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A thermodynamic analysis of the harmonic oscillator is presented. Motivation for the study is provided by the blackbody radiation spectrum; when blackbody radiation is regarded as a system of noninteracting harmonic oscillator modes, the…

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

Based upon thermodynamic ideas, two new derivations of the Planck blackbody spectrum are given within classical physics which includes classical zero-point radiation. The first and second laws of thermodynamics, applied to a harmonic…

General Physics · Physics 2018-02-14 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

The analysis of this article is entirely within classical physics. Any attempt to describe nature within classical physics requires the presence of Lorentz-invariant classical electromagnetic zero-point radiation so as to account for the…

Classical Physics · Physics 2012-04-06 Timothy H. Boyer

We point out that current textbooks of modern physics are a century out-of-date in their treatment of blackbody radiation within classical physics. Relativistic classical electrodynamics including classical electromagnetic zero-point…

Classical Physics · Physics 2018-06-22 Timothy H. Boyer

It has been shown repeatedly over a period of 50 years that the use of relativistic classical physics and the inclusion of classical electromagnetic zero-point radiation leads to the Planck blackbody spectrum for classical radiation…

Classical Physics · Physics 2019-01-17 Timothy H. Boyer

It is suggested that an understanding of blackbody radiation within classical physics requires the presence of classical electromagnetic zero-point radiation, the restriction to relativistic (Coulomb) scattering systems, and the use of…

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

Energy equipartition is appropriate only for nonrelativistic classical mechanics, but has only limited relevance for a relativistic theory such as classical electrodynamics. In this article, we discuss harmonic-oscillator thermal…

Classical Physics · Physics 2021-12-14 Timothy H. Boyer

The physicists of the early 20th century were unaware of two ideas which are vital to understanding some aspects of modern physics within classical theory. The two ideas are: 1) the presence of classical electromagnetic zero-point…

Classical Physics · Physics 2015-11-20 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

Here we show that within classical physics, the Planck blackbody spectrum can be derived directly from the structure of relativistic spacetime. In noninertial frames, thermal radiation at positive temperature is connected directly to…

Classical Physics · Physics 2016-09-21 Timothy H. Boyer

The blackbody radiation problem within classical physics is reviewed. It is again suggested that conformal symmetry is the crucial unrecognized aspect, and that only scattering by classical electromagnetic systems will provide equilibrium…

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

In a recent thermodynamic analysis of the harmonic oscillator and using an interpolation procedure, Boyer has shown that the existence of a zero-point energy leads to the Planck spectrum. Here we avoid the interpolation by adding a…

Quantum Physics · Physics 2009-11-13 Luis de la Pena , Andrea Valdes-Hernandez , Ana Maria Cetto

It is pointed out that relativistic classical electron theory with classical electromagnetic zero-point radiation has a scaling symmetry which is suitable for understanding the equilibrium behavior of classical thermal radiation at a…

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

In this work we obtain Planck's blackbody spectrum from the thermal scalar radiation contained in a resonant cavity of volume V in the context of classical mechanics, which provides the classical zero-point electromagnetic radiation in…

Classical Physics · Physics 2019-07-30 J. Tapia , H. González , R. Rubiano

A derivation of the Planck spectrum for thermal radiation is given based upon wave fluctuations within relativistic classical physics. The derivation depends crucially on thermal fluctuations existing above the fundamental…

High Energy Physics - Phenomenology · Physics 2024-04-17 Timothy H. Boyer

Dirac's Poisson-bracket-to-commutator analogy for the transition from classical to quantum mechanics assures that for many systems, the classical and quantum systems share the same algebraic structure. The quantum side of the analogy…

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

We give an example in which it is possible to understand quantum statistics using classical concepts. This is done by studying the interaction of charged matter oscillators with the thermal and zeropoint electromagnetic fields…

Quantum Physics · Physics 2009-10-28 H. M. França , A. Maia , C. P. Malta

Electromagnetism is a \textit{relativistic} theory and one must exercise care in coupling this theory with \textit{nonrelativistic} classical mechanics and with \textit{nonrelativistic} classical statistical mechanics. Indeed historically,…

Classical Physics · Physics 2016-10-06 Timothy H. Boyer

Classical electron theory with classical electromagnetic zero-point radiation (stochastic electrodynamics) is the classical theory which most closely approximates quantum electrodynamics. Indeed, in inertial frames, there is a general…

General Relativity and Quantum Cosmology · Physics 2013-08-13 Timothy H. Boyer
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