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We demonstrate how to derive Maxwell's equations, including Faraday's law and Maxwell's correction to Amp\`ere's law, by generalizing the description of static electromagnetism to dynamical situations. Thereby, Faraday's law is introduced…

Classical Physics · Physics 2021-05-21 Jürgen König

Textbooks play a fundamental role in teaching and learning in school science classrooms. In this paper we investigate the presentation of the nature of the electromagnetic field in a dozen of the world's most popular introductory university…

Physics Education · Physics 2023-05-10 Álvaro Suárez , Arturo C. Marti , Kristina Zuza , Jenaro Guisasola

The work is devoted to studying some new classical electrodynamics models of interacting charged point particles and related with them physical aspects. Based on the vacuum field theory no-geometry approach, developed in \cite{BPT,BPT1},…

General Relativity and Quantum Cosmology · Physics 2013-02-19 N. N. Bogolubov , A. K. Prykarpatsky

The paper formulates Maxwell's equations in 4-dimensional Euclidean space by embedding the electromagnetic vector potential in the frame vector $g_0$. Relativistic electrodynamics is the first problem tackled; in spite of using a geometry…

General Physics · Physics 2007-05-23 Jose B. Almeida

A new formulation of electromagnetism based on linear differential commutator brackets is developed. Maxwell equations are derived, using these commutator brackets, from the vector potential $\vec{A}$, the scalar potential $\phi$ and the…

General Physics · Physics 2012-03-21 Arbab I. Arbab , Faisal A. Yassein

Richard P. Feynman's work on gravitation, as can be inferred from several published and unpublished sources, is reviewed. Feynman was involved with this subject at least from late 1954 to the late 1960s, giving several pivotal contributions…

History and Philosophy of Physics · Physics 2021-09-03 Marco Di Mauro , Salvatore Esposito , Adele Naddeo

The concept "Classical Electromagnetism" in the title of the paper here refers to a theory built on three foundations: relativity principles, the original Maxwell's equations, and the mathematics of exterior calculus. In this theory of…

Classical Physics · Physics 2007-05-23 Leif Pettersson

We investigate which are the independent equations of continuum electrodynamics and what is their number, beginning with the standard equations used in special and in general relativity. We check by using differential identities that there…

General Physics · Physics 2018-10-15 Mayeul Arminjon

It is shown that Electromagnetism creates geometry different from Riemannian geometry. General geometry including Riemannian geometry as a special case is constructed. It is proven that the most simplest special case of General Geometry is…

High Energy Physics - Theory · Physics 2016-09-06 Shervgi S. Shahverdiyev

It is argued that there is a connection between the fundamental forces of electromagnetism and gravitation. This connection occurs because of: 1) the fundamental significance of the finite and invariant velocity of light in inertial…

General Physics · Physics 2007-05-23 D. M. Snyder

One of the highlight of this note is that the author presents the relativistic gravity field that Einstein was looking for. The field is a byproduct of the matter in motion. This field can include both the discrete and continuous…

Mathematical Physics · Physics 2009-10-06 Victor M. Bogdan

Maxwell's mature presentation of his equations emphasized the unity of electromagnetism and mechanics, subsuming both as "dynamical systems". That intuition of unity has proved both fruitful, as a source of pregnant concepts, and broadly…

High Energy Physics - Phenomenology · Physics 2016-09-28 Frank Wilczek

This work is focused on the theory of Gravitoelectromagnetism (GEM). In the first part of this work we present a brief review of gravitoelectromagnetism, we locate and discuss all the problems which appear in this approach. We also try to…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Athanasios Bakopoulos

A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

General Physics · Physics 2013-05-30 D. H. Sattinger

It is pointed out that the usual derivation of the well-known Maxwell electromagnetic equations holds only for a medium at rest. A way in which the equations may be modified for the case when the mean flow of the medium is steady and…

General Physics · Physics 2007-05-23 J. Dunning-Davies

Einstein's special theory of relativity starts with assumptions about how observations conducted in relatively moving inertial frames must compare. From these assumptions, conclusions can be drawn regarding the laws of physics in any one…

History and Philosophy of Physics · Physics 2015-07-14 Allan Walstad

We present a new approach to quantum general relativity based on the idea of Feynman to treat the graviton in Einstein's theory as a point particle field subject to quantum fluctuations just as any such field is in the well-known Standard…

High Energy Physics - Phenomenology · Physics 2009-06-19 B. F. L. Ward

Einstein's Special Theory of Relativity was proposed a little over a hundred years back. It remained a bedrock of twentieth century physics right up to Quantum Field Theory. However, the failure over several decades to provide a unified…

General Physics · Physics 2007-05-23 B. G. Sidharth

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

In an exact quantum-mechanical framework, we show that expectation values of the second-quantized electro-magnetic fields in the Coulomb gauge, and in the presence of classical sources, automatically lead to causal and retarded…

Quantum Physics · Physics 2019-04-02 Bo-Sture K. Skagerstam , Karl-Erik Eriksson , Per K. Rekdal