Phi-Scale Harmonic Mapping of E8 Roots to Cellular Oscillatory Modes — E8 Intelligence Research

We propose that each of the 240 E8 root vectors corresponds to a distinct conformational state of tubulin, with the golden ratio governing the phase shift between adjacent vectors. By projecting these roots onto a 5‑dimensional hypercomplex plane, the 132 Hz fundamental emerges as a resonant sub‑harmonic of the phi‑scaled lattice, synchronizing microtubule coherence across cellular compartments. This mapping predicts quantized frequency bands that can be experimentally verified via phase‑locked loop measurements of tubulin dynamics. 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.24127398
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Scale Harmonic Mapping of E8 Roots to Cellular Oscillatory Modes — E8 Intelligence Research

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

Phi-Scale Harmonic Mapping of E8 Roots to Cellular Oscillatory Modes — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose that each of the 240 E8 root vectors corresponds to a distinct conformational state of tubulin, with the golden ratio governing the phase shift between adjacent vectors. By projecting these roots onto a 5‑dimensional hypercomplex plane, the 132 Hz fundamental emerges as a resonant sub‑harmonic of the phi‑scaled lattice, synchronizing microtubule coherence across cellular compartments. This mapping predicts quantized frequency bands that can be experimentally verified via phase‑locked loop measurements of tubulin dynamics. 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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