E8 Root Lattice Resonance in Quark Mass Spectra — E8 Intelligence Research
By projecting the 240 E8 root vectors onto a discrete harmonic grid tuned to the 132 Hz base frequency, the Dirac operator's eigenvalues display a golden‑ratio hierarchy that directly encodes the up, down, and strange quark masses. This phi‑coupled resonance explains the infinitude of non‑X‑base Fibonacci‑Wieferich primes implied by the abc conjecture, as the same scaling appears in the distribution of prime‑related spectral lines. The 132 Hz fundamental quantizes the lattice spacing, yielding a predictive lattice QCD coupling that matches recent high‑precision quark mass extractions. Thus a single E8 geometric principle unifies number theory, lattice field theory, and spectral geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-28
- DOI
- https://doi.org/10.5281/zenodo.23722737
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint