{
  "abstract": "FINDING: Consciousness quantification via integrated information (Φ) is formally linked to algorithmic information theory, with IIT's core measure shown to be lossy and replaced by a Kolmogorov-complexity-based formulation. | MATH: IIT 3.0/4.0 defines Φ as effective information over a system's cause-effect repertoire; the paper (arXiv:1405.0126) replaces lossy Φ with Φ_K = K(mechanism) − K(mechanism | partition), where K is Kolmogorov complexity (incompressibility measure). PyPhi implements discrete Φ via state-transition matrices; Kolmogorov complexity K(s) = min{|p| : U(p) = s} for universal Turing machine U. | CONNECTION: No direct geometric ratio (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 appears. However, the partition-based integration measure mirrors lattice/crystallographic symmetry breaking: Φ_K quantifies the *irreducible* structure across a partition — analogous to how a root system's Weyl group preserves lattice symmetries only if the partition respects the lattice's ge\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/4jptm2v9e7dq4.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23553598",
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  "id": "4jptm2v9e7dq4",
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  "language": "eng",
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  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4jptm2v9e7dq4.ris",
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    {
      "first_seen": "2026-11-05T12:21:21Z",
      "native_id": "23553598",
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  "subjects": [],
  "title": "A Kolmogorov-Complexity Reformulation of Integrated Information Theory — E8 Intelligence Research",
  "title_text": "A Kolmogorov-Complexity Reformulation of Integrated Information Theory — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:21Z",
  "url": "https://research.draconitic.com/paper/4jptm2v9e7dq4",
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