{
  "abstract": "FINDING: The search results are largely noise — arXiv abstracts on hexaquarks, traffic flow, graph recoloring, and leaf counting — with only one direct hit on Penrose's spin network formalism, which is the sole item with genuine mathematical depth relevant to sacred geometry. | MATH: The spin network formalism (Penrose, 1971) encodes SU(2) angular momentum recoupling via graphs where edges carry irreducible representations (spins j = 0, 1/2, 1, 3/2, ...) and vertices are invariant tensors (3j-symbols, 6j-symbols). The key algebraic structure is the Temperley-Lieb algebra and its Jones-Wenzl idempotents, with the quantum dimension at q = e^{iπ/r} given by [2j+1]_q = sin(π(2j+1)/r)/sin(π/r). | CONNECTION: The Penrose tiling's Robinson triangles (with angles 36°-72°-72° and 36°-36°-108°) have side ratios in the golden ratio φ = (1+√5)/2 ≈ 1.618. The algebraic integer ring ℤ[φ] has norm N(a+bφ) = a²+ab−b², and its unit group is generated by φ (norm +1) and φ−1 = 1/φ (norm −1). The spin net\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/6mbce3nd7t9a5.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23410070",
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  "id": "6mbce3nd7t9a5",
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  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6mbce3nd7t9a5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "23410070",
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  "title": "Spin Networks: The Sole Mathematical Bridge to Sacred Geometry — E8 Intelligence Research",
  "title_text": "Spin Networks: The Sole Mathematical Bridge to Sacred Geometry — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/6mbce3nd7t9a5",
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