{
  "abstract": "FINDING: The Leech lattice (Λ₂₄) is the unique even unimodular lattice in 24 dimensions with no roots, constructed via orbifolding the E₈³ lattice or from Niemeier lattices through Lorentzian lattice methods; it underlies the Monster VOA at central charge 24. | MATH: Λ₂₄ has determinant 1, minimum norm 4, kissing number 196,560; theta series Θ_Λ₂₄(q) = 1 + 196,560q⁴ + 16,773,120q⁶ + ...; Golay code G₂₄ has parameters [24,12,8] with weight enumerator x²⁴ + 759x¹⁶y⁸ + 2576x¹²y¹² + 759x⁸y¹⁶ + y²⁴; Conway group Co₀ = Aut(Λ₂₄)/{±1} has order 8,315,553,613,086,720,000; Monster order |M| = 2⁴⁶·3²⁰·5⁹·7⁶·11²·13³·17·19·23·29·31·41·47·59·71 ≈ 8.08×10⁵³; VOA central charge c = 24; orbifold construction: Λ₂₄ ≅ (E₈³)/σ where σ is a triality automorphism, or via Lorentzian lattice II₂₅,₁ quotient by Weyl vector. | CONNECTION: The Leech lattice's 196,560 minimal vectors relate to the 0.618 ratio via the golden ratio φ appearing in the lattice's Gram matrix eigenvalues (the lattice is not φ-symmetric\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/7kkac0x1dghtg.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23553692",
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  "id": "7kkac0x1dghtg",
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  "landing_url": "https://zenodo.org/records/23553692",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7kkac0x1dghtg.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:21:19Z",
      "native_id": "23553692",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23553692"
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  "subjects": [],
  "title": "The Unique Leech Lattice: Construction, Properties, and Monster Connections — E8 Intelligence Research",
  "title_text": "The Unique Leech Lattice: Construction, Properties, and Monster Connections — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:19Z",
  "url": "https://research.draconitic.com/paper/7kkac0x1dghtg",
  "venue": "Zenodo",
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}