{
  "abstract": "FINDING: The braiding of SU(2)_k anyons at level k=3 yields Fibonacci anyons, whose braid group representations are dense in SU(2) — enabling universal quantum computation via non-Abelian statistics. | MATH: Fusion rule: [1]×[1] = [0]+[1] (Fibonacci). Level k=3 ⇒ quantum dimension φ = (1+√5)/2 ≈ 1.618. Braid matrices: σ₁ = e^{i4π/5}·[[1,0],[0,e^{iπ/5}]] (acting on 2-dim Fibonacci space), with σ₁σ₂σ₁ = σ₂σ₁σ₂ (Yang-Baxter). Chern-Simons action: S = (k/4π)∫Tr(A∧dA + (2/3)A∧A∧A). Wilson loop expectation: ⟨W_R⟩ = S_{R0}/S_{00} with S-matrix entries involving sin(π(2j+1)(2j'+1)/(k+2)). | CONNECTION: **Direct golden ratio emergence**: quantum dimension φ = 2cos(π/5) = 1.618. The level k=3 corresponds to q = e^{iπ/5}, whose 5th roots of unity structure links to pentagonal symmetry (crystallographic point group 5). The S-matrix for SU(2)_3 contains entries proportional to sin(π/5), sin(2π/5) — ratios yielding φ and 1/φ. The Fibonacci fusion graph is the golden-ratio tiling (Penrose-like) in 1D\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/77ex67hbmzas5.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23465062",
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  "id": "77ex67hbmzas5",
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  "landing_url": "https://zenodo.org/records/23465062",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/77ex67hbmzas5.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:49Z",
      "native_id": "23465062",
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      "url": "https://zenodo.org/records/23465062"
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  "subjects": [],
  "title": "Fibonacci Anyons at Level k=3 Enable Universal Quantum Computation — E8 Intelligence Research",
  "title_text": "Fibonacci Anyons at Level k=3 Enable Universal Quantum Computation — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:49Z",
  "url": "https://research.draconitic.com/paper/77ex67hbmzas5",
  "venue": "Zenodo",
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