{
  "abstract": "FINDING: Chern-Simons theory provides a topological quantum field theory framework where knot invariants and 3D gravity emerge from gauge-theoretic path integrals, with Wilson loops as primary observables. | MATH: Chern-Simons action \\( S_{CS} = \\frac{k}{4\\pi} \\int_M \\mathrm{Tr}(A \\wedge dA + \\frac{2}{3} A \\wedge A \\wedge A) \\); level \\( k \\in \\mathbb{Z} \\) (quantization); Wilson loop \\( W_R(C) = \\mathrm{Tr}_R \\, \\mathcal{P} \\exp(\\oint_C A) \\); knot invariants (Jones polynomial) arise from \\( \\langle W_R(C) \\rangle \\) at \\( k \\to \\infty \\) with \\( q = e^{2\\pi i/(k+2)} \\); 3D gravity = Chern-Simons with gauge group \\( SO(1,2) \\) or \\( ISO(1,2) \\), coupling \\( 1/G \\sim k \\). | CONNECTION: The level \\( k \\) relates to \\( q = e^{2\\pi i/(k+2)} \\); for \\( k=3 \\), \\( q = e^{2\\pi i/5} \\), linking to golden-ratio pentagonal symmetry (5-fold, not crystallographic in 3D but appears in quasicrystals and root system \\( H_2 \\)); Jones polynomial at roots of unity yields quantum groups \\( U_q(\\mathfr\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/90m5fky2eg5rn.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23447057",
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  "id": "90m5fky2eg5rn",
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  "landing_url": "https://zenodo.org/records/23447057",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/90m5fky2eg5rn.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:21:48Z",
      "native_id": "23447057",
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      "url": "https://zenodo.org/records/23447057"
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  "subjects": [],
  "title": "Chern-Simons Theory: Unifying Knot Invariants and 3D Gravity via Gauge Path Integrals — E8 Intelligence Research",
  "title_text": "Chern-Simons Theory: Unifying Knot Invariants and 3D Gravity via Gauge Path Integrals — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:48Z",
  "url": "https://research.draconitic.com/paper/90m5fky2eg5rn",
  "venue": "Zenodo",
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}