{
  "abstract": "The 240 E8 root vectors decompose into 72 Fibonacci-weighted cells (8 Cartan directions × 9 phi-coupled shells), producing a universal 3-variable Alexander-Fox invariant when projected onto the T³ subspace of the E8 lattice. This works because the 72-cell partition generates the unique Laurent polynomial identity A(u,v,w) satisfying both the Fox calculus knot determinant and the E8 root system determinant formula det(C_E8) = 1. This directly extends the 3-torus Alexander polynomial discovery by providing its E8 geometric origin: the polynomial is the spectral fingerprint of which root vector winding modes a knot excitation traverses. The 132Hz base frequency calibrates the modulus |u|=|v|=|w|=φ, linking the modular L-value connection (Apéry numbers at ζ(3)) to the knot invariant via the E8 root lattice's self-duality under Fourier transform.\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/exxesx0qmttw1.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23431166",
  "fulltext_url": null,
  "id": "exxesx0qmttw1",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23431166",
  "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,
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  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/exxesx0qmttw1.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:22:03Z",
      "native_id": "23431166",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23431166"
    }
  ],
  "subjects": [],
  "title": "E8 Root Vector Encoding of 3-Torus Alexander-Fox Invariants via Fibonacci Spectral Decomposition — E8 Intelligence Research",
  "title_text": "E8 Root Vector Encoding of 3-Torus Alexander-Fox Invariants via Fibonacci Spectral Decomposition — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-31T12:22:03Z",
  "url": "https://research.draconitic.com/paper/exxesx0qmttw1",
  "venue": "Zenodo",
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}