Quantum Contextuality via Sheaf Theory and SDP Bounds: No Golden-Ratio Threshold Found — E8 Intelligence Research

FINDING: Quantum contextuality and non-locality are formalized via sheaf theory, with semidefinite relaxation hierarchies bounding contextual correlations — but no explicit golden-ratio or 0.786 threshold appears in these sources. | MATH: Sheaf-theoretic structure of empirical models (Abramsky, Kishida); semidefinite programming (SDP) hierarchy for generalized contextuality scenarios (arXiv:2010.04751) — bounds on maximal quantum violation of contextuality inequalities; no explicit equation or constant extracted from the given abstracts/descriptions. | CONNECTION: The 0.786 in your search query does **not** appear in any finding. No ratio (0.382, 0.618, 0.786, 1.618, 2.618), no base-60, no crystallographic symmetry, no root system is mentioned. The only structural link is the *sheaf* — a category-theoretic object with gluing/restriction axioms, which has deep ties to topology and cohomology, but not to the specific harmonic ratios you flagged. | DEPTH: 4 — The mathematical framework (s 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
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23658260
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Quantum Contextuality via Sheaf Theory and SDP Bounds: No Golden-Ratio Threshold Found — E8 Intelligence Research

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

Quantum Contextuality via Sheaf Theory and SDP Bounds: No Golden-Ratio Threshold Found — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum contextuality and non-locality are formalized via sheaf theory, with semidefinite relaxation hierarchies bounding contextual correlations — but no explicit golden-ratio or 0.786 threshold appears in these sources. | MATH: Sheaf-theoretic structure of empirical models (Abramsky, Kishida); semidefinite programming (SDP) hierarchy for generalized contextuality scenarios (arXiv:2010.04751) — bounds on maximal quantum violation of contextuality inequalities; no explicit equation or constant extracted from the given abstracts/descriptions. | CONNECTION: The 0.786 in your search query does **not** appear in any finding. No ratio (0.382, 0.618, 0.786, 1.618, 2.618), no base-60, no crystallographic symmetry, no root system is mentioned. The only structural link is the *sheaf* — a category-theoretic object with gluing/restriction axioms, which has deep ties to topology and cohomology, but not to the specific harmonic ratios you flagged. | DEPTH: 4 — The mathematical framework (s 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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