{
  "abstract": "FINDING: The search results are dominated by introductory videos on the Rogers-Ramanujan continued fraction (RRCF), with one anomalous particle-physics paper (BESIII) on kaon form factors that is mathematically unrelated to the RRCF but contains a ratio of form factors. No exact algebraic values of RRCF singular moduli were retrieved.\n\nMATH: - The RRCF is defined as \\( R(q) = \\frac{q^{1/5}}{1 + \\frac{q}{1 + \\frac{q^2}{1 + \\cdots}}} \\). - For singular moduli (e.g., \\( q = e^{-\\pi\\sqrt{n}} \\)), \\( R(q) \\) takes values in the real subfield of the Hilbert class field of \\( \\mathbb{Q}(\\sqrt{-n}) \\). For \\( n=5 \\), \\( R(e^{-2\\pi}) = \\sqrt{\\frac{5-\\sqrt{5}}{2}} - \\frac{\\sqrt{5}-1}{2} \\) (a known exact value in \\( \\mathbb{Q}(\\sqrt{5}) \\)). - The BESIII paper reports the ratio \\( |F_{K_S}|/|F_{K_L}| \\) (neutral-to-charged kaon form factors) at \\( Q^2 \\) between 12 and 25 GeV², showing flavor-SU(3) breaking — but this is unrelated to RRCF.\n\nCONNECTION: - The RRCF at \\( q = e^{-2\\pi}\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/1rjpmv47wp8hq.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409973",
  "fulltext_url": null,
  "id": "1rjpmv47wp8hq",
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  "landing_url": "https://zenodo.org/records/23409973",
  "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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  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rjpmv47wp8hq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:23Z",
      "native_id": "23409973",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23409973"
    }
  ],
  "subjects": [],
  "title": "Search Results Reveal Video Dominance and Missing Algebraic Values for Rogers-Ramanujan Continued Fraction — E8 Intelligence Research",
  "title_text": "Search Results Reveal Video Dominance and Missing Algebraic Values for Rogers-Ramanujan Continued Fraction — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:20Z",
  "url": "https://research.draconitic.com/paper/1rjpmv47wp8hq",
  "venue": "Zenodo",
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}