{
  "abstract": "FINDING: The search results are largely irrelevant to the Coxeter reflection hyperplane theorem; they return machine-learning hyperplane separations and one tangential paper on finitely generated reflection subgroups, but no proof of the Coxeter sum-of-exponents theorem for H3/H4. | MATH: No equations for the Coxeter theorem appear. The only relevant mathematical object is the reflection subgroup characterization: given a reflection \\(r\\) in a Coxeter group \\(W\\), the subgroup generated by reflections whose \\((-1)\\)-eigenvectors are orthogonal to \\(r\\)'s \\((-1)\\)-eigenvector — finite generation conditions depend on the Coxeter graph's affine/compact type (arxiv math/0603667v2). | CONNECTION: None directly. However, the H3 and H4 Coxeter groups have reflection counts 15 and 60 respectively. The sum of exponents for H3 is \\(1+5+9=15\\); for H4 it is \\(1+11+19+29=60\\). These sums equal the number of reflections — a known theorem (Coxeter) but not proven here. The numbers 15 and 60 are high\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/ewd0vk0gftqe0.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23587071",
  "fulltext_url": null,
  "id": "ewd0vk0gftqe0",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23587071",
  "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/ewd0vk0gftqe0.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:21:53Z",
      "native_id": "23587071",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23587071"
    }
  ],
  "subjects": [],
  "title": "Irrelevant Search Results for Coxeter Reflection Hyperplane Theorem Proofs — E8 Intelligence Research",
  "title_text": "Irrelevant Search Results for Coxeter Reflection Hyperplane Theorem Proofs — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:53Z",
  "url": "https://research.draconitic.com/paper/ewd0vk0gftqe0",
  "venue": "Zenodo",
  "versions": []
}