{
  "abstract": "FINDING: The search results are a mixed bag of competition-problem videos and one arXiv paper on Hilbert geometry; the only substantive mathematical content is the Hilbert geometry asymptotic result. | MATH: For Hilbert geometry on a convex domain, volume growth entropy of metric balls equals that of Lobachevsky space (hyperbolic space). Asymptotic ratio: Vol(B_R)/Area(S_R) ~ R/(n-1) (derived from comparison with constant curvature −1). No explicit constants like 0.618 appear in the abstract. | CONNECTION: Hilbert geometry is a Finsler generalization of hyperbolic geometry; its geodesic structure mimics Lobachevsky space in the large-scale limit. The ratio Vol/Area ~ R/(n−1) echoes the hyperbolic volume growth constant (n−1) — a dimensional symmetry, not a golden-ratio harmony. No base-60, no crystallographic root systems, no 0.382/0.618/1.618 appear in any finding. | DEPTH: 3 — The Hilbert geometry result is a genuine asymptotic theorem (volume entropy equality with hyperbolic space),\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/bg7b292wv4nnf.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23465098",
  "fulltext_url": null,
  "id": "bg7b292wv4nnf",
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  "landing_url": "https://zenodo.org/records/23465098",
  "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,
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  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bg7b292wv4nnf.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:49Z",
      "native_id": "23465098",
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  "subjects": [],
  "title": "Hilbert Geometry Volume Growth Matches Hyperbolic Space Asymptotically — E8 Intelligence Research",
  "title_text": "Hilbert Geometry Volume Growth Matches Hyperbolic Space Asymptotically — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:49Z",
  "url": "https://research.draconitic.com/paper/bg7b292wv4nnf",
  "venue": "Zenodo",
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}