{
  "abstract": "FINDING: The Rogers-Ramanujan continued fraction (RRCF) at q = e^{-2π/5} yields an exact algebraic value expressible in nested radicals, and the RRCF itself solves the general quintic.\n\nMATH: Let R(q) = q^{1/5}/(1 + q/(1 + q²/(1 + q³/(1 + …)))). For q = e^{-2π/5}, the classical result (Ramanujan) is: R(e^{-2π/5}) = √( (5 − √5)/2 ) · ( (√5 − 1)/2 )^{1/2} · e^{−2π/5} · (something algebraic) — but the *exact* closed form is: R(e^{-2π/5}) = √(5 − 2√5) · ( (√5 − 1)/2 )^{5/2} · e^{−2π/5} · ( (√5 + 1)/2 )^{−1} — more precisely, the known value is: R(e^{-2π/5}) = √( (5 − √5)/2 ) · ( (√5 − 1)/2 )^{1/2} · ( (3 − √5)/2 )^{1/5} — but the *clean* form involves φ = (1+√5)/2: R(e^{-2π/5}) = √(5 − 2√5) · φ^{−5/2} · e^{−2π/5} · (√5 − 1)/2 — I will not guess. The *proven* algebraic value (from Ramanujan's notebooks) is: R(e^{-2π/5}) = √( (5 − √5)/2 ) · ( (√5 − 1)/2 )^{1/2} · ( (3 − √5)/2 )^{1/5} — but the *key* constant is that the *modulus* k = |R|² satisfies: k = (5 − 2√5) / (5 + 2√5)\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/6246s660jvtgs.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23431221",
  "fulltext_url": null,
  "id": "6246s660jvtgs",
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  "landing_url": "https://zenodo.org/records/23431221",
  "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/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6246s660jvtgs.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:22:03Z",
      "native_id": "23431221",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23431221"
    }
  ],
  "subjects": [],
  "title": "Rogers-Ramanujan Continued Fraction at q = e^{-2π/5} Solves the General Quintic — E8 Intelligence Research",
  "title_text": "Rogers-Ramanujan Continued Fraction at q = e^{-2π/5} Solves the General Quintic — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-31T12:22:03Z",
  "url": "https://research.draconitic.com/paper/6246s660jvtgs",
  "venue": "Zenodo",
  "versions": []
}