{
  "abstract": "FINDING: The rational parametrization of the unit circle — central to Babylonian/sexagesimal trigonometry — is explicitly linked to base-60 geometry via a natural divisibility of the circle into 6, 12, 24, and 360 parts, as shown in the arXiv paper.\n\nMATH: - Rational parametrization: \\( t \\mapsto \\left( \\frac{1-t^2}{1+t^2}, \\frac{2t}{1+t^2} \\right) \\) — all rational points on \\( x^2 + y^2 = 1 \\) (excluding \\((-1,0)\\)). - Sexagesimal link: circle circumference divided by 6 gives chord length = radius (regular hexagon), leading to 360° = 6×60; 24 hours = 4×6; 12 months = 2×6. - Key ratios from the parametrization at special \\( t \\): - \\( t = 1/2 \\): point \\( (3/5, 4/5) \\) → Pythagorean triple, slope ratio 0.6/0.8 = 0.75. - \\( t = 1/3 \\): point \\( (8/10, 6/10) = (4/5, 3/5) \\) → reciprocal triple. - The tangent half-angle substitution \\( t = \\tan(\\theta/2) \\) yields \\( \\sin\\theta = 2t/(1+t^2) \\), \\( \\cos\\theta = (1-t^2)/(1+t^2) \\) — the core of Babylonian chord tables.\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/4yp0re9rca3mp.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635617",
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  "id": "4yp0re9rca3mp",
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  "landing_url": "https://zenodo.org/records/23635617",
  "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/",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4yp0re9rca3mp.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:52Z",
      "native_id": "23635617",
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      "url": "https://zenodo.org/records/23635617"
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  "subjects": [],
  "title": "Babylonian Trigonometry Linked to Rational Circle Parametrization via Base-60 Divisions — E8 Intelligence Research",
  "title_text": "Babylonian Trigonometry Linked to Rational Circle Parametrization via Base-60 Divisions — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:52Z",
  "url": "https://research.draconitic.com/paper/4yp0re9rca3mp",
  "venue": "Zenodo",
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}