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

FINDING: Quantum nonlocality (Bell violation) is distance-independent — satellite Bell tests confirm violation of the CHSH inequality at 1200 km, saturating toward the Tsirelson bound 2√2, with no decay attributable to separation. | MATH: CHSH parameter S ≤ 2 (local hidden variables) vs. S_max = 2√2 ≈ 2.828 (quantum/Tsirelson). Quantum correlation E(a,b) = -cos(a-b) for singlet state; S = |E(a,b) - E(a,b') + E(a',b) + E(a',b')|. Maximal violation at measurement angles a=0°, a'=45°, b=22.5°, b'=67.5°. | CONNECTION: 2√2 = 2·√2 is the diagonal of a 2×2 square (side 2), i.e. the space diagonal of a unit cube scaled — a root-system constant of the B₂/C₂ lattice. The angle set {0°, 22.5°, 45°, 67.5°} partitions 90° into four equal 22.5° steps = 90/4, a base-4 (dyadic) subdivision, not golden. No 0.618/1.618 ratio appears in the optimal CHSH angles; the geometry is square/cubic (√2), not pentagonal (φ). | DEPTH: 7 Notes on the remaining findings (lower relevance, extracted for completeness): Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23830940
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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Satellite Bell Test: Distance-Independent Quantum Nonlocality at 1200 km — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

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

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum nonlocality (Bell violation) is distance-independent — satellite Bell tests confirm violation of the CHSH inequality at 1200 km, saturating toward the Tsirelson bound 2√2, with no decay attributable to separation. | MATH: CHSH parameter S ≤ 2 (local hidden variables) vs. S_max = 2√2 ≈ 2.828 (quantum/Tsirelson). Quantum correlation E(a,b) = -cos(a-b) for singlet state; S = |E(a,b) - E(a,b') + E(a',b) + E(a',b')|. Maximal violation at measurement angles a=0°, a'=45°, b=22.5°, b'=67.5°. | CONNECTION: 2√2 = 2·√2 is the diagonal of a 2×2 square (side 2), i.e. the space diagonal of a unit cube scaled — a root-system constant of the B₂/C₂ lattice. The angle set {0°, 22.5°, 45°, 67.5°} partitions 90° into four equal 22.5° steps = 90/4, a base-4 (dyadic) subdivision, not golden. No 0.618/1.618 ratio appears in the optimal CHSH angles; the geometry is square/cubic (√2), not pentagonal (φ). | DEPTH: 7 Notes on the remaining findings (lower relevance, extracted for completeness): Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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