{
  "abstract": "FINDING: Borcherds' proof of Monstrous Moonshine links the Monster group's representation theory to the modular function \\(j(\\tau)\\) via a vertex operator algebra (VOA) of central charge 24, constructed from the Leech lattice, with the no-ghost theorem from string theory providing the key constraint. | MATH: Central charge \\(c=24\\); Monster VOA \\(V^\\natural\\) with graded dimension \\(\\sum_{n=-1}^\\infty \\dim(V^\\natural_n) q^n = j(\\tau)-744 = q^{-1}+196884q+21493760q^2+\\dots\\); McKay–Thompson series \\(T_g(\\tau)=\\sum \\mathrm{tr}(g|V^\\natural_n)q^{n-1}\\) are Hauptmoduln for genus-zero groups; Borcherds' denominator identity for the Monster Lie algebra: \\(e^{\\rho}\\prod_{\\alpha\\in\\Delta^+}(1-e^{-\\alpha})^{\\mathrm{mult}(\\alpha)} = j(\\sigma)-j(\\tau)\\) (where \\(\\rho\\) is the Weyl vector, \\(\\Delta^+\\) positive roots of the Monster Lie algebra, and \\(\\sigma,\\tau\\) are coordinates on the rank-2 hyperbolic lattice). The no-ghost theorem requires the VOA to have \\(c=24\\) and be self-dual (holomorphic\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/01aqd1rf3y25m.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23553607",
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  "id": "01aqd1rf3y25m",
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  "landing_url": "https://zenodo.org/records/23553607",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/01aqd1rf3y25m.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:21:20Z",
      "native_id": "23553607",
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      "url": "https://zenodo.org/records/23553607"
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  "subjects": [],
  "title": "Monstrous Moonshine: Linking the Monster Group to Modular Functions via Vertex Operator Algebras — E8 Intelligence Research",
  "title_text": "Monstrous Moonshine: Linking the Monster Group to Modular Functions via Vertex Operator Algebras — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:20Z",
  "url": "https://research.draconitic.com/paper/01aqd1rf3y25m",
  "venue": "Zenodo",
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}