{
  "abstract": "FINDING: Fibonacci anyons realize the golden ratio φ as the quantum dimension, enabling universal topological quantum computation via braiding; Ising anyons (with √2 quantum dimension) are non-universal for computation. | MATH: Fibonacci anyon fusion rule: τ × τ = 1 + τ (where τ is the non-Abelian anyon, 1 is vacuum). Quantum dimension d_τ satisfies d_τ² = 1 + d_τ → d_τ = φ = (1+√5)/2 ≈ 1.618. Braid matrices yield unitary representations of the braid group B_n with entries involving φ⁻¹ = φ−1 ≈ 0.618 and φ⁻² ≈ 0.382. Ising anyon fusion: σ × σ = 1 + ψ (ψ = fermion), quantum dimension d_σ = √2; braiding yields Clifford gates only (not universal). Fibonacci anyons are dense in SU(2) (or SU(N) for higher rank), hence universal. | CONNECTION: The golden ratio φ appears directly as the quantum dimension — a topological invariant counting fusion-space growth. The Fibonacci fusion tree is isomorphic to the Fibonacci sequence: number of fusion channels for n anyons = F_n (Fibonacci numbers), wh\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/a4vk0c3zx3ve8.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23490633",
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  "id": "a4vk0c3zx3ve8",
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  "landing_url": "https://zenodo.org/records/23490633",
  "language": "eng",
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  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a4vk0c3zx3ve8.ris",
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    {
      "first_seen": "2026-11-03T12:21:27Z",
      "native_id": "23490633",
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  "title": "Fibonacci Anyons: Golden Ratio Quantum Dimension Enables Universal Topological Computation — E8 Intelligence Research",
  "title_text": "Fibonacci Anyons: Golden Ratio Quantum Dimension Enables Universal Topological Computation — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:27Z",
  "url": "https://research.draconitic.com/paper/a4vk0c3zx3ve8",
  "venue": "Zenodo",
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