{
  "abstract": "FINDING: SU(2) representation theory provides the complete algebraic skeleton for spin, angular momentum, and gauge symmetries; the adjoint representation yields the so(3) algebra with structure constants ε_{ijk}, and the 2D fundamental representation is exactly the Pauli matrices. The Calabi–Yau paper extends this to center symmetry breaking in quantum gravity, linking higher-form symmetries to compactification geometry. | MATH: SU(2) generators satisfy [J_i, J_j] = i ε_{ijk} J_k. Irreducible representations labeled by j = 0, ½, 1, 3/2, … with dimension 2j+1. Pauli matrices σ_a/2 form the j=½ rep: σ_x σ_y − σ_y σ_x = 2i σ_z. Adjoint rep (j=1) has structure constants (T_a)_{bc} = −i ε_{abc}. Casimir J² = j(j+1)𝟙. Center of SU(2) is ℤ₂ = {±𝟙}; center symmetry breaking in Calabi–Yau compactifications involves ℤ_N factors from Wilson lines and higher-form gauge fields. | CONNECTION: The dimension formula 2j+1 yields the sequence 1, 2, 3, 4, 5, … — the integers themselves. The ratio of con\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": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/590s851ca6v51.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23616534",
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  "id": "590s851ca6v51",
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  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/590s851ca6v51.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:20:51Z",
      "native_id": "23616534",
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  "title": "SU(2) Symmetry: From Pauli Matrices to Quantum Gravity's Center Breaking — E8 Intelligence Research",
  "title_text": "SU(2) Symmetry: From Pauli Matrices to Quantum Gravity's Center Breaking — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:51Z",
  "url": "https://research.draconitic.com/paper/590s851ca6v51",
  "venue": "Zenodo",
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