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The fallacies associated with the gauge concept in electromagnetism are illustrated. A clearer and more valid formulation of the basics of classical electromagnetism is provided by recognizing existing physical constraints as well as the…

Classical Physics · Physics 2014-11-21 Paul J. Cote

A panoramic view, preceded by a short background of Newtonian mechanics and Maxwellian electrodynamics, is offered on the extent of how Einstein's space-time geometry, believed to be central to an understanding of the structure of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Mitra

The logical line is traced of formulation of theory of mechanics founded on the basic correlations of mathematics of hypercomplex numbers and associated geometric images. Namely, it is shown that the physical equations of quantum, classical…

General Physics · Physics 2016-05-10 Alexander P. Yefremov

The quantization of gravity, and its unification with the other interactions, is one of the greatest challenges of theoretical physics. Current ideas suggest that the value of G might be related to the other fundamental constants of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Damour

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

After many fruitless decades of trying to unify electromagnetism and gravitation, it is now being realized that this can be done only in discrete spacetime, as indeed the author had demonstrated. In this context, a unified description of…

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

A formal symmetry between generalized coordinates and momenta is postulated to formulate classical and quantum theories of a particle coupled to an Abelian gauge field. It is shown that the symmetry (a) requires the field to have dynamic…

Quantum Physics · Physics 2009-05-17 Partha Ghose

In this article we have illustrated how is possible to formulate Maxwell's equations in vacuum in an independent form of the usual systems of units. Maxwell's equations, are then specialized to the most commonly used systems of units:…

Classical Physics · Physics 2019-07-02 Francesco Ferdinando Summa

The concept of gauge invariance is one of the most subtle and useful concepts in modern theoretical physics. It is one of the Standard Model cornerstones. The main benefit due to the gauge invariance is that it can permit the comprehension…

High Energy Physics - Theory · Physics 2015-06-05 E. M. C. Abreu , J. Ananias Neto , A. C. R. Mendes , C. Neves , W. Oliveira

We show that the particle states of Maxwell's theory, in $D$ dimensions, can be represented in an infinite number of ways by using different gauge fields. Using this result we formulate the dynamics in terms of an infinite set of duality…

High Energy Physics - Theory · Physics 2015-03-02 Nicolas Boulanger , Per Sundell , Peter West

A review is given on the consistency checks of GUT, which unify the electroweak and strong nuclear forces into a single theory. Such theories predict a new kind of force, which could provide answers to several open questions in cosmology.…

High Energy Physics - Phenomenology · Physics 2010-01-22 W. de Boer

Spacetime and internal symmetries can be used to severely restrict the form of the equations for the fundamental laws of physics. The success of this approach in the context of general relativity and particle physics motivates the…

General Relativity and Quantum Cosmology · Physics 2017-02-16 Saurya Das , Gabor Kunstatter

We prove that, when linearized, the governing equations of an incompressible elastic continuum yield Maxwell's equations as corollaries. Through judicious distinction between the referential and local descriptions, the principle of material…

General Physics · Physics 2009-04-11 C. I. Christov

Any metric theory of gravity whose interaction with quantum particles is described by a covariant wave equation is equivalent to a vector theory that satisfies Maxwell-type equations identically. This result does not depend on any…

General Relativity and Quantum Cosmology · Physics 2014-04-30 Giorgio Papini

One of the biggest revelations of 20th century physics, is virtually unheard of outside the inner circles of particle physics. This is the gauge theory, the foundation for how all physical interactions are described and a guiding principle…

Physics Education · Physics 2020-09-08 Nils-Erik Bomark

Despite its apparent simplicity, Newtonian Mechanics contains conceptual subtleties that may cause some confusion to the deep-thinking student. These subtleties concern fundamental issues such as, e.g., the number of independent laws needed…

Classical Physics · Physics 2023-07-21 C. J. Papachristou

I wish to expound a novel perspective of probing universal character of gravity. To begin with, inclusion of zero mass particle in mechanics leads to special relativity while its interaction with a universal force shared by all particles…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Naresh Dadhich

We briefly discuss the current status of Mach's principle in general relativity and point out that its last vestige, namely, the gravitomagnetic field associated with rotation, has recently been measured for the earth in the GP-B…

General Relativity and Quantum Cosmology · Physics 2015-05-28 B. Mashhoon , P. S. Wesson

One can interpret the Dirac equation either as giving the dynamics for a classical field or a quantum wave function. Here I examine whether Maxwell's equations, which are standardly interpreted as giving the dynamics for the classical…

Quantum Physics · Physics 2019-05-30 Charles T. Sebens

As documented by textbooks, the teaching of electromagnetic induction in university and high school courses is primarily based on what Feynman labeled as the ``flux rule'', downgrading it from the status of physical law. However, Maxwell…

Classical Physics · Physics 2023-04-05 Giuseppe Giuliani