{
  "abstract": "FINDING: Phyllotaxis (golden angle) is the dominant biological expression of Fibonacci/lattice order, but the search results are mostly popular videos with no rigorous mathematical derivation; the sole arXiv paper (lattice QCD) is unrelated to sacred geometry. | MATH: Golden angle = 360° × (1 − 1/φ) = 360° × (1 − 0.618…) = 137.507…°; equivalently 2π/φ² radians. Fibonacci recurrence Fₙ = Fₙ₋₁ + Fₙ₋₂ with ratio Fₙ₊₁/Fₙ → φ = (1+√5)/2 = 1.618…; complementary ratio 1/φ = 0.618…; φ² = 2.618…; φ⁻² = 0.382…. | CONNECTION: The golden angle arises from the Stern–Brocot tree / continued fraction convergents of φ — the best rational approximations (1/1, 1/2, 2/3, 3/5, 5/8, …) are exactly Fibonacci ratios, which generate the modular group PSL(2,Z) via matrices [[1,1],[1,0]] (generator S·T). Phyllotaxis lattice points (r, nθ) with θ = 2π/φ² form a spiral lattice whose local packing is hexagonal (6-fold symmetry) — a crystallographic root system A₂. The divergence angle 137.5° is the unique angle th\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
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      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/2dfc2vnxh77fr.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23490663",
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  "id": "2dfc2vnxh77fr",
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  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2dfc2vnxh77fr.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:27Z",
      "native_id": "23490663",
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  "subjects": [],
  "title": "Phyllotaxis and the Golden Angle: A Mathematical Gap in Popular Accounts — E8 Intelligence Research",
  "title_text": "Phyllotaxis and the Golden Angle: A Mathematical Gap in Popular Accounts — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:27Z",
  "url": "https://research.draconitic.com/paper/2dfc2vnxh77fr",
  "venue": "Zenodo",
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