This paper shows that atomic orbital quantization arises naturally from classical phase synchronization between the oscillatory electromagnetic fields of the proton, electron, and the electron's orbital motion. Stable atomic states emerge only at discrete phase-lock conditions, providing a classical analog that reproduces several atomic quantization formulas without invoking quantum wavefunctions. Additionally, the fine-structure constant acquires physical meaning as the coupling parameter governing phase coherence between internal and orbital oscillations. Phase locking also reproduces the absence of radiation in steady states, as synchronized fields cancel outgoing emission. When applied to Hydrogen, this framework reproduces the Bohr radius, Rydberg constant, and observed emission spectrum using only Coulombic dynamics and phase locking. Helium and Lithium spectra are also calculated. This work presents a deterministic, classical analog framework that reproduces selected atomic quantization results and may offer insight into synchronization-like mechanisms underlying quantum.
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John T. Preston
Harry Ian Epstein
Physics Essays
Science Wares (United States)
Glen Ellyn Public Library
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Preston et al. (Wed,) studied this question.
www.synapsesocial.com/papers/69db37f94fe01fead37c61f6 — DOI: https://doi.org/10.4006/0836-1398-39.1.088