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Both acoustics and electromagnetism represent measurable fields in terms of dynamical potential fields. Electromagnetic force-fields form a spacetime bivector that is represented by a dynamical energy-momentum 4-vector potential field.…

Mathematical Physics · Physics 2024-08-27 Lucas Burns , Tatsuya Daniel , Stephon Alexander , Justin Dressel

The relationship between magnetoelectricity and electromagnetism is a subject of a strong interest and numerous discussions in microwave and optical wave physics and material sciences. The definition of the energy and momentum of the…

Materials Science · Physics 2020-04-22 E. O. Kamenetskii

We summarize a recent work on the title subject, skipping the detailed calculations but introducing the basic points with enough detail. The theory considered is formulated in a preferred reference frame in a four-dimensional spacetime…

General Physics · Physics 2017-10-18 Mayeul Arminjon

We consider spacetime to be a 4-dimensional differentiable manifold that can be split locally into time and space. No metric, no linear connection are assumed. Matter is described by classical fields/fluids. We distinguish electrically…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Friedrich W. Hehl , Yuri N. Obukhov

The electromagnetic field in an anisotropic and inhomogeneous magnetodielectric is quantized by modelling the medium with two independent quantum fields. Some coupling tensors coupling the electromagnetic field with the medium are…

Quantum Physics · Physics 2012-07-12 M. Amooshahi , F. Kheirandish

The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of…

Classical Physics · Physics 2013-04-15 Markus Lazar

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

The concept of electromagnetic field can be neatly formulated by recognizing that the simplest form of the four-force is indeed feasible. We show that Maxwell's equations almost entirely stem from the properties of spacetime, notably from…

Classical Physics · Physics 2022-05-04 B. P. Kosyakov

The curvature invariants have been subject of interest due to the debate concerning the notions of intrinsic/extrinsic frame-dragging, the use of the electromagnetic analogy in such classification, and the question of whether there is a…

General Relativity and Quantum Cosmology · Physics 2021-10-26 L. Filipe O. Costa , Lode Wylleman , José Natário

When one splits spacetime into space plus time, the Weyl curvature tensor (vacuum Riemann tensor) gets split into two spatial, symmetric, and trace-free (STF) tensors: (i) the Weyl tensor's so-called "electric" part or tidal field, and (ii)…

The paper studies the inferences of wave equations for electromagnetic fields when there are gravitational fields at the same time. In the description with the algebra of octonions, the inferences of wave equations are identical with that…

General Physics · Physics 2010-08-13 Zi-Hua Weng

Tendex and vortex fields, defined by the eigenvectors and eigenvalues of the electric and magnetic parts of the Weyl curvature tensor, form the basis of a recently developed approach to visualizing spacetime curvature. In analogy to…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Kenneth A. Dennison , Thomas W. Baumgarte

By modeling a dielectric medium with two independent reservoirs, i.e., electric and magnetic reservoirs, the electromagnetic field is quantized in a linear dielectric medium consistently. A Hamiltonian is proposed from which using the…

Quantum Physics · Physics 2007-05-23 F. Kheirandish , M. Amooshahi

We study one of the interesting properties of the electromagnetic wave propagation in the curved Schwarzschild background spacetime in the framework of general relativity (GR). The electromagnetic wave equation has been derived from vacuum…

General Relativity and Quantum Cosmology · Physics 2023-06-23 Bobur Turimov , Igor Smolyaninov

We explore the intimate connection between spacetime geometry and electrodynamics. This link is already implicit in the constitutive relations between the field strengths and excitations, which are an essential part of the axiomatic…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Francisco Cabral , Francisco S. N. Lobo

We present a new characterization of partially coherent electric and magnetic wave vector fields.This characterization is based on the 36 auto/cross correlations of the 3+3 complex Cartesian components of the electric and magnetic wave…

Geophysics · Physics 2009-02-04 Jan E. S. Bergman , Tobia D. Carozzi

The magnetic field is traditionally presented as a (pseudo)vector quantity, tied closely to the cross product. Though familiar to experts, many students find these ideas challenging and full of subtleties. Building on earlier work in…

Physics Education · Physics 2024-11-26 Steuard Jensen

A description of electromagnetism as four-dimensional spacetime structure leads to the dynamics of a charged particle being determined only by the four-vector potential and the existence of an electromagnetic field depending on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vu B Ho

We present a comprehensive introduction to spacetime algebra that emphasizes its practicality and power as a tool for the study of electromagnetism. We carefully develop this natural (Clifford) algebra of the Minkowski spacetime geometry,…

Optics · Physics 2015-07-03 Justin Dressel , Konstantin Y. Bliokh , Franco Nori

In this paper a formulation of the field equation for moving media is developed by the generalization of an axiomatic geometric formulation of the electromagnetism in vacuum (Ivezi\'{c} T 2005 Found. Phys. Lett. 18 401. First, the field…

General Physics · Physics 2017-06-06 Tomislav Ivezic