn Barnich , Cedric Troessaert

After reaffirming that the macroscopic dipolar electromagnetic equations, which today are commonly referred to as Maxwell's equations, are found in Maxwell's Treatise, we explain from his Treatise that Maxwell defined his displacement…

Classical Physics · Physics 2020-01-07 Arthur D. Yaghjian

This paper applies the isotopic field-charge spin theory (Darvas, IJTP 2011) to the electromagnetic interaction. First there is derived a modified Dirac equation in the presence of a velocity dependent gauge field and isotopic field charges…

General Physics · Physics 2018-09-13 György Darvas

A Weyl invariant extension of Einstein gravity is studied. It simply consists in the group averaging of Einstein's action under Weyl transformations. Contradicting cherished beliefs, a conformal anomaly is found in the trace of the…

High Energy Physics - Theory · Physics 2013-11-14 Enrique Alvarez , Mario Herrero-Valea

A general approach is presented to describing nonlinear classical Maxwell electrodynamics with conformal symmetry. We introduce generalized nonlinear constitutive equations, expressed in terms of constitutive tensors dependent on…

High Energy Physics - Theory · Physics 2020-01-29 Steven Duplij , Gerald A. Goldin , Vladimir M. Shtelen

We extend an axiomatic approach to classical electrodynamics, which we developed recently, to the case of non-vanishing magnetic charge. Then two axioms, namely those of the existence of the Lorentz force (Axiom 2) and of magnetic flux…

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

Despite the intrinsic coupling between electric and magnetic fields in random stationary light, their polarization properties are not mutually determined. A complete second-order description thus necessitates a joint electromagnetic…

New Lagrangians, depending on the field strengths and the electric and magnetic sources are found, which lead to the Maxwell equations. One new feature is that the equations of motion are obtained by varying the Lagrangian with respect to…

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

We study quantum electrodynamics on the noncommutative Minkowski space in the Yang-Feldman formalism. Local observables are defined by using covariant coordinates. We compute the two-point function of the interacting field strength to…

High Energy Physics - Theory · Physics 2010-12-23 Jochen Zahn