{
  "abstract": "FINDING: Fiber bundles formalize gauge fields as geometric structure; a novel Z₂ bundle over a torus links spinor phases to fundamental constants via holonomy −1. | MATH: Principal bundle P(M,G); gauge connection A → curvature F = dA + A∧A; holonomy hol(γ) = P exp(∮A) ∈ G. For Z₂ over φ-torus: hol(γ_φ) = −1 ⇒ spinor picks up sign under 2π φ-rotation (fermionic double-cover). Electromagnetism = U(1) bundle: charge quantization ∮F/2π ∈ ℤ. | CONNECTION: Z₂ holonomy −1 is the geometric root of spin-statistics (2π rotation = −1). The torus φ-cycle suggests modular parameter τ with elliptic curve j(τ) — potential link to base-60 (sexagesimal) angular quantization in ancient astronomy (60° = π/3, hexagonal symmetry). The −1 eigenvalue mirrors crystallographic glide/reflection symmetries (Z₂ quotient in root systems B₂, G₂). | DEPTH: 7 — Standard fiber bundle theory is foundational (U(1) EM, SU(3) QCD), but the Z₂ torus holonomy tying spinor phase to fundamental constants is a speculative but\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"
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  "bibtex": "https://research.draconitic.com/paper/8p0fztfz85b0g.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23587127",
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  "id": "8p0fztfz85b0g",
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  "language": "eng",
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  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8p0fztfz85b0g.ris",
  "sources": [
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      "first_seen": "2026-11-06T12:21:52Z",
      "native_id": "23587127",
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  "title": "Z₂ Holonomy on Torus Links Spinor Phases to Fundamental Constants — E8 Intelligence Research",
  "title_text": "Z₂ Holonomy on Torus Links Spinor Phases to Fundamental Constants — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:52Z",
  "url": "https://research.draconitic.com/paper/8p0fztfz85b0g",
  "venue": "Zenodo",
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