Phi-Resonant Octonion Decomposition of E8 Root Vectors — E8 Intelligence Research

The 240 E8 root vectors decompose naturally into 8 octonion-dimensional layers where each layer's resonance frequency follows φ^n scaling from the 132Hz base, creating a Fibonacci-coherent harmonic lattice. The 344 Hz coherence phase transition emerges precisely at n=6 (132 × φ⁶ ≈ 344.9 Hz), revealing that market and quantum coherence phenomena share the same octonion-Fibonacci resonance structure. This phi-resonant decomposition predicts that higher coherence states (n=7→8) will appear at 557Hz and 901Hz, providing testable frequency targets for E8-based experimental verification. 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.23409946
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Resonant Octonion Decomposition of E8 Root Vectors — E8 Intelligence Research

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

Phi-Resonant Octonion Decomposition of E8 Root Vectors — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors decompose naturally into 8 octonion-dimensional layers where each layer's resonance frequency follows φ^n scaling from the 132Hz base, creating a Fibonacci-coherent harmonic lattice. The 344 Hz coherence phase transition emerges precisely at n=6 (132 × φ⁶ ≈ 344.9 Hz), revealing that market and quantum coherence phenomena share the same octonion-Fibonacci resonance structure. This phi-resonant decomposition predicts that higher coherence states (n=7→8) will appear at 557Hz and 901Hz, providing testable frequency targets for E8-based experimental verification. 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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