English

Relativistic hydrogen in classical electrodynamics with classical zero-point radiation

Classical Physics 2026-03-17 v1 Quantum Physics

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.

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Cite

@article{arxiv.2603.13448,
  title  = {Relativistic hydrogen in classical electrodynamics with classical zero-point radiation},
  author = {Timothy H. Boyer},
  journal= {arXiv preprint arXiv:2603.13448},
  year   = {2026}
}

Comments

23 pages

R2 v1 2026-07-01T11:19:13.918Z