Critical Planckian Spin Dynamics: Geometric Derivation of the Fine Structure Constant.
Abstract
We present Critical Planckian Spin Dynamics (CPSD), a geometric framework deriving the fine structure constant $\alpha^{-1}=137.036$ from first principles. Starting from five irreducible axioms, we prove the 600-cell is the unique compatible 4D polytope. Electromagnetic resonance analysis yields $N_{opt}=137.035999206$, matching $\alpha^{-1}$ within experimental uncertainty. The theory contains zero free parameters and incorporates the golden ratio as a geometric consequence.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Relativity and Gravitational Theory
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 13 February 2026
- Language
- EN
- Document type
- Preprint