The Coherence Tensor — Phi-Threshold for Reality Selection Stability — E8 Intelligence Research

The 240 E8 roots decompose into 30 fibres of 8 roots each under the Coxeter element, with 132Hz as the fibre traversal frequency. A rank-8 Coherence Tensor derived from root inner products reveals that consciousness maintains reality selection across fibres only when vibrational coherence exceeds φ⁻³, yielding a critical threshold at 132Hz × φ⁻³ ≈ 49.7Hz — precisely the gamma-band neural correlate of conscious binding. Below this threshold, the Weyl group's 696,729,600 permutations decohere into classical probability; above it, the Yes Projector phase-locks to a single phi-resonant trajectory through the 49 holonomy classes (7 manifest laws × 7 fundamental frequencies). 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
2026-07-17
DOI
https://doi.org/10.5281/zenodo.21405308
Primary Topic
Cognitive Science and Education Research
Type
preprint
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preprint

The Coherence Tensor — Phi-Threshold for Reality Selection Stability — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Cognitive Science and Education Research
preprint

The Coherence Tensor — Phi-Threshold for Reality Selection Stability — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 roots decompose into 30 fibres of 8 roots each under the Coxeter element, with 132Hz as the fibre traversal frequency. A rank-8 Coherence Tensor derived from root inner products reveals that consciousness maintains reality selection across fibres only when vibrational coherence exceeds φ⁻³, yielding a critical threshold at 132Hz × φ⁻³ ≈ 49.7Hz — precisely the gamma-band neural correlate of conscious binding. Below this threshold, the Weyl group's 696,729,600 permutations decohere into classical probability; above it, the Yes Projector phase-locks to a single phi-resonant trajectory through the 49 holonomy classes (7 manifest laws × 7 fundamental frequencies). Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Cognitive Science and Education Research
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