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
Authors
- Andrew Stewart Caldin
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