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The inadequacy of Li\'{e}nard-Wiechert potentials is demonstrated as one of the examples related to the inconsistency of the conventional classical electrodynamics. The insufficiency of the Faraday-Maxwell concept to describe the whole…

High Energy Physics - Theory · Physics 2009-10-28 Andrew E. Chubykalo , Roman Smirnov-Rueda

We study classical field theories in a background field configuration where all modes of the theory are excited, matching the zero-point energy spectrum of quantum field theory. Our construction involves elements of a theory of classical…

High Energy Physics - Theory · Physics 2009-11-11 T. Hirayama , B. Holdom

It is commonly believed as a fundamental principle that energy-momentum conservation of a physical system is the result of space-time symmetry. However, for classical particle-field systems, e.g., charged particles interacting through…

Plasma Physics · Physics 2015-04-20 Hong Qin , J. W. Burby , Ronald C. Davidson

Quantum interference phenomena are widely viewed as posing a challenge to the classical worldview. Feynman even went so far as to proclaim that they are the only mystery and the basic peculiarity of quantum mechanics. Many have also argued…

Quantum Physics · Physics 2023-09-27 Lorenzo Catani , Matthew Leifer , David Schmid , Robert W. Spekkens

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

Can the wavelength of a classical electromagnetic field be arbitrarily small, or its electric field strength be arbitrarily large? If we require that the radiation-reaction force on a charged particle in response to an applied field be…

Classical Physics · Physics 2007-05-23 Kirk T. McDonald

The theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no such thing as a true point-particle, it is…

Classical Physics · Physics 2026-03-19 Andrew T. Hyman

A review of old inconsistencies of Classical Electrodynamics (CED) and of some new ideas that solve them is presented. Problems with causality violating solutions of the wave equation and of the electron equation of motion, and problems…

High Energy Physics - Theory · Physics 2008-11-26 Manoelito M. de Souza

This article serves as a pedagogical introduction to the problem of motion in classical field theories. The primary focus is on self-interaction: How does an object's own field affect its motion? General laws governing the self-force and…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Abraham I. Harte

It is proved that the class of stable interatomic potentials admits an exact representation in the form of a finite or infinite superposition of Yukawa potentials. An auxiliary scalar field is introduced to describe the dynamics of a system…

Statistical Mechanics · Physics 2022-02-01 A. Yu. Zakharov , V. V. Zubkov

It is well known that one cannot construct a self-consistent quantum field theory describing the non-relativistic electromagnetic interaction mediated by massive photons between a point-like electric charge and a magnetic monopole. We show…

High Energy Physics - Theory · Physics 2011-05-06 C. Cafaro , S. Capozziello , Ch. Corda , S. A. Ali

This paper follows in the tradition of direct-action versions of electromagnetism having the aim of avoiding a balance of infinities wherein a mechanical mass offsets an infinite electromagnetic mass so as to arrive at a finite observed…

General Physics · Physics 2015-05-13 M. Ibison

A manifestly gauge-invariant hamiltonian formulation of classical electrodynamics has been shown to be relativistic invariant by the construction of the adequate generators of the Poincare Lie algebra [Physica, 76, No. 3, 421-444 (1974)].…

Classical Physics · Physics 2007-05-23 M. de Haan

We present a pedagogical review of old inconsistencies of Classical Electrodynamics and of some new ideas that solve them. Problems with the electron equation of motion and with the non-integrable singularity of its self-field energy tensor…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

The reader surely knows what particles physics is about: finding building blocks of nature that appear elementary at a given time and study their interactions - so why in the world this essay? The problem is how to arrive at a fundamental…

High Energy Physics - Phenomenology · Physics 2025-04-21 Goran Senjanović

The photon model of light has been known for decades to be self-inconsistent and controversial theory with numerous intrinsic conflicts. This paper revises the model and explores its applicability for description of classical…

General Physics · Physics 2021-06-16 Yuriy Akimov , Pavlo Rutkevych

The self-friction field of electrons remains one of the fundamental problems in classical and quantum physics, retaining its significance and continuing to constitute a primary focus of both theoretical and experimental research. This study…

General Physics · Physics 2025-09-03 B. A Mamedov

The relationship between classical and quantum mechanics is usually understood via the limit $\hbar \rightarrow 0$. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity…

Quantum Physics · Physics 2021-03-15 J. -B. Bru , W. de Siqueira Pedra

A bivertical classical field theory include the Newtonian mechanics and Maxwell's electromagnetic field theory as the special cases. This unification allows to recognize the formal analogies among the notions of Newtonian mechanics and…

High Energy Physics - Theory · Physics 2009-10-22 Z. Oziewicz

The paper considers quantum electrodynamics (QED) and weak interaction of elementary particles in the lower orders of the perturbation theory using nonlocal Hamiltonian in the Foldy-Wouthuysen (FW) representation. Feynman rules in the FW…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Neznamov