{
  "abstract": "FINDING: The search results are a scattered mix of probability-theory videos (Chernoff bounds, Markov/Tschebyscheff inequalities) and one relevant quantum information paper on CHSH-3 inequality violations for randomness generation. No direct Tsirelson-bound/D4-root-system content appears in the top results. | MATH: Chernoff bound: \\(P(\\sum X_i \\ge (1+\\delta)\\mu) \\le \\exp(-\\delta^2\\mu/3)\\) for \\(\\delta\\in(0,1)\\); Markov: \\(P(X\\ge a) \\le E[X]/a\\); Tschebyscheff: \\(P(|X-\\mu|\\ge k\\sigma) \\le 1/k^2\\). CHSH-3 inequality (from arXiv:2003.00124): a Bell-type inequality with three measurement settings per party; quantum violation computed via semidefinite programming (SDP) relaxations. | CONNECTION: The CHSH-3 paper's SDP hierarchy implicitly involves operator algebras and tensor products of qubit spaces — but no explicit D4 root system, golden ratio, or base-60 appears in the visible abstracts. The Chernoff bound's exponential decay has no direct geometric-harmony link. | DEPTH: 2 — The only s\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/ckjn9wsm07w3r.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409687",
  "fulltext_url": null,
  "id": "ckjn9wsm07w3r",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23409687",
  "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": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ckjn9wsm07w3r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:27Z",
      "native_id": "23409687",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23409687"
    }
  ],
  "subjects": [],
  "title": "Scattered Probability Bounds and CHSH-3 Randomness: No Direct Tsirelson-D4 Results — E8 Intelligence Research",
  "title_text": "Scattered Probability Bounds and CHSH-3 Randomness: No Direct Tsirelson-D4 Results — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:26Z",
  "url": "https://research.draconitic.com/paper/ckjn9wsm07w3r",
  "venue": "Zenodo",
  "versions": []
}