{
  "abstract": "FINDING: The search results are largely tangential video lectures and one arXiv paper on Coxeter group excess; no direct source addresses the B_n/C_n invariant degree identity or root length ratio. The arXiv paper (1405.2700) defines excess for strongly real elements in finite Coxeter groups, but does not compare B_n vs C_n degrees.\n\nMATH: No new equations or constants extracted. The relevant known fact (not in results, but standard): For B_n and C_n, the Weyl group is the same hyperoctahedral group, with invariant degrees \\(2,4,6,\\dots,2n\\). The root length ratio (long/short) is \\(\\sqrt{2}\\) for B_n vs C_n (when normalized), but the group structure is identical — hence identical degree sequences. The paper's excess function: \\(e(w)=\\min\\{\\ell(x)+\\ell(y)-\\ell(w) \\mid w=xy, x^2=y^2=1\\}\\).\n\nCONNECTION: The \\(\\sqrt{2}\\) ratio appears in the root length difference between B_n (long roots) and C_n (short roots) — but since the Weyl group is the same, this ratio does not alter the invariant\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/12r0ag5vwshvx.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23587238",
  "fulltext_url": null,
  "id": "12r0ag5vwshvx",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23587238",
  "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": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/12r0ag5vwshvx.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:21:50Z",
      "native_id": "23587238",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23587238"
    }
  ],
  "subjects": [],
  "title": "Absence of Direct Evidence for B_n/C_n Invariant Degree Identity in Search Results — E8 Intelligence Research",
  "title_text": "Absence of Direct Evidence for B_n/C_n Invariant Degree Identity in Search Results — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:50Z",
  "url": "https://research.draconitic.com/paper/12r0ag5vwshvx",
  "venue": "Zenodo",
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}