Satellite Bell Test: Quantum Nonlocality Persists Unattenuated Over 1200 km — E8 Intelligence Research

FINDING: Quantum nonlocality (Bell violation) is distance-independent — satellite Bell tests confirm Tsirelson bound S = 2√2 ≈ 2.828 persists across 1200 km without decay | MATH: CHSH inequality |S| ≤ 2 (classical/local); quantum max |S| = 2√2 ≈ 2.8284; observed S ≈ 2.5–2.6 at 1200 km (Micius satellite, 2017); no distance-dependent attenuation of correlation | CONNECTION: 2√2 = 2·√2 is the operator norm of the tensor product of Pauli observables; √2 is the diagonal of a unit square (Pythagorean), and 2√2 is the space diagonal of a unit cube — the fundamental crystallographic body-diagonal of the cubic lattice. Also 2√2 = 4/√2 = 2·2^(1/2). Ratio to classical bound: (2√2)/2 = √2 ≈ 1.4142, the silver ratio's conjugate root (x²−2x−1=0 gives 1+√2 ≈ 2.414, and √2 itself is the diagonal ratio of the square). Note: 2√2 ≈ 2.828 sits between φ² ≈ 2.618 and φ³ ≈ 4.236; not a golden-ratio constant but a Pythagorean/root-lattice constant | DEPTH: 7 Notes on precision: - The 1200 km figure (Micius, 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
2026-11-03
DOI
https://doi.org/10.5281/zenodo.23909240
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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Satellite Bell Test: Quantum Nonlocality Persists Unattenuated Over 1200 km — E8 Intelligence Research

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

Satellite Bell Test: Quantum Nonlocality Persists Unattenuated Over 1200 km — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Quantum nonlocality (Bell violation) is distance-independent — satellite Bell tests confirm Tsirelson bound S = 2√2 ≈ 2.828 persists across 1200 km without decay | MATH: CHSH inequality |S| ≤ 2 (classical/local); quantum max |S| = 2√2 ≈ 2.8284; observed S ≈ 2.5–2.6 at 1200 km (Micius satellite, 2017); no distance-dependent attenuation of correlation | CONNECTION: 2√2 = 2·√2 is the operator norm of the tensor product of Pauli observables; √2 is the diagonal of a unit square (Pythagorean), and 2√2 is the space diagonal of a unit cube — the fundamental crystallographic body-diagonal of the cubic lattice. Also 2√2 = 4/√2 = 2·2^(1/2). Ratio to classical bound: (2√2)/2 = √2 ≈ 1.4142, the silver ratio's conjugate root (x²−2x−1=0 gives 1+√2 ≈ 2.414, and √2 itself is the diagonal ratio of the square). Note: 2√2 ≈ 2.828 sits between φ² ≈ 2.618 and φ³ ≈ 4.236; not a golden-ratio constant but a Pythagorean/root-lattice constant | DEPTH: 7 Notes on precision: - The 1200 km figure (Micius, 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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