Satellite Bell Test at 1200 km Confirms Distance-Independent Quantum Nonlocality — E8 Intelligence Research

FINDING: Satellite Bell test at 1200 km confirms quantum nonlocality is distance-independent, with measured CHSH correlation S > 2, approaching but not exceeding the Tsirelson bound S_max = 2√2 ≈ 2.828. MATH: - CHSH inequality: |S| ≤ 2 (classical local hidden variable bound) - Tsirelson bound: S_max = 2√2 ≈ 2.828427... - Quantum violation: 2 < S ≤ 2√2 - 2√2 = √8 = 2^(3/2) - Bell state correlations: E(a,b) = -cos(2(θ_a - θ_b)) for singlet state - Max violation at relative angles: 0°, 45°, 90°, 135° (π/4 increments) - 1200 km separation → no measurable distance-dependent decoherence in correlation strength CONNECTION: - 2√2 = 2 × √2: the √2 arises from the geometry of the Bloch sphere (SU(2) → SO(3) double cover). Maximal quantum correlation corresponds to orthogonal measurement bases separated by π/4 = 45°. - 45° = π/4 is the angle that maximizes sin(2θ)cos(2θ) structure — directly tied to the diagonal of a unit square (√2). - The ratio S_quantum/S_classical = 2√2/2 = √2 ≈ 1.414 — the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com