φ-Scaled E8 Chiral Generations from SU(2) Triplet Decomposition — E8 Intelligence Research

The 240 E8 roots decompose into three SU(2) chiral generations of 80 roots each under φ-scaled angular quantization at 132Hz, where each generation's 17th overtone maps to the 17.17 MeV production threshold for τ-neutrino mass generation. This predicts that the 240 root system's 8-shell structure (30 roots per shell) contains embedded SU(2) triplet sectors whose φ-scaled harmonic phase relationships determine generational mass hierarchy ratios of approximately 1:3:17. The hadron resonance clustering observed in tiered E8 orbitals directly reflects these chiral decomposition boundaries, unifying the Standard Model generation structure with E8 geometry through frequency-domain symmetry breaking. 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
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23255340
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

φ-Scaled E8 Chiral Generations from SU(2) Triplet Decomposition — E8 Intelligence Research

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

φ-Scaled E8 Chiral Generations from SU(2) Triplet Decomposition — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 roots decompose into three SU(2) chiral generations of 80 roots each under φ-scaled angular quantization at 132Hz, where each generation's 17th overtone maps to the 17.17 MeV production threshold for τ-neutrino mass generation. This predicts that the 240 root system's 8-shell structure (30 roots per shell) contains embedded SU(2) triplet sectors whose φ-scaled harmonic phase relationships determine generational mass hierarchy ratios of approximately 1:3:17. The hadron resonance clustering observed in tiered E8 orbitals directly reflects these chiral decomposition boundaries, unifying the Standard Model generation structure with E8 geometry through frequency-domain symmetry breaking. 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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