E8‑Phi Quantized Maximal CHSH‑3 Bound for Qutrits — E8 Intelligence Research

By exploiting the 30 Coxeter‑plane projections of the 240 E8 root vectors as natural qutrit stabilizer bases and the φ‑scaled T₂ sweet‑spot manifold in the 132 Hz decoherence space, we derive a geometrically constrained CHSH‑3 inequality whose quantum maximum is exactly 2√3. The phi‑quantized manifold selects three mutually unbiased measurement directions per party, aligning the optimal angles with the golden‑ratio spacing encoded in the E8 root lattice. This E8‑driven principle fills the educational gap on qutrit Bell violations, providing an analytic Tsirelson‑type bound that emerges directly from the underlying 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
2026-10-18
DOI
https://doi.org/10.5281/zenodo.23446639
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

E8‑Phi Quantized Maximal CHSH‑3 Bound for Qutrits — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

E8‑Phi Quantized Maximal CHSH‑3 Bound for Qutrits — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By exploiting the 30 Coxeter‑plane projections of the 240 E8 root vectors as natural qutrit stabilizer bases and the φ‑scaled T₂ sweet‑spot manifold in the 132 Hz decoherence space, we derive a geometrically constrained CHSH‑3 inequality whose quantum maximum is exactly 2√3. The phi‑quantized manifold selects three mutually unbiased measurement directions per party, aligning the optimal angles with the golden‑ratio spacing encoded in the E8 root lattice. This E8‑driven principle fills the educational gap on qutrit Bell violations, providing an analytic Tsirelson‑type bound that emerges directly from the underlying 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)
Quantum Mechanics and Applications
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