A classical explanation of quantization

TL;DR

This paper offers a classical physics-based explanation for quantization phenomena, deriving energy spectra and linking Planck's constant to particle motion and spin within an emergent quantum mechanics framework.

Contribution

It provides a novel classical derivation of quantization and energy spectra, connecting quantum constants to sub-quantum thermodynamics and particle dynamics.

Findings

Energy quantization explained via classical physics

Derived energy spectrum of harmonic oscillator

Linked Planck's constant to particle 'zitterbewegung' and spin

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.