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Related papers: Duality Symmetric Electrodynamics in Curved Spacet…

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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

We discuss under what conditions the duality between electric and magnetic fields is a valid symmetry of macroscopic quantum electrodynamics. It is shown that Maxwell's equations in the absence of free charges satisfy duality invariance on…

Quantum Physics · Physics 2009-12-14 Stefan Yoshi Buhmann , Stefan Scheel

Defining the electric and magnetic field vectors in curved spacetime requires a proper choice of the observer's frame four-vector. Related literature shows that this fundamental issue in physics still needs to be properly resolved. In…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Jai-chan Hwang , Hyerim Noh

The problem of unification of Gravitation and Electromagnetism in four dimensions; some new ideas involving mixtures of commuting and anti-commuting co-ordinates. Maxwell's equations are extracted in terms of the curvature of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G Filewood

It has been found, that free electromagnetic (EM) field in restricted volume (typical experimental case) consists of two independent and equally possible components with different parity under spatial inversion transformations. Either of…

Quantum Physics · Physics 2009-11-09 A. Dovlatova , D. Yearchuck , Y. Yerchak , A. Alexandrov

The fundamental metrics, which describe any static three-dimensional Einstein-Maxwell spacetime (depending only on a unique spacelike coordinate), are found. In this case there are only three independent components of the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mauricio Cataldo

We present the basic prerequisites of electromagnetism in flat spacetime and provide the description of electromagnetism in terms of the Faraday tensor. We generalise electromagnetic theory to a general relativistic setting, introducing the…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Cameron R. D. Bunney , Gabriele Gradoni

It is well known that the source-free Maxwell equations are invariant under electric-magnetic duality rotations, F --> F cos {\theta} + *F sin {\theta}. These transformations are indeed a symmetry of the theory in Noether sense. The…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Ivan Agullo , Adrian del Rio , Jose Navarro-Salas

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

We point out that the duality symmetry of free electromagnetism does not hold in the quantum theory if an arbitrary classical gravitational background is present. The symmetry breaks in the process of renormalization, as also happens with…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Ivan Agullo , Aitor Landete , Jose Navarro-Salas

Maxwell Electrodynamics can be described either in Minkowski space-time or in a dynamically equivalent way in a curved geometry constructed in terms of the electromagnetic field. For this the field must have a superior bound limited by a…

General Relativity and Quantum Cosmology · Physics 2016-11-18 M. Novello , C. E. L. Ducap

Two field 2-forms on the space-time manifold, in a relationship of duality, are presented and included in the extended phase-space structure used to describe relativistic particles having both electric and magnetic charges. By exterior…

Mathematical Physics · Physics 2010-11-30 M. Grigorescu

In this letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave…

High Energy Physics - Theory · Physics 2009-11-11 E. M. C. Abreu , C. Pinheiro , S. A. Diniz , F. C. Khanna

An outline is given of recent work concerning the electromagnetic duality properties of Maxwell theory on curved space-times with or without spin structures.

High Energy Physics - Theory · Physics 2007-05-23 David I Olive

In this paper, we discuss the Maxwell equations in terms of differential forms, both in the 3-dimensional space and in the 4-dimensional space-time manifold. Further, we view the classical electrodynamics as the curvature of a line bundle,…

Mathematical Physics · Physics 2011-12-06 Shenghua Du , Cheng Hao , Yueke Hu , Yuming Hui , Quan Shi , Li Wang , Yuqing Wu

In this paper after reviewing the Schouten and de Rham definition of impair and pair differential form fields (not to be confused with differential form fields of even and odd grades) we prove that in a relativistic spacetime it is possible…

Mathematical Physics · Physics 2010-01-29 Roldao da Rocha , Waldyr A. Rodrigues

We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

General Relativity and Quantum Cosmology · Physics 2020-01-09 Murat Özer

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. Tey are reviewed in the work presented. It is drawing the attention on the following aspects. EM-field has in general case quaternion…

Mathematical Physics · Physics 2013-07-11 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality symmetry is then extended to a general class of…

High Energy Physics - Theory · Physics 2011-08-11 Yasumi Abe , Rabin Banerjee , Izumi Tsutsui

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
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