{
  "abstract": "FINDING: The core mathematical insight is the existence of *undecidable* problems — statements that are true but unprovable within any consistent formal system, and the Collatz Conjecture as a candidate for such a problem (though not yet proven undecidable). | MATH: Collatz map: \\( T(n) = n/2 \\) if \\( n \\) even, \\( T(n) = 3n+1 \\) if \\( n \\) odd. Conjecture: \\( \\forall n \\in \\mathbb{N}, \\exists k: T^k(n) = 1 \\). Undecidability: Gödel's incompleteness — no finite axiom system can decide all arithmetical truths. Turing's halting problem: no algorithm exists to decide if an arbitrary program halts — formalized as \\( \\nexists H: \\forall (P,x), H(P,x) \\in \\{0,1\\} \\) correctly. | CONNECTION: The Collatz map's structure is *not* geometric — it is purely arithmetic (mod 2). However, the *space* of all possible trajectories forms a binary tree (each odd \\( n \\) has two preimages: \\( 2n \\) and \\( (n-1)/3 \\) if integer), which is a rooted tree with branching ratio 2:1 — a discrete analogue of a se\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": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/1jprnkpvwj2sw.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23616550",
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  "id": "1jprnkpvwj2sw",
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  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1jprnkpvwj2sw.ris",
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      "first_seen": "2026-11-07T12:20:51Z",
      "native_id": "23616550",
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  "title": "Undecidable Truths: The Collatz Conjecture and Gödel's Limits — E8 Intelligence Research",
  "title_text": "Undecidable Truths: The Collatz Conjecture and Gödel's Limits — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:51Z",
  "url": "https://research.draconitic.com/paper/1jprnkpvwj2sw",
  "venue": "Zenodo",
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