{
  "abstract": "FINDING: Integrated Information Theory (IIT) faces a fundamental mathematical flaw: the core measure Φ (phi) is ill-defined for general physical systems, undermining its claim to quantify consciousness. | MATH: Φ = integrated information (Tononi); prior formalizations (Griffith 2014) rely on information loss; new critique (arXiv:1902.04321) shows Φ is not well-defined — no unique partition exists for arbitrary systems; group testing (arXiv:1902.06002) provides combinatorial bounds on sparse inference, relevant to partitioning complexity. | CONNECTION: The failure of Φ to be well-defined mirrors the breakdown of unique geometric decomposition — akin to non-unique tilings or non-crystallographic point groups (e.g., Penrose tilings with 5-fold symmetry) where no single invariant partition exists. The search for a consciousness measure parallels seeking a universal ratio; none emerges from this evidence. | DEPTH: 6 — It kills a popular theory but offers no replacement; the negative result\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/3y7ctpb861v6g.bib",
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  "doi": "10.5281/zenodo.23465176",
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  "id": "3y7ctpb861v6g",
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  "language": "eng",
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  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3y7ctpb861v6g.ris",
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      "first_seen": "2026-11-02T12:21:47Z",
      "native_id": "23465176",
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  "subjects": [],
  "title": "Mathematical Flaw in Integrated Information Theory Undermines Φ as Consciousness Measure — E8 Intelligence Research",
  "title_text": "Mathematical Flaw in Integrated Information Theory Undermines Φ as Consciousness Measure — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:47Z",
  "url": "https://research.draconitic.com/paper/3y7ctpb861v6g",
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