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We investigate the asymptotic structure of electromagnetism in Minkowski space in even and odd spacetime dimensions $\geq 4$. We focus on $d>4$ since the case $d=4$ has been studied previously at length. We first consider spatial infinity…

High Energy Physics - Theory · Physics 2019-06-19 Marc Henneaux , Cedric Troessaert

We present a dynamical framework for modeling the motion of point-like charged particles, with or without mass, in general external electromagnetic fields. A key feature of this formulation is the treatment of time coordinate as a dynamical…

Classical Physics · Physics 2026-01-07 Zui Oporto , Gonzalo Marcelo Ramírez-Ávila

It is shown that a nonrelativistic mechanical system involving a general nonrelativistic potential V(|r1-r2|) between point particles at positions r1 and r2 can be extended to a Lagrangian system which is invariant under Lorentz…

Classical Physics · Physics 2008-10-03 Timothy H. Boyer

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the…

High Energy Physics - Theory · Physics 2015-06-18 Francesco Azzurli , Kurt Lechner

The macroscopic equations of Maxwell combined with a generalized form of the Lorentz law are a complete and consistent set; not only are these five equations fully compatible with the special theory of relativity, they also conform with the…

Optics · Physics 2012-08-07 Masud Mansuripur

A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called "inertons," should exist. The equations…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

We derive and describe in detail a recently proposed method for obtaining Coulomb interactions as the potential of mean force between charges which are dynamically coupled to a local electromagnetic field. We focus on the Molecular Dynamics…

Statistical Mechanics · Physics 2009-11-10 Igor Pasichnyk , Burkhard Duenweg

We propose a simple quantum mechanical equation for $n$ particles in two dimensions, each particle carrying electric charge and magnetic flux. Such particles appear in (2+1)-dimensional Chern-Simons field theories as charged vortex soliton…

Quantum Physics · Physics 2009-10-31 Qiong-gui Lin

The field equations for gravitation and electromagnetism with sources in four dimensions can be interpreted as arising from the vacuum Einstein equations in five dimensions. Gauge invariance of the electromagnetic potentials leads to a…

High Energy Physics - Theory · Physics 2007-05-23 Tomas Liko

Examination of the Einstein energy-momentum relationship suggests that simple unbound forms of matter exist in a four-dimensional Euclidean space. Position, momentum, velocity, and other vector quantities can be expressed as Euclidean…

Quantum Physics · Physics 2007-05-23 Paul J. Freitas

The electrostatic force is described in this model by the action of electric dipole distributions on charged particles. The individual hypothetical dipoles are propagating at the speed of light in vacuum transferring momentum and energy…

General Physics · Physics 2018-03-15 K. Wilhelm , B. N. Dwivedi , H. Wilhelm

It is shown that application of dynamic flows concept in 4-dimensional Euclidean space makes possible to form Minkowski space and to formulate the generalized variational problem of electrodynamics and gravi- dynamics. It is shown that…

General Mathematics · Mathematics 2007-05-23 I. V. Bayak

The expression for the electromagnetic field of a charge moving along an arbitrary trajectory is obtained in a direct, elegant, and Lorentz invariant manner without resorting to more complicated procedures such as differentiation of the…

Classical Physics · Physics 2009-05-08 Hamsa Padmanabhan

Electromagnetic field produced by magnetic multipoles in hyperbolic motion is derived and compared with electromagnetic field produced by electric multipoles in hyperbolic motion. The resulting fields are related by duality symmetry.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Pravda , A. Pravdova

The generalization of Einstein's special theory of relativity (SRT) is proposed. In this model the possibility of unification of scalar gravity and electromagnetism into a single united field is considered. Formally, the generalization of…

General Physics · Physics 2017-08-23 V. A. Andreev , D. Yu. Tsipenyuk

The equations which determine the response of a spinning charged particle moving in a uniform magnetic field to an incident gravitational wave are derived in the linearized approximation to general relativity. We verify that 1) the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. B. Papadopoulos

We consider the motion of a spinning relativistic particle with an arbitrary value of spin in external electromagnetic and gravitational fields, to first order in the external field. We use the noncovariant description of spin. An explicit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. A. Pomeransky , R. A. Sen'kov

By treating magnetic charge as a gauge symmetry through the introduction of a ``magnetic'' pseudo four-vector potential, it is shown that it is possible, using the 't Hooft-Polyakov construction, to obtain a topological electric charge. The…

High Energy Physics - Theory · Physics 2007-05-23 Douglas Singleton

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

We investigated the relativistic dynamics of oppositely charged two fermions interacting with an external uniform magnetic field. We chose the interaction of each fermion with the external magnetic field in the symmetric gauge, and obtained…

General Physics · Physics 2020-12-08 Abdullah Guvendi , Semra Gurtas Dogan
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