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A derivation is presented of the quantummechanical wave equations based upon the Equity Principle of Einstein's General Relativity Theory. This is believed to be more generic than the common derivations based upon Einstein's energy…

General Physics · Physics 2007-07-19 Engel Roza

Hawking's singularity theorem concerns matter obeying the strong energy condition (SEC), which means that all observers experience a non-negative effective energy density (EED). The SEC ensures the timelike convergence property. However,…

General Relativity and Quantum Cosmology · Physics 2019-04-02 P. J. Brown , C. J. Fewster , E. -A. Kontou

We consider a class of electromagnetic fields that contains crossed fields combined with longitudinal electric and magnetic fields. We study the motion of a classical particle (solutions of the Lorentz equations) in such fields. Then, we…

Quantum Physics · Physics 2009-11-13 V. G. Bagrov , M. C. Baldiotti , D. M. Gitman

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. M. Woodside

In the first quarter of the 20th century, physicists were not aware of the existence of classical electromagnetic zero-point radiation nor of the importance of special relativity. Inclusion of these aspects allows classical electron theory…

Classical Physics · Physics 2022-01-11 Timothy H. Boyer

Globally-constrained classical fields provide a unexplored framework for modeling quantum phenomena, including apparent particle-like behavior. By allowing controllable constraints on unknown past fields, these models are retrocausal but…

Quantum Physics · Physics 2018-07-04 Ken Wharton

We study the equations of Wheeler-Feynman electrodynamics which is an action-at-a-distance theory about world-lines of charges that interact through their corresponding advanced and retarded Li\'enard-Wiechert field terms. The equations are…

Mathematical Physics · Physics 2011-08-10 G. Bauer , D. -A. Deckert , D. Dürr

Retarded electromagnetic potentials are derived from Maxwell's equations and the Lorenz condition. The difference found between these potentials and the conventional Li\'{e}nard-Wiechert ones is explained by neglect, for the latter, of the…

Classical Physics · Physics 2015-06-05 J. H. Field

The parametrized Dirac wave equation represents position and time as operators, and can be formulated for many particles. It thus provides, unlike field-theoretic Quantum Electrodynamics (QED), an elementary and unrestricted representation…

Quantum Physics · Physics 2020-02-28 A. F. Bennett

During the last decades there has been a relatively extensive attempt to develop the theory of stochastic electrodynamics (SED) with a view to establishing it as the foundation for quantum mechanics. The theory had several important…

Quantum Physics · Physics 2007-05-23 L. de la Pena , A. M. Cetto

The issue of a self-consistent solution of Maxwell-Einstein equations achieves a very simple form when all quantum effects are neglected but a weak vacuum polarization due to an external magnetic field is taken into account. From a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Klippert , V. A. De Lorenci , M. Novello , J. M. Salim

A non-existence theorem of classical electrodynamics in odd-dimensional spacetimes is shown to be invalid. The source of the error is pointed out, and is then demonstrated during the derivation of the fields generated by a uniformly moving…

Mathematical Physics · Physics 2012-03-21 I. Aharonovich , L. P. Horwitz

We study the classical electrodynamics of extended bodies. Currently, there is no self-consistent dynamical theory of such bodies in the literature. Electromagnetic energy-momentum is not conserved in the presence of charge and some…

Classical Physics · Physics 2021-09-14 P. D. Flammer

It is shown that the transformations of the charge conjugation in classical electrodynamics and in quantum theory can be interpreted as the consequences of the symmetry of Maxwell and Dirac equations with respect to the inversion of the…

Quantum Physics · Physics 2011-04-15 G. A. Kotel'nikov

The confinement mechanism proposed earlier and then applied successfully to meson spectroscopy by one of the authors is interpreted in classical terms. For this aim the unique solution of the Maxwell equations, an analog of the…

High Energy Physics - Theory · Physics 2014-11-20 Yu. P. Goncharov , N. E. Firsova

We will display the fundamental structure of classical electrodynamics. Starting from the axioms of (1) electric charge conservation, (2) the existence of a Lorentz force density, and (3) magnetic flux conservation, we will derive Maxwell's…

Classical Physics · Physics 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

YES! We introduce a variable power Maxwell nonlinear electrodynamics theory which can remove the singularity of electric field of point-like charges at their locations. One of the main problems of Maxwell's electromagnetic field theory is…

Classical Physics · Physics 2021-07-22 Behzad Eslam Panah

Causality in electrodynamics is a subject of some confusion, especially regarding the application of Faraday's law and the Ampere-Maxwell law. This has led to the suggestion that we should not teach students that electric and magnetic…

Physics Education · Physics 2015-05-28 C. M. Savage

It is generally assumed that the retarded Lienard-Wiechert electromagnetic field produced by a point particle depends on the acceleration of that source particle. This dependence is not real, it is an illusion. The true electromagnetic…

Classical Physics · Physics 2025-09-12 Calin Galeriu

The classical energy conditions are known to not be fundamental physics -- they are typically violated by semiclassical quantum effects. Consequently, some effort has gone into finding possible semiclassical replacements for the classical…

General Relativity and Quantum Cosmology · Physics 2013-09-25 Prado Martin-Moruno , Matt Visser