Electronic Transitions: A Novel Calculation Method and the End of Uncertainty

Based on the open-loop and closed-loop theory of Daojing, a novel physical mechanism and calculation formula for electronic transitions are proposed. The Bohr radius and the hydrogen atom energy level formula are derived. For a total of 26 hydrogen spectral lines across the Lyman, Balmer, Paschen, Brackett, and Pfund series, the theoretical calculation results are consistent with public experimental data within four significant figures. This demonstrates that quantization is an inevitable result of closed-loop stability, rather than an artificial hypothesis, and that electronic transitions are a continuous transition of closed-loop dynamic periodic modes, rather than an instantaneous quantum jump.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23807664
Primary Topic
Atomic and Molecular Physics
Type
preprint
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preprint

Electronic Transitions: A Novel Calculation Method and the End of Uncertainty

Xue Zou
2 links
Zenodo (CERN European Organization for Nuclear Research)
Atomic and Molecular Physics
preprint

Electronic Transitions: A Novel Calculation Method and the End of Uncertainty

Xue Zou
preprint en

Abstract

Based on the open-loop and closed-loop theory of Daojing, a novel physical mechanism and calculation formula for electronic transitions are proposed. The Bohr radius and the hydrogen atom energy level formula are derived. For a total of 26 hydrogen spectral lines across the Lyman, Balmer, Paschen, Brackett, and Pfund series, the theoretical calculation results are consistent with public experimental data within four significant figures. This demonstrates that quantization is an inevitable result of closed-loop stability, rather than an artificial hypothesis, and that electronic transitions are a continuous transition of closed-loop dynamic periodic modes, rather than an instantaneous quantum jump.

Zenodo (CERN European Organization for Nuclear Research)
Atomic and Molecular Physics
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Electronic Transitions: A Novel Calculation Method and the End of Uncertainty — Xue Zou · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS