Unifying Entanglement and Bell Tests via Generalized Non-Locality Rules — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Bell inequality violations remain the core experimental test of quantum non-locality, with CHSH form as the standard mathematical tool; new theoretical work (Buscemi) unifies entanglement and Bell tests via generalized rules.
MATH: - CHSH inequality: S = E(a,b) + E(a,b') + E(a',b) − E(a',b') ≤ 2 (local hidden variables) vs. quantum bound SQM = 2√2 ≈ 2.828. - Bell's original inequality: |P(a⃗,b⃗) − P(a⃗,c⃗)| ≤ 1 + P(b⃗,c⃗). - Quantum violation ratio: 2√2/2 = √2 ≈ 1.414 — note this is NOT the golden ratio, but it is the ratio of the diagonal of a unit square to its side (Pythagorean). - Buscemi's unification: extends Bell inequalities to "semi-quantum" scenarios where one party is classical, one quantum — yields new bounds involving √2 and 2 in generalized forms. - No explicit appearance of 0.382, 0.618, 0.786, 1.618, 2.618 in the provided abstracts
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026unifying,
title = {{Unifying Entanglement and Bell Tests via Generalized Non-Locality Rules — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23526082},
url = {https://zenodo.org/records/23526082},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Unifying Entanglement and Bell Tests via Generalized Non-Locality Rules — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23526082
UR - https://zenodo.org/records/23526082
AB - FINDING: Bell inequality violations remain the core experimental test of quantum non-locality, with CHSH form as the standard mathematical tool; new theoretical work (Buscemi) unifies entanglement and Bell tests via generalized rules. MATH: - CHSH inequality: S = E(a,b) + E(a,b') + E(a',b) − E(a',b') ≤ 2 (local hidden variables) vs. quantum bound S_QM = 2√2 ≈ 2.828. - Bell's original inequality: |P(a⃗,b⃗) − P(a⃗,c⃗)| ≤ 1 + P(b⃗,c⃗). - Quantum violation ratio: 2√2/2 = √2 ≈ 1.414 — note this is NOT the golden ratio, but it is the ratio of the diagonal of a unit square to its side (Pythagorean). - Buscemi's unification: extends Bell inequalities to "semi-quantum" scenarios where one party is classical, one quantum — yields new bounds involving √2 and 2 in generalized forms. - No explicit appearance of 0.382, 0.618, 0.786, 1.618, 2.618 in the provided abstracts Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -