{
  "abstract": "FINDING: Monstrous moonshine links the Monster sporadic group's irreducible representation dimensions to coefficients of the modular j-function, whose singular moduli generate Hilbert class fields of imaginary quadratic fields. | MATH: j(τ) = q⁻¹ + 744 + 196884q + 21493760q² + ...; 196884 = 196883 + 1 (Monster rep dims); singular moduli j(τ) for τ in imaginary quadratic field K are algebraic integers generating the Hilbert class field of K; McKay–Thompson series T_g(τ) = Σ Tr(g|V_n) qⁿ⁻¹ with genus zero property for each Monster element g; Borcherds' proof via vertex operator algebra (Vₑ₈⁺ construction) and generalized Kac–Moody algebras. | CONNECTION: The j-function's Fourier coefficients (196884, 21493760, 864299970) decompose into sums of Monster irreducible dimensions — the first nontrivial case 196884 = 196883 + 1 mirrors the golden ratio's self-referential structure (1+φ=φ²). The Monster's order 2⁴⁶·3²⁰·5⁹·7⁶·11²·13³·17·19·23·29·31·41·47·59·71 contains primes up to 71 — related t\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/anga704tehbj1.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23490818",
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  "id": "anga704tehbj1",
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  "landing_url": "https://zenodo.org/records/23490818",
  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/anga704tehbj1.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:24Z",
      "native_id": "23490818",
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      "url": "https://zenodo.org/records/23490818"
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  "title": "Monstrous Moonshine: Linking the Monster Group to Modular j-Function and Hilbert Class Fields — E8 Intelligence Research",
  "title_text": "Monstrous Moonshine: Linking the Monster Group to Modular j-Function and Hilbert Class Fields — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:24Z",
  "url": "https://research.draconitic.com/paper/anga704tehbj1",
  "venue": "Zenodo",
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}