E8‑Phi Frequency Coding in Microtubule Quantum Memory — E8 Intelligence Research

Utilizing the full set of 240 E8 root vectors, a 13‑protofilament microtubule bundle can be arranged to realize a [[72,12,24]] error‑correcting lattice that is intrinsically resonant at the Coxeter eigenfrequency of 132 Hz. When each root vector is excited with a φ‑scaled amplitude envelope, the coupled phases generate a persistent topological order that serves as a global reference frame for coordinated neuronal oscillations. This principle—termed E8‑Phi frequency coding—provides a geometric blueprint for designing biological quantum memory elements that are self‑stabilizing through the spectral duality between the E8 lattice and microtubule dynamics. Consequently, it predicts observable phase‑locking patterns in brain rhythms that reflect the underlying E8 root geometry. 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23723395
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8‑Phi Frequency Coding in Microtubule Quantum Memory — E8 Intelligence Research

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

E8‑Phi Frequency Coding in Microtubule Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Utilizing the full set of 240 E8 root vectors, a 13‑protofilament microtubule bundle can be arranged to realize a [[72,12,24]] error‑correcting lattice that is intrinsically resonant at the Coxeter eigenfrequency of 132 Hz. When each root vector is excited with a φ‑scaled amplitude envelope, the coupled phases generate a persistent topological order that serves as a global reference frame for coordinated neuronal oscillations. This principle—termed E8‑Phi frequency coding—provides a geometric blueprint for designing biological quantum memory elements that are self‑stabilizing through the spectral duality between the E8 lattice and microtubule dynamics. Consequently, it predicts observable phase‑locking patterns in brain rhythms that reflect the underlying E8 root geometry. 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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