Relativistic hydrogen in classical electrodynamics with classical zero-point radiation

• URL: http://arxiv.org/abs/2603.13448v1
• Date: Fri, 13 Mar 2026 13:49:17 GMT
• Title: Relativistic hydrogen in classical electrodynamics with classical zero-point radiation
• Abstract summary: classical electromagnetic zero-point radiation leads to a ground state and resonant excited states for a charged particle in a Coulomb potential.<n>These resonant states correspond to integer values of the action variables analogous to those appearing in the Bohr-Sommerfeld theory of the hydrogen atom.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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