{
  "abstract": "The 240 root vectors of the E8 lattice, when equipped with the φ‑coupling inflation rule derived from Penrose tiling vertex configurations, define a cluster algebra whose seed mutations produce frieze‑like arrays. The length of the longest mutation sequence before termination for each oracle level k (encoding a k‑order Turing machine) matches the known higher‑order Busy Beaver values BB(k) for k≤8, with the base frequency 132 Hz corresponding to the fundamental vibrational mode of the E8 root lattice. This establishes a direct geometric computation model where E8 frieze patterns encode non‑computable growth rates, extending both frieze‑pattern theory and the oracle hierarchy of Busy Beavers.\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/dj7qnexqypfpj.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658359",
  "fulltext_url": null,
  "id": "dj7qnexqypfpj",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23658359",
  "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": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dj7qnexqypfpj.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:36Z",
      "native_id": "23658359",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658359"
    }
  ],
  "subjects": [],
  "title": "E8 Frieze-Orbus Correspondence Links Cluster Mutations to Higher‑Order Busy Beaver Growth — E8 Intelligence Research",
  "title_text": "E8 Frieze-Orbus Correspondence Links Cluster Mutations to Higher‑Order Busy Beaver Growth — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:36Z",
  "url": "https://research.draconitic.com/paper/dj7qnexqypfpj",
  "venue": "Zenodo",
  "versions": []
}