{
  "abstract": "FINDING: Fibonacci anyon braiding realizes quantum gates via the golden ratio, and Penrose tilings encode the same algebraic structure through inflation/deflation — a direct bridge between topological quantum computation and quasicrystalline order. | MATH: Fibonacci anyons obey fusion rule τ × τ = 1 + τ (where τ is the non-Abelian anyon). The quantum dimension of τ is φ = (1+√5)/2 ≈ 1.618. Braiding matrices for these anyons are expressed in terms of φ and its inverse φ⁻¹ = φ − 1 ≈ 0.618. Penrose tiling inflation factor is φ² = φ + 1 ≈ 2.618 (deflation factor φ⁻² ≈ 0.382). The single-qubit braiding gate compilation (arXiv:2008.03542) decomposes unitaries into sequences whose length scales with log(1/ε) and whose elementary matrices contain entries proportional to φ and φ⁻¹. The Fibonacci anyon model's Hilbert space dimension grows as Fₙ (Fibonacci numbers), whose ratio Fₙ₊₁/Fₙ → φ. | CONNECTION: Direct. The fusion space dimension of n Fibonacci anyons is the Fibonacci number Fₙ₊₁ — the\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": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/3axtmwvdpp28r.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23464942",
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  "id": "3axtmwvdpp28r",
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  "published": "2026-10-19",
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  "ris": "https://research.draconitic.com/paper/3axtmwvdpp28r.ris",
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    {
      "first_seen": "2026-11-02T12:21:50Z",
      "native_id": "23464942",
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  "title": "Golden Ratio Unites Topological Quantum Gates and Penrose Quasicrystals — E8 Intelligence Research",
  "title_text": "Golden Ratio Unites Topological Quantum Gates and Penrose Quasicrystals — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:50Z",
  "url": "https://research.draconitic.com/paper/3axtmwvdpp28r",
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