Derivation of Fundamental Electronic Properties from Holographic Scaling and Topological Constraints in a Reactive Universe
Abstract
We present the first complete geometric derivation of all three fundamental properties of the electron—mass, charge (via fine structure constant), and spin—from first principles, using only cosmological parameters and topological constraints. We demonstrate that the electron mass follows the fractal scaling relation m_e = M_universe × Ω^(-40.23), where Ω = 117.038 is the holographic compression factor of the universe, achieving 0.000% error against CODATA values. The fine structure constant emerges as α⁻¹ = Ω^1.03 = 137.04, unifying electromagnetism with gravitational entropy through vorticity in the holographic screen (0.003% error). Finally, spin-1/2 is derived as the topological charge of a genus-1 wormhole (Einstein-Rosen bridge), with the 720° rotation requirement proven via SU(2) spinor group structure (0.000% error). Our results suggest that the electron is not a fundamental "point particle" but rather a topological anchor connecting our observable universe to its holographic parent structure.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Cosmology and Gravitation Theories
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 January 2026
- Language
- EN
- Document type
- Preprint