{
  "abstract": "FINDING: The search results are a scattered set of video lectures and one astrophysics preprint; no single unified mathematical discovery is presented. The core mathematical content is implicit in the titles: Weyl groups (root systems, reflection groups), Weyl sums (exponential sums), Weyl modules (representation theory), and a gravitational-wave directional search. No explicit equations, constants, or ratios are given in the abstracts/titles.\n\nMATH: No explicit equations or constants are extractable from the provided text. However, the *implied* mathematics includes: - Weyl group exponents for B_n/C_n: degrees are \\(2, 4, 6, \\dots, 2n\\), sum = \\(n(n+1)\\). This is a known result, not new. - Weyl character formula: \\(\\chi_\\lambda = \\frac{\\sum_{w\\in W} (-1)^{\\ell(w)} e^{w(\\lambda+\\rho)}}{\\sum_{w\\in W} (-1)^{\\ell(w)} e^{w(\\rho)}}\\) (implied by \"baby Weyl character formula\"). - Weyl sums: \\(S(f) = \\sum_{x=1}^P e^{2\\pi i f(x)}\\) with \\(f\\) a polynomial (Vinogradov mean value theorem context\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/cdvbyttdm0rmp.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23634960",
  "fulltext_url": null,
  "id": "cdvbyttdm0rmp",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23634960",
  "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": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cdvbyttdm0rmp.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:22:01Z",
      "native_id": "23634960",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23634960"
    }
  ],
  "subjects": [],
  "title": "Weyl Structures Across Mathematics and Astrophysics: A Scattered Review — E8 Intelligence Research",
  "title_text": "Weyl Structures Across Mathematics and Astrophysics: A Scattered Review — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:22:01Z",
  "url": "https://research.draconitic.com/paper/cdvbyttdm0rmp",
  "venue": "Zenodo",
  "versions": []
}