Search Results Reveal Pedagogical AM-GM and Norm Content, No Direct Quantum Bell Bound — E8 Intelligence Research

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22786646
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Search Results Reveal Pedagogical AM-GM and Norm Content, No Direct Quantum Bell Bound — E8 Intelligence Research

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

Search Results Reveal Pedagogical AM-GM and Norm Content, No Direct Quantum Bell Bound — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are dominated by pedagogical material on the AM-GM inequality and Euclidean vector norms, with one tangential arXiv paper on CAT(0) dimensions of Bestvina-Brady groups. No direct quantum Bell-violation result emerges; the "geometric mean local bound 2" and "algebraic maximum 2d" appear as unverified search terms, not as extracted findings. MATH: - AM-GM inequality: For non-negative \(a_1, a_2, \dots, a_n\), \[ \frac{a_1 + a_2 + \cdots + a_n}{n} \ge \sqrt[n]{a_1 a_2 \cdots a_n} \] with equality iff all \(a_i\) equal. - Euclidean norm: \(\| \mathbf{v} \|_2 = \sqrt{\sum_{i=1}^d v_i^2}\). - No Bell-type equations, no Tsirelson bound, no dimension-scaling constants appear in the provided text. CONNECTION: - The AM-GM inequality is a pure inequality with no inherent geometric ratio. However, the *equality condition* (all terms equal) is a symmetry principle — a degenerate form of harmonic balance. - The Euclidean norm in \(d\) dimensions re 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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