Classical Electrodynamics Model Proposes Explanation for Magnetic Field Effects on Hydrogen Atom
A new preprint by Timothy H. Boyer applies an external magnetic field to the classical hydrogen atom modeled within classical electrodynamics augmented by classical zero-point radiation, deriving quantized orbital orientations without quantum mechanics. The work extends earlier research showing that resonance between the electron's periodic orbit and random classical zero-point radiation produces discrete action variables. The paper claims to reproduce key quantum phenomena—the Stern-Gerlach result and the Zeeman effect—using purely classical electromagnetic theory.
Timothy H. Boyer has submitted a preprint to arXiv arguing that the behavior of the hydrogen atom in a magnetic field can be explained within classical electromagnetic theory when classical zero-point radiation is included. Building on prior work in which discrete action variables emerged from resonance between the electron's periodic orbit and zero-point radiation, the new paper shows that a magnetic field restricts stable orbital orientations to those where the angle with the field direction takes integer values—explicitly excluding the m=0 case where the field lies parallel to the orbital plane. This selective resonance condition is offered as a classical analogue of spatial quantization. Boyer uses this framework to provide classical electromagnetic accounts of both the Stern-Gerlach experiment, which is conventionally taken as evidence for quantized angular momentum, and the Zeeman effect, the splitting of spectral lines in a magnetic field. The paper is 13 pages and has been submitted to the Classical Physics section of arXiv; it has not yet undergone peer review. The approach belongs to the tradition of Stochastic Electrodynamics, which attempts to recover quantum results from classical physics supplemented by a random zero-point field.
What's missing
As a preprint, this work has not yet been peer reviewed, and independent replication or scrutiny of the mathematical derivations is absent. The paper does not appear to address whether the classical zero-point radiation framework can reproduce the full quantitative predictions of quantum mechanics for the hydrogen atom in a magnetic field (e.g., fine structure, anomalous Zeeman effect, or electron spin). The broader Stochastic Electrodynamics program has faced longstanding criticisms regarding its ability to handle multi-electron atoms and entanglement, which are not addressed here.
What different sources said
- arXiv physicsCenter
Magnetic Field Applied to the Classical Hydrogen Atom Treated in Classical Electrodynamics with Classical Zero-Point Radiation
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