{
  "abstract": "FINDING: Fibonacci TQFT yields mapping class group representations into pseudo-unitary groups, linking the golden ratio to complex hyperbolic geometry on moduli spaces; a separate quantum-calculus framework uses golden/silver ratios for supersymmetric oscillator hierarchies.\n\nMATH: - Fibonacci TQFT: Representations of mapping class groups → \\( \\mathrm{PU}(p,q) \\) (pseudo-unitary), with exceptional cases tied to the golden ratio \\(\\varphi = \\frac{1+\\sqrt{5}}{2}\\). - Golden ratio identities: \\(\\varphi^2 = \\varphi + 1\\), \\(\\varphi^{-1} = \\varphi - 1 = 0.618...\\), \\(\\varphi^{-2} = 2 - \\varphi = 0.382...\\). - Quantum calculus (arXiv:2410.04169): Two-base derivative with bases \\(\\varphi\\) (golden) and \\(1+\\sqrt{2}\\) (silver). Fibonacci divisor operator \\(\\hat{N}_F\\) acting on Fock space; Binet formula: \\(F_n = \\frac{\\varphi^n - (-\\varphi)^{-n}}{\\sqrt{5}}\\). Energy spectrum of \"golden oscillators\" scales as \\(\\varphi^{2n}\\) or \\(\\varphi^{-2n}\\) (hierarchy). - Complex hyperbolic stru\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "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/7y9ea8zrtv6sr.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23587212",
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  "id": "7y9ea8zrtv6sr",
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  "language": "eng",
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  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7y9ea8zrtv6sr.ris",
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      "first_seen": "2026-11-06T12:21:50Z",
      "native_id": "23587212",
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  "title": "Golden Ratio Bridges Topological Quantum Field Theory and Supersymmetric Oscillator Hierarchies — E8 Intelligence Research",
  "title_text": "Golden Ratio Bridges Topological Quantum Field Theory and Supersymmetric Oscillator Hierarchies — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:50Z",
  "url": "https://research.draconitic.com/paper/7y9ea8zrtv6sr",
  "venue": "Zenodo",
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