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Nonlinear classical theory of electromagnetism [PDF]

International Journal of Theoretical Physics, 1977
A topological theory of electric charge is given. Einstein's criteria for the completion of classical electromagnetic theory are summarized and their relation to quantum theory and the principle of complementarity is indicated. The inhibiting effect that this principle has had on the development of physical thought is discussed.
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Classical electromagnetism at thermal equilibrium [PDF]

Nanophotonics VIII, 2020
Starting from optical Dirac equation, an alternative form of Maxwell's equations, I introduce a statistical operator and derive the optical analogue of von Neumann equation, which is the dynamical equation of the operator. I also found one of its stationary solution, a thermal state.
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Classical Theory of Electromagnetism

1979
The classical theory of electromagnetism is formulated on the basis of a particular frame of reference, called the rest frame or the ether frame, in the Newtonian space-time. We develop this theory in four stages: first, electrostatics concerning the electric fields associated with a steady distribution of electric charges; second, magnetostatics ...
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New Perspective on Classical Electromagnetism

2013
Abstract : 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 a previously overlooked law of induction as well as the physical reality of the vector potential.
Mark A. Johnson, Paul J. Cote
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A Classical Theory of Electromagnetism and Gravitation

Nature, 1945
ATTEMPTS to obtain a unified theory of gravitational and electromagnetic phenomena1 have assumed the form of generalizing the equations of general relativity theory, so that they incorporate terms which may be identified with electromagnetic potentials and charge and current distributions.
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Electromagnetic Mass of the Classical Electron

American Journal of Physics, 1966
The difference between the electrostatic mass of the classical electron m0, and the electrodynamic mass (4/3)m0, has caused a considerable amount of confusion because the theory of relativity seems to predict that, in the limit of small velocities, the two masses should be the same.
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An Introduction to Classical Electromagnetic Radiation

Nuclear Fusion, 1998
This book provides the basic concepts necessary for an introduction to the classical theory of radiation. The reader is first introduced to Maxwell's equations and then led through their basic properties (Chapters 1 and 2). Non-uniform plane waves are treated in Chapter 3 with a discussion of the two and three dimensional cases.
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On energy absorption in classical electromagnetism

American Journal of Physics, 2001
Using only classical electromagnetic energy conservation laws and causality, we show that the net average power absorbed by any mechanically isolated illuminated medium in steady state must be zero, but that for linear model media it is nonzero. This contradiction implies that all media must behave inelastically.
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Special relativity and classical electromagnetism

1997
Until now we have deliberately avoided the use of ideas based on special relativity so as to show that all our interpretations can be based on classical electromagnetism itself without any recourse to special relativity. In this chapter we shall give a brief survey of the intimate relationships between classical electromagnetism and special relativity,
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The Classical Theory of Electromagnetic Fields

1973
The classical field theory that is developed here is not used until Chapter 12, where its quantization is considered. Consequently, a reading of this chapter may be delayed until then, provided that the validity of Gauss’ law (Equation 5.50) is accepted; it is recalled that the proof of this equation, which is used in Section 5.7, was postponed until ...
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