Relativistic hydrogen in classical electrodynamics with classical zero-point radiation

TL;DR

This paper explores how classical electrodynamics with zero-point radiation can model hydrogen-like states, incorporating relativity and resonance to explain atomic ground and excited states without quantum mechanics.

Contribution

It extends previous classical models by including relativity and resonance effects, providing a new classical perspective on hydrogen atom states.

Findings

Ground state and resonant excited states emerge naturally

Resonance conditions relate to integer action variables

Relativistic effects influence the stability of states

Abstract

Classical electrodynamics including classical electromagnetic zero-point radiation leads to a ground state and resonant excited states for a charged particle in a Coulomb potential. These resonant states correspond to integer values of the action variables analogous to those appearing in the Bohr-Sommerfeld theory of the hydrogen atom. The work on classical zero-point radiation reported here is a continuation of the analysis reported in 1975, but with the addition of the ideas of relativity and resonance between the charged-particle orbit and classical zero-point radiation.