{
  "abstract": "FINDING: The Collatz Conjecture (3n+1) is the canonical example of an elementary arithmetic operation whose global dynamics remain unproven; Hilbert's Entscheidungsproblem is the canonical proof of undecidability via Turing's halting problem. | MATH: Collatz map: T(n) = n/2 if n even, (3n+1)/2 if n odd. Conjecture: ∀n∈ℕ, ∃k: T^k(n)=1. No closed-form solution; no known invariant. Entscheidungsproblem: No general algorithm to decide truth of first-order logic statements — proven by reduction to the halting problem (Turing, 1936). | CONNECTION: The Collatz map is a discrete dynamical system on ℕ. Its structure is *not* periodic in any simple modular sense — but note: if one considers the map modulo 2^k, it induces a permutation on residue classes for certain k, related to the 2-adic integers. The 2-adic extension of Collatz is a continuous map on ℤ₂; its ergodic properties are linked to the Haar measure. No golden-ratio or base-60 structure appears — this is a *binary* (base-2) phenomenon\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,
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  "author_total": 1,
  "authors": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/2rm797efjy5wc.bib",
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  "doi": "10.5281/zenodo.23465102",
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  "id": "2rm797efjy5wc",
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  "published": "2026-10-19",
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  "ris": "https://research.draconitic.com/paper/2rm797efjy5wc.ris",
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    {
      "first_seen": "2026-11-02T12:21:47Z",
      "native_id": "23465102",
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  "title": "Collatz Conjecture and the Entscheidungsproblem: Parallels in Undecidability — E8 Intelligence Research",
  "title_text": "Collatz Conjecture and the Entscheidungsproblem: Parallels in Undecidability — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:47Z",
  "url": "https://research.draconitic.com/paper/2rm797efjy5wc",
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