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Two criteria for the spectra of relativistic waves are proposed. Zero-point radiation provides the identity representation of the conformal group in Minkowski spacetime. Thermal radiation provides the irreducible representation of the…

Classical Physics · Physics 2026-03-26 Timothy H. Boyer

Here we review the understanding of the classical hydrogen atom in classical electromagnetic zero-point radiation, and emphasize the importance of special relativity. The crucial missing ingredient in earlier calculational attempts (both…

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

Although Planck's constant h is currently regarded as the elementary quantum of action appearing in quantum theory, it can also be interpreted as the multiplicative scale factor setting the scale of classical zero-point radiation appearing…

Classical Physics · Physics 2013-01-28 Timothy H. Boyer

By numerical calculation, the Planck spectrum with zero-point radiation is shown to satisfy a natural maximum-entropy principle whereas alternative choices of spectra do not. Specifically, if we consider a set of conducting-walled boxes,…

Classical Physics · Physics 2009-11-07 Timothy H. Boyer

Thermal scalar radiation in two spacetime dimensions is treated within relativistic classical physics. Part I involves an inertial frame where are given the analogues both of Boltzmann's derivation of the Stefan-Boltzmann law and also…

Classical Physics · Physics 2015-05-19 Timothy H. Boyer

A classical linear oscillator is treated in the small amplitude limit so that it will be approximately relativistic. The oscillator involves a charge particle in a linear potential in classical zero-point radiation. It is found that the…

Classical Physics · Physics 2026-03-17 Timothy H. Boyer

The effective equations of motion for a point charged particle taking account of radiation reaction are considered in various space-time dimensions. The divergencies steaming from the pointness of the particle are studied and the effective…

High Energy Physics - Theory · Physics 2009-11-07 P. O. Kazinski , S. L. Lyakhovich , A. A. Sharapov

The work is devoted to studying some new classical electrodynamics models of interacting charged point particles and related with them physical aspects. Based on the vacuum field theory no-geometry approach, developed in \cite{BPT,BPT1},…

General Relativity and Quantum Cosmology · Physics 2013-02-19 N. N. Bogolubov , A. K. Prykarpatsky

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Vlasov

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

In 1893, Wien applied the first two laws of thermodynamics to blackbody radiation and derived his displacement theorem. Believing that the information from thermodynamics had been exhausted, Planck turned to statistical ideas in 1900 in…

Statistical Mechanics · Physics 2019-01-15 Timothy H. Boyer

Classical radiation equilibrium (the blackbody problem) is investigated by the use of an analogy. Scaling symmetries are noted for systems of classical charged particles moving in circular orbits in central potentials V(r)=-k/r^n when the…

Classical Physics · Physics 2010-05-17 Timothy H. Boyer

We investigate the properties of the blackbody spectrum by direct numerical solution of the classical equations of motion of a one-dimensional model that contains the essential general features of the field-matter interaction. Our results,…

Statistical Mechanics · Physics 2022-04-04 Jiao Wang , Giulio Casati , Giuliano Benenti

The way the topic of black-body radiation is presented in standard textbooks (i.e. from Rayleigh-Jeans to Max Planck) does not follow the actual historical timeline of the understanding of the black-body radiation problem. Authors believe…

History and Philosophy of Physics · Physics 2022-08-16 Himanshu Mavani , Navinder Singh

A relativistic classical field theory with zero-point radiation involves a vacuum corresponding to a scale-invariant spectrum of random classical radiation in spacetime with the overall constant chosen to give an energy (1/2)\hbar\omega per…

Classical Physics · Physics 2010-11-08 Timothy H. Boyer

The Planck's radiation law for the blackbody radiation spectrum was capable to explain the experimentally-measured blackbody spectrum. In order to get this result, Planck proposed his radiation law in a two-fold way: 1) by an \textit{ad…

Quantum Physics · Physics 2023-12-15 M. A. De Andrade , L. G. Ferreira Filho , C. Neves

In classical electrodynamics for rotating with variable angular velocity charged rigid sphere are found: the exact values of electromagnetic fields, the flux of radiating energy and the exact integral equation of rotation including the…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

The problem of black body radiation, when measured by a moving observer, has a pivotal role in relativistic thermodynamics. Mutually, it depends on the thermodynamical definition of the thermal equilibrium and temperature of moving bodies,…

General Relativity and Quantum Cosmology · Physics 2019-09-26 Kamran Derakhshani

In the classical theory, an electromagnetic field obeying Maxwell's equations cannot be absorbed quickly by matter, so that it remains a zero point field. Splitting the total, genuine electromagnetic field into the sum of a conventional…

Optics · Physics 2007-05-23 Jacques Moret-Bailly

The Planck spectrum of thermal scalar radiation is derived suggestively within classical physics by the use of an accelerating coordinate frame. The derivation has an analogue in Boltzmann's derivation of the Maxwell velocity distribution…

Classical Physics · Physics 2012-07-25 Timothy H. Boyer