E8‑Phi Quantized Maximal CHSH‑3 Bound for Qutrits — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026e8phi,
title = {{E8‑Phi Quantized Maximal CHSH‑3 Bound for Qutrits — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446640},
url = {https://zenodo.org/records/23446640},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8‑Phi Quantized Maximal CHSH‑3 Bound for Qutrits — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446640
UR - https://zenodo.org/records/23446640
AB - 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
ER -