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The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic (EM) field, force, energy, and momentum, which are intimately tied together by Poynting's theorem and by the Lorentz force law.…

Classical Physics · Physics 2017-09-25 Masud Mansuripur

A new concept of internal time (viewed as a scalar temporal field) is introduced which allows one to solve the energy problem in General Relativity. The law of energy conservation means that the total energy density of the full system of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ivanhoe B. Pestov

The complex form of Maxwell equations has been constructed as one equation for 3-dimensional complex A-vector. The real and imaginary parts of this vector are described with use of electric and magnetic tensions accordingly. With using a…

Mathematical Physics · Physics 2007-05-23 Lyudmila A. Alexeyeva

The classical theory of electromagnetism is based on Maxwell's macroscopic equations, an energy postulate, a momentum postulate, and a generalized form of the Lorentz law of force. These seven postulates constitute the foundation of a…

Optics · Physics 2012-07-31 Masud Mansuripur , Armis R. Zakharian

Momentum and energy conservation are fundamental tenets of physics, that valid physical theories have to satisfy. In the reversible transformation between superconducting and normal phases in the presence of a magnetic field, the mechanical…

Superconductivity · Physics 2017-01-10 J. E. Hirsch

The Maxwell-Lorentz theory of electrodynamics cannot readily be applied to a system of point charges: the electromagnetic field is not well-defined at the position of a point charge, an energy conservation argument is not obvious, an…

Classical Physics · Physics 2020-03-24 Mischa Moerkamp

We show that if we consider the full statement of Faraday's law for a closed physical circuit, the standard Maxwell's equations in the presence of electric and magnetic charges have to include in their integral form a mixed term of the form…

Classical Physics · Physics 2009-11-11 M. Nowakowski , N. G. Kelkar

While the electromagnetic force is microscopically simply the Lorentz force, its macroscopic form is more complicated, and given by expressions such as the Maxwell stress tensor and the Kelvin force. Their derivation is fairly opaque, at…

Soft Condensed Matter · Physics 2012-07-23 Mario Liu , Klaus Stierstadt

A close examination of the Maxwell-Lorentz theory of electrodynamics reveals that polarization and magnetization of material media need not be treated as local averages over small volumes - volumes that nevertheless contain a large number…

Optics · Physics 2014-04-10 Masud Mansuripur

We uncover the existence of a universal phenomenon concerning the electromagnetic optical force exerted by light or other electromagnetic waves on a distribution of charges and currents in general, and of particles in particular. This…

Optics · Physics 2022-08-24 Manuel Nieto-Vesperinas , Xiaohao Xu

In 1857, Kirchhoff published two seminal papers on the motion of electricity in wires. In that work, he was the first to derive what we now call the telegrapher`s equations, which describes the propagation of electromagnetic signals along a…

History and Philosophy of Physics · Physics 2025-12-09 Xavier Oriols , Robert Eisenberg , David K. Ferry

The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic field, force, energy and momentum, which are intimately tied together by Poynting's theorem and the Lorentz force law. Whereas…

Classical Physics · Physics 2014-09-18 Masud Mansuripur

Starting with the most general form of Maxwell's macroscopic equations in which the free charge and free current densities, rho_free and J_free, as well as the densities of polarization and magnetization, P and M, are arbitrary functions of…

Optics · Physics 2012-08-07 Masud Mansuripur

In this paper we study the non-relativistic dynamic of a charged particle in the electromagnetic field induced by a periodically time dependent current J along an infinitely long and infinitely thin straight wire. The motions are described…

Mathematical Physics · Physics 2022-07-27 Manuel Garzón , Stefano Marò

Kinetic Vlasov equation for collisional Maxwellian plasmas is used. Collision integral of BGK (Bhatnagar, Gross and Krook) type is applied. From Vlasov equation we find distribution function of electrons in square-law approximation on size…

Plasma Physics · Physics 2015-04-30 A. V. Latyshev , A. A. Yushkanov

The possibility of an incompletness of the equations of electromagnetism is analyzed using a thought experiment that shows a non-physical behavior according to classical electromagnetism. Basically, from Maxwell equations it is shown that a…

General Physics · Physics 2010-05-03 Fernando O. Minotti

The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic field, force, energy, and momentum, which are intimately tied together by Poynting's theorem and the Lorentz force law. Whereas…

Classical Physics · Physics 2013-12-12 Masud Mansuripur

Conservation of current and conservation of charge are nearly the same thing: when enough is known about charge movement, conservation of current can be derived from conservation of charge, in ideal dielectrics, for example. Conservation of…

Other Quantitative Biology · Quantitative Biology 2016-10-20 Bob Eisenberg

After J. C. Maxwell brought forward the concept of displacement currents, H. R. Hertz and other scholars verified the existence of electromagnetic waves in experimental, and then confirmed indirectly the conceptive correctness of…

General Physics · Physics 2014-08-12 Zi-Hua Weng , Jin-Pan Zhu , Jing-Yan He , Zhi-Min Chen , Huang-Ping Yan , Ying Weng

The paper focuses on applying the algebra of octonions to explore the influence of electric-charge gradients on the electric-current derivatives, revealing some of major influence factors of high pulse electric-currents. J. C. Maxwell was…

General Physics · Physics 2020-06-05 Zi-Hua Weng