Preliminary Evidence That Portions of the Standard Model Emerge from an O(6) Symmetry-Preservation Principle (EGN Framework)
Abstract
We report preliminary evidence that multiple Standard Model (SM) scales and ratios can be reproduced from a geometry-first framework — Emergent Geometric Necessity (EGN) — in which a 6D symmetry-preserving manifold projects into 4D without fitted physical parameters. Four guardrails (closed-loop 2π, Hilbert 1/π causal kernel, packing π/(2√3), orthogonality fairness 1/6) constrain a minimum-shear constant δ that behaves as a fixed point. Independent cross-guardrail identities yield small-strain roots near δ≈0.015–0.016; numerical sweeps exhibit a resonance well centered near δ≈0.015. Using only geometric seeds {1, π, 2π, √2, √3, φ} and an exponent ladder, a zero-tuning crystal projection reproduces a 13‑order‑of‑magnitude barcode of SM values, with high-precision matches at the neutrino floor, the electron base tone, and the top-quark scale. We detail reproducibility via code artifacts and sensitivity analysis. This preprint serves to timestamp priority and invite critique.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Particle physics theoretical and experimental studies
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 13 January 2026
- Language
- EN
- Document type
- Preprint