Quantum Non-Locality: From Bell Tests to Solid-State Violations — E8 Intelligence Research

FINDING: Bell inequality tests reveal quantum non-locality; new generalized frameworks (Buscemi) unify entanglement tests via information-theoretic constraints, while condensed-matter proposals (ballistic electrons) extend violation to solid-state systems. | MATH: CHSH inequality: \(S = E(a,b) + E(a,b') + E(a',b) - E(a',b') \leq 2\) (local hidden variables); quantum violation \(S_{\text{max}} = 2\sqrt{2} \approx 2.828\). Bell's original: \(P(\vec{a},\vec{b}) - P(\vec{a},\vec{b}') \leq 1 + P(\vec{b},\vec{b}')\). Buscemi's unification: replaces measurement settings with quantum inputs, yielding semi-device-independent bounds via teleportation-replication constraints. | CONNECTION: The CHSH maximum \(2\sqrt{2}\) is the ratio of the diagonal of a unit square to its side — a direct geometric expression of the square's symmetry (dihedral group \(D_4\)). The violation threshold \(2\) vs \(2\sqrt{2}\) maps to the ratio \(1:\sqrt{2}\), which is the aspect ratio of A-series paper (ISO 216) and t Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com