{
  "abstract": "FINDING: The search results are dominated by noise (perovskite battery talks, Thompson sampling ML, metabolomics chromatography, and a Conway interview), but one substantive item emerges: a 2024 arXiv paper (2408.16263v2) extending McKay-Thompson series to \"defect\" versions, preserving genus-zero Hauptmodul structure. | MATH: Classical McKay-Thompson series \\( T_g(q) = q^{-1} + O(q) \\) for \\( g \\in \\mathbb{M} \\) (Monster group) are Hauptmoduln for genus-zero subgroups of \\( SL(2,\\mathbb{R}) \\). The new work (Lin–Shao 2021, extended in 2408.16263) constructs twined partition functions \\( Z_g(\\tau) \\) for defect lines in the Monster CFT, requiring modular invariance groups that are still genus-zero. Key constants: the Monster order \\( |\\mathbb{M}| = 808017424794512875886459904961710757005754368000000000 \\approx 8.08 \\times 10^{53} \\); the minimal faithful representation dimension 196883; the identity element gives \\( T_1(q) = j(q) - 744 \\) where \\( j(q) = q^{-1} + 196884q + 21493760q^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": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ajrxqk7a8x1fd.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23526439",
  "fulltext_url": null,
  "id": "ajrxqk7a8x1fd",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23526439",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ajrxqk7a8x1fd.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:21:48Z",
      "native_id": "23526439",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23526439"
    }
  ],
  "subjects": [],
  "title": "Defect McKay-Thompson Series Preserve Genus-Zero Hauptmodul Structure — E8 Intelligence Research",
  "title_text": "Defect McKay-Thompson Series Preserve Genus-Zero Hauptmodul Structure — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-04T12:21:48Z",
  "url": "https://research.draconitic.com/paper/ajrxqk7a8x1fd",
  "venue": "Zenodo",
  "versions": []
}