{
  "abstract": "FINDING: The Rogers-Ramanujan continued fraction (RRCF) provides a modular bridge between the golden ratio conjugate and the general quintic, revealing that degree-5 solvability is encoded in a continued fraction whose special values are algebraic units in the golden field.\n\nMATH: The RRCF is defined as \\( R(q) = \\frac{q^{1/5}}{1 + \\frac{q}{1 + \\frac{q^2}{1 + \\frac{q^3}{1 + \\cdots}}}} \\) For \\( q = e^{-2\\pi} \\) (or modular transformations thereof), \\( R(q) \\) takes values in \\( \\mathbb{Q}(\\sqrt{5}) \\). Key special value: \\( R(e^{-2\\pi}) = \\sqrt{\\frac{5 - \\sqrt{5}}{2}} - \\frac{\\sqrt{5} - 1}{2} \\) — an algebraic number involving \\( \\phi^{-1} = (\\sqrt{5}-1)/2 \\approx 0.6180339887 \\). Modular transformation: \\( R(-1/q) = \\frac{1 - \\phi R(q)}{\\phi + R(q)} \\) where \\( \\phi = (1+\\sqrt{5})/2 \\). The arXiv paper (1510.00068) expresses a root of the general quintic \\( x^5 + ax + b = 0 \\) as an algebraic function of \\( R(q) \\) for a specific \\( q \\) determined by \\( a,b \\), effectiv\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/ap1atr9ba7vbh.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23410034",
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  "id": "ap1atr9ba7vbh",
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  "landing_url": "https://zenodo.org/records/23410034",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ap1atr9ba7vbh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "23410034",
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      "url": "https://zenodo.org/records/23410034"
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  "subjects": [],
  "title": "The Golden Ratio Bridge: Rogers-Ramanujan Continued Fraction and Quintic Solvability — E8 Intelligence Research",
  "title_text": "The Golden Ratio Bridge: Rogers-Ramanujan Continued Fraction and Quintic Solvability — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/ap1atr9ba7vbh",
  "venue": "Zenodo",
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}