{
  "abstract": "FINDING: Chaitin's Omega (Ω) is a normal number in every base (Borel normality), yet algorithmically random and uncomputable — its digits encode the halting probabilities of all possible programs, making it a maximal-information constant. | MATH: Ω = Σ_{p halts} 2^{-|p|} (sum over all self-delimiting programs p that halt, weighted by 2^{-length(p)}); Ω ∈ (0,1); Borel normality: for any base b, every finite digit string of length k occurs with asymptotic frequency b^{-k}; Ω is Turing-uncomputable, and its first n bits are irreducibly complex (Kolmogorov complexity ~ n). | CONNECTION: No direct geometric ratio (0.382, 0.618, 1.618) appears — Ω is not algebraic or constructible. However, the *structure* of Ω's normality across all bases mirrors the uniform distribution of points in a high-dimensional lattice (e.g., equidistribution modulo 1, Weyl's criterion), and its self-delimiting program encoding (prefix-free codes) is isomorphic to a binary tree — a dyadic lattice whose branching rat\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/2phkx29xj5ype.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23554114",
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  "id": "2phkx29xj5ype",
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  "landing_url": "https://zenodo.org/records/23554114",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2phkx29xj5ype.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:21:11Z",
      "native_id": "23554114",
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      "url": "https://zenodo.org/records/23554114"
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  "subjects": [],
  "title": "Chaitin's Omega: Normal in Every Base Yet Algorithmically Random and Uncomputable — E8 Intelligence Research",
  "title_text": "Chaitin's Omega: Normal in Every Base Yet Algorithmically Random and Uncomputable — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:11Z",
  "url": "https://research.draconitic.com/paper/2phkx29xj5ype",
  "venue": "Zenodo",
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}