{
  "abstract": "FINDING: The search results are mostly video titles and abstracts, not substantive mathematical analyses. The core mathematical content is implicit: the Kepler triangle (sides 1, √φ, φ) and Plimpton 322 (Babylonian Pythagorean triples in base-60). No direct evidence links √φ (1.272) to 0.786 (which is √φ/φ = φ⁻¹/² ≈ 0.786) in the provided text.\n\nMATH: - Kepler triangle: right triangle with sides \\(1 : \\sqrt{\\varphi} : \\varphi\\), where \\(\\varphi = \\frac{1+\\sqrt{5}}{2} \\approx 1.618\\). The ratio of hypotenuse to short leg is \\(\\varphi\\); the ratio of long leg to short leg is \\(\\sqrt{\\varphi} \\approx 1.272\\). The reciprocal of \\(\\sqrt{\\varphi}\\) is \\(\\varphi^{-1/2} \\approx 0.786\\). - Plimpton 322: Old Babylonian tablet (c. 1800 BCE) lists 15 rows of Pythagorean triples in sexagesimal (base-60). The standard reconstruction uses \\(p, q\\) coprime integers with \\(p>q\\), generating triples \\((p^2 - q^2, 2pq, p^2 + q^2)\\). The tablet's column of \"diagonal\" ratios corresponds to \\(\\sec^2\\theta\\\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/6w9y9vke55vz9.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658305",
  "fulltext_url": null,
  "id": "6w9y9vke55vz9",
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  "landing_url": "https://zenodo.org/records/23658305",
  "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,
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  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6w9y9vke55vz9.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:37Z",
      "native_id": "23658305",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658305"
    }
  ],
  "subjects": [],
  "title": "Kepler Triangle and Plimpton 322: No Direct Evidence Linking √φ to 0.786 — E8 Intelligence Research",
  "title_text": "Kepler Triangle and Plimpton 322: No Direct Evidence Linking √φ to 0.786 — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:37Z",
  "url": "https://research.draconitic.com/paper/6w9y9vke55vz9",
  "venue": "Zenodo",
  "versions": []
}