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We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling $\tau$ via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the…

High Energy Physics - Theory · Physics 2025-06-05 Elise Paznokas

A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. B. Balakin

In d=4 de Sitter space, novel conformally invariant photon-like theories consistently couple to charged matter. We show that these higher spin, maximal depth, partially massless systems enjoy a Maxwellian, "electric-magnetic" duality.

High Energy Physics - Theory · Physics 2013-06-13 S. Deser , A. Waldron

In null electromagnetic fields the electric and the magnetic field lines evolve like unbreakable elastic filaments in a fluid flow. In particular, their topology is preserved for all time. We prove that for every link $L$ there is such an…

Mathematical Physics · Physics 2021-10-13 Benjamin Bode

Issuing from a geometry with nonmetricity and torsion we build up a classical theory of gravitation and electromagnetism. The theory is coordinate covariant as well Weyl-gauge covariant. Massless and massive photons, intrinsic electr. and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Israelit

We formulate a covariant version of Maxwell-like fracton electrodynamics in six dimensions using a symmetric tensor gauge field with scalar gauge symmetry $\delta A_{\mu\nu}=\partial_\mu\partial_\nu\Lambda$. This provides a relativistic…

High Energy Physics - Theory · Physics 2026-04-20 Nicola Maggiore

All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a ``reverse Born-Infeld'' case, which has a limit to Plebanski, and an…

High Energy Physics - Theory · Physics 2023-02-01 Jorge G. Russo , Paul K. Townsend

Dual electrodynamics and corresponding Maxwell's equations (in the presence of monopole only) are revisited from dual symmetry and accordingly the quaternionic reformulation of field equations and equation of motion is developed in simple,…

High Energy Physics - Theory · Physics 2008-12-18 P. S. Bisht , O. P. S. Negi

A new relativistic invariant version of nonlinear Maxwell equations is offerred. Some properties of these equations are considered.

Classical Physics · Physics 2015-06-26 G. A. Kotel'nikov

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

The generalized Maxwell equations with arbitrary gauge parameter are considered in the $11\times 11$-matrix form. The gauge invariance of such a model is broken due to the presence of a scalar field. The canonical and symmetrical Belinfante…

High Energy Physics - Theory · Physics 2012-02-22 S. I. Kruglov

We study planar non-topological solitons in models with nonlinear potentials that are bounded from below. These models provide consistent completion for the classical consideration at any energy scale. The properties of our solutions…

High Energy Physics - Theory · Physics 2025-11-21 Yulia Galushkina , Eduard Kim , Emin Nugaev , Yakov Shnir

We introduce an effective action for non-dissipative magnetohydrodynamics. A crucial guiding principle is the generalized global symmetry of electrodynamics, which naturally leads to introducing a "dual photon" as the degree of freedom…

High Energy Physics - Theory · Physics 2018-11-13 Paolo Glorioso , Dam Thanh Son

The class of static solutions found by Gibbons and Wells for dilaton-electrodynamics in flat spacetime, which describe nontopological strings and walls that trap magnetic flux, is extended to a class of dynamical solutions supporting…

High Energy Physics - Theory · Physics 2009-11-11 John Morris

Starting from the experimental fact that a moving charge experiences the Lorentz force and applying the fundamental principles of simplicity (first order derivatives only) and linearity (superposition principle), we show that the structure…

Classical Physics · Physics 2016-05-27 Gerhard Diener , Jürgen Weissbarth , Frank Grossmann , Rüdiger Schmidt

YES! We introduce a variable power Maxwell nonlinear electrodynamics theory which can remove the singularity of electric field of point-like charges at their locations. One of the main problems of Maxwell's electromagnetic field theory is…

Classical Physics · Physics 2021-07-22 Behzad Eslam Panah

This paper aims to present the pure field part of the newly developed nonlinear {\it Extended Electrodynamics} [1]-[3] in non-relativistic terms, i.e. in terms of the electric and magnetic vector fields (${\mathbf E},{\mathbf B}$), and to…

Optics · Physics 2007-05-23 S. Donev , D. Trifonov

We find a universal SO(2) symmetry of a p-form Maxwell theory for both odd and even p. For odd p it corresponds to the duality rotations but for even p it defines a new set of transformations which is not related to duality rotations. In…

High Energy Physics - Theory · Physics 2007-05-23 D. Chruscinski

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 establish a new self-consistent system of equations for the gravitational and electromagnetic fields. The procedure is based on a non-minimal non-linear extension of the standard Einstein-Hilbert-Maxwell action. General properties of a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander B. Balakin , José P. S. Lemos