Satellite Bell Tests Confirm Distance-Independent Quantum Nonlocality at Tsirelson Bound 2√2 — E8 Intelligence Research

FINDING: Satellite Bell tests confirm Tsirelson bound 2√2 as distance-independent — quantum nonlocality persists across 1200 km with no attenuation of correlation strength | MATH: CHSH inequality |S| ≤ 2 (classical local hidden variables); quantum maximum |S| = 2√2 ≈ 2.8284; measured S values in satellite experiments ~2.5–2.7 (limited by detector efficiency, not distance); no distance-dependent decay term observed | CONNECTION: 2√2 = 2 × √2 is the operator norm of the tensor product of two Pauli observables; it arises from the geometry of the Bloch sphere (real projective plane RP²) — specifically from the maximum of ⟨A₁B₁⟩ + ⟨A₁B₂⟩ + ⟨A₂B₁⟩ − ⟨A₂B₂⟩ over projective measurements. The ratio 2√2/2 = √2 ≈ 1.414 is the quantum-to-classical gap, not a Fibonacci/φ ratio. However, √2 is the diagonal of the unit square and appears in the octahedral/cubic root system B₃ normalization. No direct link to 0.618, 1.618, or base-60 in the Tsirelson bound itself | DEPTH: 7 --- FINDING: Bell nonloca Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com