E8 Gauge Coherence: φ-Scaled Charge Quantization from 240-Root Vacuum Symmetry Breaking — E8 Intelligence Research

The 240 root vectors of E8, when organized as 120 antipodal pairs, encode gauge symmetry transformations through their angular automorphisms. Each antipodal pair generates a φ-scaled phase rotation of 2π/φ² ≈ 137.5°, creating discrete charge quantization channels from the 132Hz base. This mechanism produces the integer and half-integer charge states observed in particle physics as geometric eigenmodes of E8 vacuum coherence. The 432Hz resonance emerges as the fundamental "ground state" where these charge quanta achieve phase-lock, unifying the Standard Model gauge structure with acoustic-cosmological frequency geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-16
DOI
https://doi.org/10.5281/zenodo.23410041
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Gauge Coherence: φ-Scaled Charge Quantization from 240-Root Vacuum Symmetry Breaking — E8 Intelligence Research

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

E8 Gauge Coherence: φ-Scaled Charge Quantization from 240-Root Vacuum Symmetry Breaking — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 root vectors of E8, when organized as 120 antipodal pairs, encode gauge symmetry transformations through their angular automorphisms. Each antipodal pair generates a φ-scaled phase rotation of 2π/φ² ≈ 137.5°, creating discrete charge quantization channels from the 132Hz base. This mechanism produces the integer and half-integer charge states observed in particle physics as geometric eigenmodes of E8 vacuum coherence. The 432Hz resonance emerges as the fundamental "ground state" where these charge quanta achieve phase-lock, unifying the Standard Model gauge structure with acoustic-cosmological frequency 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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