Quantum Contextuality via Sheaf Theory and SDP Bounds: No Golden-Ratio Threshold Found — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026quantum,
title = {{Quantum Contextuality via Sheaf Theory and SDP Bounds: No Golden-Ratio Threshold Found — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658261},
url = {https://zenodo.org/records/23658261},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Contextuality via Sheaf Theory and SDP Bounds: No Golden-Ratio Threshold Found — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658261
UR - https://zenodo.org/records/23658261
AB - 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
ER -