Deriving Planck's Constant from Hydrogen Atom Geometry
Abstract
I derive Planck’s constant from the geometry of the hydrogen atom, achieving 0.018%agreement with CODATA. The derivation rests on a single postulate—that the hydrogenground state is one radian of a natural energy quantum—motivated by the telescoping seriesover atomic transitions. A geometric interpretation of the fine structure constant refines theresult but does not affect the principle. The result demonstrates that h is not an independentfundamental constant but a geometric consequence of atomic structure.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Atomic and Molecular Physics
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 January 2026
- Language
- EN
- Document type
- Preprint