{
  "abstract": "FINDING: q-deformed Fibonacci oscillators in supersymmetric quantum mechanics produce golden-ratio-based Fock space spectra, with quantum calculus linking Fibonacci divisors to N=2 supersymmetric hierarchies. | MATH: Golden ratio φ = (1+√5)/2 ≈ 1.618; Silver ratio σ = 1+√2 ≈ 2.414; q-deformed oscillator with q = φ or q = σ; Fibonacci divisor derivative d_F(x) = (x^F − 1)/(x − 1) at x = φ, σ; Binet form F_n = (φ^n − (−φ)^−n)/√5; energy spectrum E_n ∝ [n]_q = (q^n − q^−n)/(q − q^−1) for q = φ, σ; N=2 supersymmetric hierarchy with supercharge Q, Q† satisfying {Q, Q†} = H, [H, Q] = 0, where H is golden oscillator Hamiltonian. | CONNECTION: φ² = φ + 1 ⇒ 1/φ = φ − 1 = 0.618; φ⁻¹ = 0.618; φ⁻² = 0.382; φ⁻³ = 0.236; φ⁻⁴ = 0.146; σ⁻¹ = 0.414 (near 0.382? No — but σ relates to silver mean, Pell numbers). The q-deformation parameter q = φ directly embeds the golden ratio into the Fock space ladder operators: a a† − q a† a = 1. The Fibonacci divisor calculus yields number operators whose eigenvalue\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/2rtjwfn9xt00f.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23451159",
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  "id": "2rtjwfn9xt00f",
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  "landing_url": "https://zenodo.org/records/23451159",
  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2rtjwfn9xt00f.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:21:10Z",
      "native_id": "23451159",
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  "title": "Golden-Ratio q-Deformed Oscillators in Supersymmetric Quantum Mechanics — E8 Intelligence Research",
  "title_text": "Golden-Ratio q-Deformed Oscillators in Supersymmetric Quantum Mechanics — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:10Z",
  "url": "https://research.draconitic.com/paper/2rtjwfn9xt00f",
  "venue": "Zenodo",
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