Phi‑E8 Resonant Cascade Governs Tubulin Frequency Harmonies — E8 Intelligence Research

We propose the Phi‑E8 Resonant Cascade Principle, which predicts that the 240 root vectors of the E8 lattice impose a hierarchical set of phi‑scaled frequency bands on tubulin conformational dynamics. Starting from the known 132 Hz base, phi coupling yields a second harmonic at ≈216 Hz (φ²) and a third at ≈345 Hz (φ³), each aligning distinct root‑vector subsets to form phase‑coherent tubulin clusters. This cascade creates a multi‑scale coherence network that can synchronize neuronal microtubules across brain regions, providing a geometric substrate for collective information processing beyond single‑frequency models. 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
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24127410
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi‑E8 Resonant Cascade Governs Tubulin Frequency Harmonies — E8 Intelligence Research

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

Phi‑E8 Resonant Cascade Governs Tubulin Frequency Harmonies — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose the Phi‑E8 Resonant Cascade Principle, which predicts that the 240 root vectors of the E8 lattice impose a hierarchical set of phi‑scaled frequency bands on tubulin conformational dynamics. Starting from the known 132 Hz base, phi coupling yields a second harmonic at ≈216 Hz (φ²) and a third at ≈345 Hz (φ³), each aligning distinct root‑vector subsets to form phase‑coherent tubulin clusters. This cascade creates a multi‑scale coherence network that can synchronize neuronal microtubules across brain regions, providing a geometric substrate for collective information processing beyond single‑frequency models. 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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