{
  "abstract": "FINDING: Fiber bundles formalize \"extra dimensions\" attached to each spacetime point; the Hopf fibration S³→S² with U(1) fiber is the canonical example, and a Z₂ bundle over the φ-torus yields holonomy −1, encoding spinor-like sign flips for fundamental constants. | MATH: Hopf fibration: S¹ ↪ S³ → S² (fiber U(1) ≅ S¹); Z₂ bundle: hol(γ_φ) = −1 ∈ {+1,−1}; principal bundle: P → M with structure group G (e.g., U(1) for EM); fiber bundle model: Hookean springs with breaking thresholds, load-sharing dynamics (arXiv:2012.12698). | CONNECTION: The Z₂ holonomy −1 is the geometric root of spin-½ statistics — a double cover, directly analogous to the 2:1 covering SU(2)→SO(3), whose character table and root system (A₁) encode the golden ratio via the icosahedral/dodecahedral symmetry (5-fold axes, φ = 2cos(π/5) = 1.618). The U(1) fiber's circle group has Z₂ subgroup {±1}, linking to the 0.5 ratio (half-integer spin). No direct 0.382/0.618/0.786/2.618 or base-60 appears in these sources. | DEPTH:\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/b31arj37mdaad.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23526130",
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  "id": "b31arj37mdaad",
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  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b31arj37mdaad.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:21:51Z",
      "native_id": "23526130",
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      "url": "https://zenodo.org/records/23526130"
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  "subjects": [],
  "title": "Hopf Fibration and Z₂ Holonomy: Fiber Bundle Models for Spinor Sign Flips — E8 Intelligence Research",
  "title_text": "Hopf Fibration and Z₂ Holonomy: Fiber Bundle Models for Spinor Sign Flips — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-04T12:21:51Z",
  "url": "https://research.draconitic.com/paper/b31arj37mdaad",
  "venue": "Zenodo",
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}