{
  "abstract": "FINDING: Rogers-Ramanujan continued fraction (RRCF) special values are algebraic units in Q(√5), linked to quintic Galois group A5 via modular equations and elliptic integrals. | MATH: RRCF: R(q) = q^{1/5}/(1 + q/(1 + q²/(1 + q³/(...)))). For q = e^{-2π}, R(q) = √( (5−√5)/2 ) − (√5−1)/2 ≈ 0.09017... (algebraic unit in Q(√5)). Key identity: 1/R(q) − 1 − R(q) = η(q^{1/5})/η(q^{5}) (eta-quotient). Special values at q = e^{−2π√n} yield units in real quadratic fields, often Q(√5). Quintic connection: RRCF solves the Bring–Jerrard quintic x⁵ + x = a via modular lambda and elliptic integrals; Galois group of the resolvent is A5 (icosahedral). | CONNECTION: The golden ratio φ = (1+√5)/2 ≈ 1.618 appears explicitly: RRCF at q = e^{−2π} involves √5 and φ. The algebraic unit structure in Q(√5) is the ring Z[φ] — the same lattice used in Penrose tilings (5-fold crystallographic symmetry, forbidden in periodic crystals but allowed in quasicrystals). The A5 Galois group is the rotational symmetry gro\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/dd0nq8cvz040t.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23446676",
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  "id": "dd0nq8cvz040t",
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  "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/dd0nq8cvz040t.ris",
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    {
      "first_seen": "2026-11-01T12:21:54Z",
      "native_id": "23446676",
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  "title": "Algebraic Units and Quintic Symmetry in Rogers-Ramanujan Continued Fraction Values — E8 Intelligence Research",
  "title_text": "Algebraic Units and Quintic Symmetry in Rogers-Ramanujan Continued Fraction Values — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:54Z",
  "url": "https://research.draconitic.com/paper/dd0nq8cvz040t",
  "venue": "Zenodo",
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