{
  "abstract": "FINDING: The search results converge on the Conway group Co₀ acting on the Leech lattice, with its mod-2 cohomology and 2-adic invariants tied to the Golay code and the Monster group via monstrous moonshine. | MATH: Leech lattice Λ₂₄ has 196,560 minimal vectors (kissing number); Co₀ = Aut(Λ₂₄)/{±1} has order 8,315,553,613,086,720,000 = 2²²·3⁹·5⁴·7²·11·13·23. The mod-2 cohomology of Co₀ is linked to the Steenrod algebra action on H*(BG; F₂) for G = Spin(7), Spin(8), Spin(9), F₄ (from arXiv:0710.5926v2), which are precisely the compact groups whose root systems embed in the E₈ lattice — and E₈³ ≅ Λ₂₄/2Λ₂₄. The Golay code G₂₄ is a [24,12,8] binary code with 4,096 codewords, weight enumerator W(x,y) = x²⁴ + 759x¹⁶y⁸ + 2576x¹²y¹² + 759x⁸y¹⁶ + y²⁴. | CONNECTION: The Leech lattice's theta series θ_Λ(τ) = E₄(τ)³ − 720Δ(τ) has coefficients involving 196,560 = 2⁴·3³·5·7·13. The ratio 759/196560 ≈ 0.00386, but more profoundly: the 2-adic structure of Co₀ mod 2 yields the quotient Λ₂₄/2Λ₂₄ ≅ (E₈/2\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": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/52frbebjv25mn.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635401",
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  "id": "52frbebjv25mn",
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  "landing_url": "https://zenodo.org/records/23635401",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/52frbebjv25mn.ris",
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    {
      "first_seen": "2026-11-08T12:21:54Z",
      "native_id": "23635401",
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  "title": "Cohomology of Conway Group Co₀ and Leech Lattice via Golay Code and Moonshine — E8 Intelligence Research",
  "title_text": "Cohomology of Conway Group Co₀ and Leech Lattice via Golay Code and Moonshine — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:54Z",
  "url": "https://research.draconitic.com/paper/52frbebjv25mn",
  "venue": "Zenodo",
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