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Stochastic mechanics (SM), as proposed by Edward Nelson and others in the 20th century, aims to reconstruct quantum mechanics (QM) from a more fundamental theory of classical point particles interacting with a classical-like ether, where…

Quantum Physics · Physics 2018-04-05 Maaneli Derakhshani

If the assumption that the center of mass(CM) and the center of charge(CC) of the electron are two different points was stated 100 years ago, our conceptual ideas about elementary particles would be different. This assumption is only…

History and Philosophy of Physics · Physics 2012-12-03 Martin Rivas

The Hamiltonian conservative system of two interacting particles has been considered both in classical and quantum description. The quantum model has been realized using a symmetrized two-particle basis reordered in the unperturbed energy.…

chao-dyn · Physics 2009-10-30 Fausto Borgonovi , Italo Guarneri , Felix Izrailev

We show that it is possible to obtain self-consistent and physically acceptable relativistic classical equations of motion for a point-like spin-half particle possessing an electric charge and a magnetic dipole moment, directly from a…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Costella , Bruce H. J. McKellar

In a previous work and in terms of an exact quantum-mechanical framework, $\hbar$-independent causal and retarded expectation values of the second-quantized electro-magnetic fields in the Coulomb gauge were derived in the presence of a…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Bo-Sture K. Skagerstam , Karl-Erik Eriksson , Per K. Rekdal

Conservation of energy and momentum in the classical theory of radiating electrons has been a challenging problem since its inception. We propose a formulation of classical electrodynamics in Hamiltonian form that satisfies the Maxwell…

Chaotic Dynamics · Physics 2013-08-15 Frédéric André , Pierre Bernardi , Nikita M. Ryskin , Fabrice Doveil , Yves Elskens

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 address three issues. i. The point particle assumption, inherent to non-quantum physics, is singular and entails divergent fields and integrals. ii. In quantum physics EM plays an asymmetric roll. It acts on quantum wave fields (wave…

Classical Physics · Physics 2022-07-01 Yousef Sobouti

Statistical classical mechanics and quantum mechanics are developed and well-known theories that represent a basis for modern physics. The two described theories are well known and have been well studied. As these theories contain numerous…

General Physics · Physics 2015-07-24 Oleg Kupervasser

In this paper, we study the bulk motion of a classical extended charge in flat spacetime. A formalism developed by W. G. Dixon is used to determine how the details of such a particle's internal structure influence its equations of motion.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abraham I. Harte

The development of Quantum Electrodynamics (QED) is sketched from its earliest beginnings until the formulations of 1949, using the example of the divergent self-energy of the electron as a quintessential problem of the 1930's-40's. The…

History and Philosophy of Physics · Physics 2007-05-23 Jo Bovy

Entropic Dynamics is a framework for deriving the laws of physics from entropic inference. In an (ED) of particles, the central assumption is that particles have definite yet unknown positions. By appealing to certain symmetries, one can…

Quantum Physics · Physics 2019-07-02 Nicholas Carrara

It is shown how point charges and point dipoles with finite self-energies can be accomodated into classical electrodynamics. The key idea is the introduction of constitutive relations for the electromagnetic vacuum, which actually mirrors…

Classical Physics · Physics 2007-05-23 S. M. Blinder

Boltzmann's ergodic hypothesis furnishes a possible explanation for the emergence of statistical mechanics in the framework of classical physics. In quantum mechanics, the Eigenstate Thermalization Hypothesis (ETH) is instead generally…

Statistical Mechanics · Physics 2019-04-08 Lorenzo Campos Venuti , Lawrence Liu

The problem of the cosmological constant is considered in the formalism of an extended space-time consisting of the extended classical solution of Einstein equations. The different regions of the extended manifold are proposed to be related…

General Relativity and Quantum Cosmology · Physics 2021-04-07 S. Bondarenko

A detailed study is made of the space-time transformation properties of intercharge forces and the associated electric and magnetic force fields, both in classical electrodynamics and in a recently developed relativistic classical…

General Physics · Physics 2009-09-01 J. H. Field

Three problems stand in the way of deriving classical theories from quantum mechanics: those of realist interpretation, of classical properties and of quantum measurement. Recently, we have identified some tacit assumptions that lie at the…

Quantum Physics · Physics 2015-06-03 Petr Hajicek

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

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

We investigate conservation laws in the quantum mechanics of closed systems. We review an argument showing that exact decoherence implies the exact conservation of quantities that commute with the Hamiltonian including the total energy and…

General Relativity and Quantum Cosmology · Physics 2009-10-22 James B. Hartle , Raymond Laflamme , Donald Marolf