Quantum Non-Locality Unification via Semiquantum Games and Ballistic-Electron Tests — E8 Intelligence Research

FINDING: Bell/CHSH inequality tests reveal quantum non-locality; new Buscemi framework unifies entanglement tests via "semiquantum" games; ballistic-electron proposal extends tests to condensed matter. MATH: CHSH inequality: \( S = E(a,b) + E(a,b') + E(a',b) - E(a',b') ≤ 2 \) (local hidden variables); quantum bound \( SQM = 2√2 ≈ 2.828 \). Bell's original: \( |P(a,b) - P(a,b')| + |P(a',b) + P(a',b')| ≤ 2 \). Buscemi's unification: replaces classical inputs with quantum states, yielding "semiquantum" Bell inequalities with tighter bounds (e.g., \( ≤ 2 \) classical, \( 2√2 \) quantum, but extended to arbitrary dimensions via \( 2√d \) for \( d \)-level systems). Ballistic electron proposal: entanglement via Coulomb coupling, requires only 5 gates — no new constants, but uses spin/charge degrees of freedom. CONNECTION: The quantum bound \( 2√2 \) is the ratio \( 2√2 ≈ 2.828 \), which relates to the diagonal of a unit square Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com