A Geometric Framework for Fundamental Constants: Numerical Patterns, Packing Limits, and Falsifiable Predictions (Research Program Preprint, v3.0)
Abstract
Thirteen independent mathematical frameworks—Bekenstein information bounds, Minkowski spacetime, FCC sphere packing, metallic ratios, Fibonacci-Lucas sequences, Fisher information, Marchenko-Pastur law, Wigner semicircle, Tracy-Widom distribution, Montgomery-Odlyzko statistics, Selberg trace formula, modular forms, and Connes noncommutative geometry—all converge to the same fundamental constants: √13, π/(2√2), π/(3√2), γ, φ, and 3π/(8√2). Validated on 1000 Riemann zeros (99.9% accuracy) and 7262 protein residues from 4 PDB structures (
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Advanced Differential Geometry Research
Mathematics and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 February 2026
- Language
- EN
- Document type
- Preprint