Quantum Non-Locality Unified via Buscemi Framework and Ballistic Electron Proposal — E8 Intelligence Research

Abstract

FINDING: Bell inequality tests confirm quantum non-locality; new Buscemi framework unifies entanglement tests via "unsteerability" conditions; condensed-matter proposal uses ballistic electrons in Coulomb-coupled quantum wires. | MATH: Bell's original inequality: \(P(a,b) - P(a,b') + P(a',b) + P(a',b') \leq 2\) (CHSH form: \(S = E(a,b)+E(a,b')+E(a',b)-E(a',b') \leq 2\)); quantum violation \(S_{\text{QM}} = 2\sqrt{2} \approx 2.828\) (Tsirelson bound). Buscemi's generalization replaces local hidden variables with "unsteerable" assemblages, yielding a hierarchy of inequalities with tighter bounds (e.g., \(S_{\text{Buscemi}} \leq 2\) for classical, \(2\sqrt{2}\) for quantum, but extended to non-projective measurements). Ballistic electron proposal: entanglement generation via Coulomb interaction in quantum wires, requiring only 5 gates; Bell test via spin/charge correlations with predicted violation \(S \approx 2.7\) (finite temperature corrections). | CONNECTION: Tsirelson bound \(2\sqrt{ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com