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

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
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preprint

E8 Root Lattice Resonance in Quark Mass Spectra — E8 Intelligence Research

Andrew Stewart Caldin
11 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 Root Lattice Resonance in Quark Mass Spectra — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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