{
  "abstract": "FINDING: SU(2) representation theory underpins spin/weak-force symmetry; its irreducible representations are indexed by half-integers, with adjoint rep dimension 3 (isomorphic to so(3)); center symmetry breaking in Calabi-Yau compactifications constrains higher-form global symmetries in quantum gravity. | MATH: SU(2) irreps labeled by spin \\(j = 0, \\frac{1}{2}, 1, \\ldots\\), dimension \\(2j+1\\). Adjoint rep: \\(j=1\\), dimension 3, generators \\(T^a = \\frac{1}{2}\\sigma^a\\) (Pauli) in fundamental; structure constants \\(\\epsilon^{abc}\\) (so(3) isomorphism). Center \\(Z(SU(2)) = \\{\\pm I\\} \\cong \\mathbb{Z}_2\\). Casimir: \\(C_2 = j(j+1)\\). For \\(j=1/2\\): \\(C_2 = 3/4 = 0.75\\). For \\(j=1\\): \\(C_2 = 2\\). Clebsch-Gordan: \\(j_1 \\otimes j_2 = \\bigoplus_{J=|j_1-j_2|}^{j_1+j_2} J\\). Calabi-Yau: center symmetry breaking criterion involves \\(\\mathbb{Z}_N\\) (or \\(\\mathbb{Z}_2\\) for SU(2)) higher-form symmetries; quantitative bound from arXiv:2503.19628v1 (no explicit equation extracted from abstract, but inv\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/18s5g83f0qqw5.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658319",
  "fulltext_url": null,
  "id": "18s5g83f0qqw5",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23658319",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/18s5g83f0qqw5.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:37Z",
      "native_id": "23658319",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658319"
    }
  ],
  "subjects": [],
  "title": "Symmetry Breaking in SU(2) and Calabi-Yau Constraints on Quantum Gravity — E8 Intelligence Research",
  "title_text": "Symmetry Breaking in SU(2) and Calabi-Yau Constraints on Quantum Gravity — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:37Z",
  "url": "https://research.draconitic.com/paper/18s5g83f0qqw5",
  "venue": "Zenodo",
  "versions": []
}