{
  "abstract": "FINDING: SU(2) representation theory underpins weak-force symmetry and quantum gravity constraints on higher-form symmetry breaking; adjoint representation yields the so(3) algebra with structure constants tied to the Levi-Civita symbol. | MATH: SU(2) ≅ {q ∈ ℍ : |q|=1} (unit quaternions); Lie algebra su(2): [J_i, J_j] = i ε_ijk J_k; irreducible representations labeled by spin j ∈ {0, ½, 1, …}, dimension 2j+1; adjoint rep (j=1) has structure constants ε_ijk; Casimir J² = j(j+1)𝟙; center ℤ₂ = {±𝟙}; Calabi–Yau compactification: higher-form symmetry breaking criterion tied to gauge group center and discrete torsion (arXiv:2503.19628v1). | CONNECTION: The quaternionic structure of SU(2) maps to the 4D hypercomplex basis {1, i, j, k} — the norm-1 condition gives the 3-sphere S³, whose Hopf fibration S¹→S³→S² encodes the golden-ratio-linked stereographic projection of the 600-cell (icosahedral symmetry, A₄ root system). The adjoint rep's ε_ijk are the structure constants of so(3) ≅ su(2)/ℤ₂,\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/b2vgw8kfcp9b6.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23490926",
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  "id": "b2vgw8kfcp9b6",
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  "landing_url": "https://zenodo.org/records/23490926",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b2vgw8kfcp9b6.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:23Z",
      "native_id": "23490926",
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      "url": "https://zenodo.org/records/23490926"
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  ],
  "subjects": [],
  "title": "SU(2) Symmetry: From Weak Force to Quantum Gravity Constraints — E8 Intelligence Research",
  "title_text": "SU(2) Symmetry: From Weak Force to Quantum Gravity Constraints — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:23Z",
  "url": "https://research.draconitic.com/paper/b2vgw8kfcp9b6",
  "venue": "Zenodo",
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}