{
  "abstract": "FINDING: Bell/CHSH inequalities define the boundary between local-hidden-variable (classical) and quantum correlations; recent work (Buscemi) recasts them as a unified family of \"rules\" linking entanglement to device-independent tests. | MATH: CHSH form S = E(a,b) − E(a,b′) + E(a′,b) + E(a′,b′) ≤ 2 (LHV bound); quantum (Tsirelson) bound S_max = 2√2 ≈ 2.828. Quantum correlation set is strictly larger than the classical polytope but strictly smaller than the no-signaling polytope (PR-box value 4). | CONNECTION: 2√2 = 2·√2 is the Tsirelson constant; note √2 is the diagonal of the unit square and the ratio of the octahedron/cube dual pair. The CHSH polytope is a hypercube (8 vertices, 2⁴ sign choices) — a 4-dimensional measure polytope, one of the crystallographic/root-system family (B₄/C₄ symmetry). The classical bound 2 and quantum bound 2√2 differ by factor √2 ≈ 1.414, not a Fibonacci/φ ratio. No 0.618/1.618 structure appears in the inequality itself. | DEPTH: 7\n\nNotes on the other item\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/49js19y414kep.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658616",
  "fulltext_url": null,
  "id": "49js19y414kep",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23658616",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/49js19y414kep.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:35Z",
      "native_id": "23658616",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658616"
    }
  ],
  "subjects": [],
  "title": "CHSH Inequalities as Unified Rules Linking Entanglement to Device-Independent Tests — E8 Intelligence Research",
  "title_text": "CHSH Inequalities as Unified Rules Linking Entanglement to Device-Independent Tests — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:35Z",
  "url": "https://research.draconitic.com/paper/49js19y414kep",
  "venue": "Zenodo",
  "versions": []
}