O. A. Senatchin | Searcharxiv

arXiv2001

The Einstein-Hopf model within the realm of stochastic electrodynamics

The fundamental Einstein-Hopf work that convinced the most part of physicists, since it had appeared, to take quantum ideas seriously, is reanalysed in this paper. We have studied the genesis of the work and have found the conclusion made by Einstein and Hopf not so unambiguous. There may exist classical, not quantum interpretations of the result. T. H. Boyer proposed one of those in 1969. Unfortunately, his derivation contains a loophole in its argument. We propose here a new classical derivation of Planck's radiation law, with the Einstein-Hopf model being used.

physics.gen-ph↗

arXiv2001

De Broglie wave, spontaneous emission and Planck's radiation law according to stochastic electrodynamics

The idea about a quantum nature of Planck's blackbody radiation law is deeply rooted in minds of most physicists. Einstein's work, in which the coefficients of spontaneous and induced emission were introduced, has always been regarded as a proof that quantum energy discreteness of an atom plays a crucial role in the derivation of this law. In our paper we avoid this standpoint. It may be shown that the de Broglie wave assigned to every material particle is a result of interaction of the particle with zero-point vibrations of electromagnetic ground field. The energetic spectrum of a harmonic oscillator is obtained from this fact within classical physics which coincides with the quantum result. Thus, it is explained here how the energy discreteness came into existence in stochastic electrodynamics (SED) --- the classical electrodynamics with classical electromagnetic zero-point radiation. Next we reconsider the Einstein work from the viewpoint of SED and derive the Planck formula.

physics.class-ph↗