Sheaf-Theoretic Quantum Contextuality and Semidefinite Bounds: A Rigorous Hierarchy — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Quantum contextuality and non-locality are formalized via sheaf theory, with a hierarchy of semidefinite relaxations bounding contextual correlations; a separate video claims a golden-ratio link to quantum physics but lacks mathematical rigor. | MATH: No explicit equations or constants in the provided abstracts; the key formal objects are sheaves (restriction/gluing functors), empirical models, and semidefinite programming hierarchies (e.g., NPA-type relaxations) for bounding quantum contextual correlations. The 0.786 constant does not appear in any finding; the golden ratio video is non-technical and unverified. | CONNECTION: No direct geometric harmony (0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry) is mathematically substantiated in these sources. The sheaf-theoretic structure does relate to lattice theory (presheaves/cosheaves on measurement contexts), but no root-system or crystallographic link is stated. The golden-ratio video is a pop-science cla
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026sheaftheoretic,
title = {{Sheaf-Theoretic Quantum Contextuality and Semidefinite Bounds: A Rigorous Hierarchy — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635173},
url = {https://zenodo.org/records/23635173},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Sheaf-Theoretic Quantum Contextuality and Semidefinite Bounds: A Rigorous Hierarchy — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635173
UR - https://zenodo.org/records/23635173
AB - FINDING: Quantum contextuality and non-locality are formalized via sheaf theory, with a hierarchy of semidefinite relaxations bounding contextual correlations; a separate video claims a golden-ratio link to quantum physics but lacks mathematical rigor. | MATH: No explicit equations or constants in the provided abstracts; the key formal objects are sheaves (restriction/gluing functors), empirical models, and semidefinite programming hierarchies (e.g., NPA-type relaxations) for bounding quantum contextual correlations. The 0.786 constant does not appear in any finding; the golden ratio video is non-technical and unverified. | CONNECTION: No direct geometric harmony (0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry) is mathematically substantiated in these sources. The sheaf-theoretic structure does relate to lattice theory (presheaves/cosheaves on measurement contexts), but no root-system or crystallographic link is stated. The golden-ratio video is a pop-science cla Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -