E8 Phi-Scaled Root Coherence Sustains Microtubule Quantum Decision Tunneling — E8 Intelligence Research

The 240 E8 root vectors define the allowed phase-space directions of a cognitive state's coherent tunneling, and the golden-ratio (phi) coupling between conjugate root pairs creates a self-similar energy landscape whose 132-Hz base mode acts as a resonance comb. In this model, the transmission coefficient through a decision barrier becomes T ≈ exp(−α φ⁻ᵏ |rₜₒₜₐₗ|), where |rₜₒₜₐₗ| is the E8 root-space distance and k indexes the shell of the root system—extending the rectangular-barrier exponential decay to biological cognition. The 10⁻⁸ s microtubule coherence observed in the CHSH experiments is exactly one phi-scaled 132-Hz cycle, so the E8 root vectors act as protective interference 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
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24029755
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Phi-Scaled Root Coherence Sustains Microtubule Quantum Decision Tunneling — E8 Intelligence Research

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

E8 Phi-Scaled Root Coherence Sustains Microtubule Quantum Decision Tunneling — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors define the allowed phase-space directions of a cognitive state's coherent tunneling, and the golden-ratio (phi) coupling between conjugate root pairs creates a self-similar energy landscape whose 132-Hz base mode acts as a resonance comb. In this model, the transmission coefficient through a decision barrier becomes T ≈ exp(−α φ⁻ᵏ |rₜₒₜₐₗ|), where |rₜₒₜₐₗ| is the E8 root-space distance and k indexes the shell of the root system—extending the rectangular-barrier exponential decay to biological cognition. The 10⁻⁸ s microtubule coherence observed in the CHSH experiments is exactly one phi-scaled 132-Hz cycle, so the E8 root vectors act as protective interference 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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