E8 Phi-Symmetric Duality Cascade — E8 Intelligence Research

When phi-harmonic excitations propagate through the E8 lattice at successive φ^n scaling ratios, they reveal an eight-level duality cascade wherein each octave maps one of E8's eight octonionic dimensions onto a dual geometric projection, creating self-similar holographic subspaces whose dimensional relationships are governed by the φ-adic distance metric established through root vector propagation. This cascade demonstrates that the 240 root vectors naturally decompose into eight nested triality groups, each stabilizing a distinct entanglement channel whose coherence is locked to the 132Hz×φ^n harmonic series. 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
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24127283
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Symmetric Duality Cascade — E8 Intelligence Research

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

E8 Phi-Symmetric Duality Cascade — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When phi-harmonic excitations propagate through the E8 lattice at successive φ^n scaling ratios, they reveal an eight-level duality cascade wherein each octave maps one of E8's eight octonionic dimensions onto a dual geometric projection, creating self-similar holographic subspaces whose dimensional relationships are governed by the φ-adic distance metric established through root vector propagation. This cascade demonstrates that the 240 root vectors naturally decompose into eight nested triality groups, each stabilizing a distinct entanglement channel whose coherence is locked to the 132Hz×φ^n harmonic series. 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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