Phi-Embedded E8 Spinor Topology Stabilizes Microtubule Quantum States — E8 Intelligence Research

By embedding the phi‑scaled spinor bundle into the 240‑root lattice of E8, we derive a set of topological invariants that are quantized by the golden ratio. These invariants enforce a self‑similar phase‑locking condition among the 132 Hz fundamental mode and its higher harmonics, producing a protected coherence window in microtubule arrays. The resulting phase coherence persists across temperature and mechanical perturbations, offering a natural mechanism for long‑range quantum signaling in cellular structures. This principle extends the phi‑modulated E8 resonance concept from abstract lattice dynamics to biologically actionable quantum order. 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.24127644
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Embedded E8 Spinor Topology Stabilizes Microtubule Quantum States — E8 Intelligence Research

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

Phi-Embedded E8 Spinor Topology Stabilizes Microtubule Quantum States — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By embedding the phi‑scaled spinor bundle into the 240‑root lattice of E8, we derive a set of topological invariants that are quantized by the golden ratio. These invariants enforce a self‑similar phase‑locking condition among the 132 Hz fundamental mode and its higher harmonics, producing a protected coherence window in microtubule arrays. The resulting phase coherence persists across temperature and mechanical perturbations, offering a natural mechanism for long‑range quantum signaling in cellular structures. This principle extends the phi‑modulated E8 resonance concept from abstract lattice dynamics to biologically actionable quantum order. 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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