{
  "abstract": "FINDING: Search results are tangential — no direct paper on two-interval entanglement entropy, cross-ratio, and golden ratio; instead, general lectures on holographic entanglement entropy (Ryu-Takayanagi), entropic order parameters, and RG flow. No explicit golden-ratio or cross-ratio modular parameter result is present in the returned abstracts. | MATH: No new equations or constants extracted. The Ryu-Takayanagi formula \\(S_{EE} = \\frac{\\text{Area}(\\gamma)}{4G_N}\\) is referenced implicitly. Cross-ratio \\(\\eta = \\frac{(z_1-z_2)(z_3-z_4)}{(z_1-z_3)(z_2-z_4)}\\) and modular parameter \\(\\tau\\) are not mentioned in any abstract. | CONNECTION: None found in the provided text. No evidence of 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetries. | DEPTH: 1 — The search returned generic video lectures, not a specific mathematical discovery. The query's target (golden ratio in two-interval entanglement entropy) is not supported by these results.\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/1syqy99rskmpb.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23431387",
  "fulltext_url": null,
  "id": "1syqy99rskmpb",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23431387",
  "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": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1syqy99rskmpb.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:21:58Z",
      "native_id": "23431387",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23431387"
    }
  ],
  "subjects": [],
  "title": "Absence of Direct Evidence Linking Golden Ratio to Entanglement Entropy — E8 Intelligence Research",
  "title_text": "Absence of Direct Evidence Linking Golden Ratio to Entanglement Entropy — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-31T12:21:58Z",
  "url": "https://research.draconitic.com/paper/1syqy99rskmpb",
  "venue": "Zenodo",
  "versions": []
}