Ballistic Electron Bell Test: A Semiconductor Platform for Nonlocality Verification — E8 Intelligence Research

FINDING: Bell inequality test with ballistic electrons in semiconductors proposes a condensed-matter platform for entanglement and nonlocality verification. | MATH: Bell inequality violation condition: \( S = |E(a,b) - E(a,b')| + |E(a',b) + E(a',b')| \leq 2 \) (local hidden variable bound); quantum mechanical maximum \( S = 2\sqrt{2} \approx 2.828 \); entangled state preparation via Coulomb-coupled quantum wires using only five gates. | CONNECTION: No direct geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60, crystallographic symmetries, or root systems appear in the findings. The \( 2\sqrt{2} \) constant is a quadratic irrational, not a golden-ratio-derived number. | DEPTH: 7 — The proposal is a novel experimental test of a foundational quantum principle, but it does not introduce new mathematical constants or geometric structures; it applies known quantum formalism to a new physical system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-20
DOI
https://doi.org/10.5281/zenodo.22022292
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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Ballistic Electron Bell Test: A Semiconductor Platform for Nonlocality Verification — E8 Intelligence Research

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

Ballistic Electron Bell Test: A Semiconductor Platform for Nonlocality Verification — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Bell inequality test with ballistic electrons in semiconductors proposes a condensed-matter platform for entanglement and nonlocality verification. | MATH: Bell inequality violation condition: \( S = |E(a,b) - E(a,b')| + |E(a',b) + E(a',b')| \leq 2 \) (local hidden variable bound); quantum mechanical maximum \( S = 2\sqrt{2} \approx 2.828 \); entangled state preparation via Coulomb-coupled quantum wires using only five gates. | CONNECTION: No direct geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60, crystallographic symmetries, or root systems appear in the findings. The \( 2\sqrt{2} \) constant is a quadratic irrational, not a golden-ratio-derived number. | DEPTH: 7 — The proposal is a novel experimental test of a foundational quantum principle, but it does not introduce new mathematical constants or geometric structures; it applies known quantum formalism to a new physical system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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