Theoretical proposal outlines generalized non-locality bounds and ballistic electron Bell tests in quantum wires, highlighting solid-state platforms for quantum verification.
FINDING: Bell inequality tests confirm quantum non-locality; new generalized rules unify entanglement tests; condensed-matter proposal uses ballistic electrons in quantum wires. MATH: Bell inequality: \(S = E(a,b) - E(a,b') + E(a',b) + E(a',b') ≤ 2\) (local hidden variables); quantum violation: \(SQM = 2√2 ≈ 2.828\) (CHSH). Buscemi's unification: replaces measurement settings with quantum inputs, yielding "nonlocal" bounds via semidefinite programming — generalized Bell functionals \(B(ρ) ≤ βlocal\) with \(βlocal\) derived from tensor product structures. Condensed-matter: entangled electron pairs via Coulomb coupling in quantum wires; Bell test with five gates — spin/charge degrees of freedom, violation expected at \(S ≈ 2.828\) for singlet state. CONNECTION: The CHSH maximum \(2√2\) relates to the golden ratio via \(2√2 = √8 ≈ 2.828\), and \(√2\) appears in root systems of \(D_4\) (cryst Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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