{
  "abstract": "FINDING: E8 root system (240 vertices, 8D) projects to 4D/3D via H4 folding, yielding icosahedral quasicrystals and golden-ratio-encoded lattice structures; a separate quantum system unexpectedly exhibits golden-ratio behavior. | MATH: E8 has 240 roots, 6720 edges (Gosset 4_21 polytope). H4 folding matrix maps E8 → H4 (120-cell/600-cell symmetry). Icosagrid quasicrystal uses 10 plane sets with icosahedral symmetry, Fibonacci-chain spacing (golden mean τ = (1+√5)/2 ≈ 1.618). The E8 lattice projects to 3D as a rhombic triacontahedron (30 rhombic faces, 32 vertices, 60 edges) — a zonohedron with golden-ratio edge ratios. | CONNECTION: Direct — the H4 folding preserves golden-ratio invariants: τ, 1/τ = 0.618, τ² = 2.618, and τ⁻² = 0.382 appear in the projection matrices and quasicrystal vertex coordinates. The rhombic triacontahedron's face diagonals are in ratio τ:1. The icosagrid's Fibonacci spacing produces diffraction patterns with icosahedral (5-fold) symmetry — forbidden in periodic\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/9rp1tfqcdv7cn.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409790",
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  "id": "9rp1tfqcdv7cn",
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  "landing_url": "https://zenodo.org/records/23409790",
  "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/9rp1tfqcdv7cn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:25Z",
      "native_id": "23409790",
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      "url": "https://zenodo.org/records/23409790"
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  "subjects": [],
  "title": "Golden-Ratio Quasicrystals from E8 Projection via H4 Folding — E8 Intelligence Research",
  "title_text": "Golden-Ratio Quasicrystals from E8 Projection via H4 Folding — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/9rp1tfqcdv7cn",
  "venue": "Zenodo",
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}