A classical explanation of quantization
Quantum Physics
2011-08-30 v4 Classical Physics
Abstract
In the context of our recently developed emergent quantum mechanics, and, in particular, based on an assumed sub-quantum thermodynamics, the necessity of energy quantization as originally postulated by Max Planck is explained by means of purely classical physics. Moreover, under the same premises, also the energy spectrum of the quantum mechanical harmonic oscillator is derived. Essentially, Planck's constant h is shown to be indicative of a particle's "zitterbewegung" and thus of a fundamental angular momentum. The latter is identified with quantum mechanical spin, a residue of which is thus present even in the non-relativistic Schroedinger theory.
Cite
@article{arxiv.0812.3561,
title = {A classical explanation of quantization},
author = {Gerhard Groessing and Johannes Mesa Pascasio and Herbert Schwabl},
journal= {arXiv preprint arXiv:0812.3561},
year = {2011}
}
Comments
20 pages; version accepted for publication in Foundations of Physics