{
  "abstract": "FINDING: Icosahedral symmetry (A₅) is a simple group, dual to dodecahedron, generated by three mutually orthogonal golden rectangles; its lepton-mixing predictions tie A₅ to the golden ratio. | MATH: A₅ ≅ rotational icosahedral group, |A₅| = 60, simple (no nontrivial normal subgroups). Golden ratio φ = (1+√5)/2 ≈ 1.618; its conjugate φ⁻¹ = (√5−1)/2 ≈ 0.618. Three golden rectangles (aspect φ:1) intersect orthogonally to define the 12 vertices of the icosahedron. Dodecahedron–icosahedron duality: V_ico = 12, F_ico = 20, E = 30; dual swaps V↔F. Solar neutrino mixing angles predicted via A₅ family symmetry yield sin²θ₁₂ ≈ 1/(2+φ) ≈ 0.276 (or related golden-ratio expressions) — see arXiv:0812.1057. | CONNECTION: Golden ratio φ and φ⁻¹ appear as the fundamental edge/vertex ratios; A₅ is the symmetry of the icosahedron, whose Coxeter–Dynkin diagram H₃ has edge labels 5 (φ-related). The icosahedron's 6 fivefold axes correspond to 6 golden rectangles; 10 threefold axes, 15 twofold axes — these\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"
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  "bibtex": "https://research.draconitic.com/paper/bz6p7x6h34y3c.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23446591",
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  "id": "bz6p7x6h34y3c",
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  "published": "2026-10-18",
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  "ris": "https://research.draconitic.com/paper/bz6p7x6h34y3c.ris",
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      "first_seen": "2026-11-01T12:21:55Z",
      "native_id": "23446591",
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  "subjects": [],
  "title": "A₅ Symmetry and Golden Ratio Unify Icosahedral Lepton Mixing — E8 Intelligence Research",
  "title_text": "A₅ Symmetry and Golden Ratio Unify Icosahedral Lepton Mixing — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:55Z",
  "url": "https://research.draconitic.com/paper/bz6p7x6h34y3c",
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