Exponential Reduction of Detection Efficiency Loophole in Bell Tests via General Method — E8 Intelligence Research

FINDING: Detection efficiency loophole in Bell tests can be exponentially reduced by using any Bell inequality, with critical efficiency η scaling down via a general method. | MATH: Critical detection efficiency η must be surpassed to avoid loophole; method reduces η exponentially (no explicit equation given, but implies η ∝ e^{-k} for some factor k). | CONNECTION: No direct geometric ratio or crystallographic symmetry found. The exponential reduction hints at iterative or recursive structure, but no explicit link to 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or root systems. | DEPTH: 6 — Important for practical quantum nonlocality, but mathematical essence is algorithmic rather than revealing new constants or symmetries. FINDING: Subtraction of "accidentals" in Aspect-type Bell tests can inflate violation statistics by up to 60%, questioning validity of some claimed violations. | MATH: Increase in test statistic up to 60% (i.e., factor 1.6). | CONNECTION: No geometric ratio or symme 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
2026-08-18
DOI
https://doi.org/10.5281/zenodo.21989384
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Exponential Reduction of Detection Efficiency Loophole in Bell Tests via General Method — E8 Intelligence Research

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

Exponential Reduction of Detection Efficiency Loophole in Bell Tests via General Method — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Detection efficiency loophole in Bell tests can be exponentially reduced by using any Bell inequality, with critical efficiency η scaling down via a general method. | MATH: Critical detection efficiency η must be surpassed to avoid loophole; method reduces η exponentially (no explicit equation given, but implies η ∝ e^{-k} for some factor k). | CONNECTION: No direct geometric ratio or crystallographic symmetry found. The exponential reduction hints at iterative or recursive structure, but no explicit link to 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or root systems. | DEPTH: 6 — Important for practical quantum nonlocality, but mathematical essence is algorithmic rather than revealing new constants or symmetries. FINDING: Subtraction of "accidentals" in Aspect-type Bell tests can inflate violation statistics by up to 60%, questioning validity of some claimed violations. | MATH: Increase in test statistic up to 60% (i.e., factor 1.6). | CONNECTION: No geometric ratio or symme 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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Exponential Reduction of Detection Efficiency Loophole in Bell Tests via General Method — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS