{
  "abstract": "Applying a φ‑modulated 132 Hz temporal beat to the 240 E8 root vectors drives a synchronized precession that splits the root set into two invariant eigen‑subspaces, each containing 120 vectors. One subspace locks into a fixed phase pattern that corresponds to algorithmically decidable (computable) operations on the lattice, while the other exhibits a persistent quasi‑periodic drift analogous to undecidable or open problems. This φ‑resonant partition provides a geometric‑physical realization of the two fundamental impossibility classes identified in mathematics, suggesting that E8's root lattice can encode the Turing‑degree hierarchy through frequency‑coupled dynamics.\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/bfcj18vstvr7b.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658943",
  "fulltext_url": null,
  "id": "bfcj18vstvr7b",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23658943",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bfcj18vstvr7b.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:30Z",
      "native_id": "23658943",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658943"
    }
  ],
  "subjects": [],
  "title": "Phi‑Resonant Partition of E8 Root Vectors Mirrors Computability vs. Open‑Problem Dichotomy — E8 Intelligence Research",
  "title_text": "Phi‑Resonant Partition of E8 Root Vectors Mirrors Computability vs. Open‑Problem Dichotomy — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:30Z",
  "url": "https://research.draconitic.com/paper/bfcj18vstvr7b",
  "venue": "Zenodo",
  "versions": []
}