{
  "abstract": "We propose a phenomenological toy framework promoted to a minimal three-state internal sector in $(3+1)$ dimensions and realized by composite strong dynamics. It is in a genuine three-body holonomy which originates in a relativistic $(1+1)$-dimensional Dirac system. The hypothesis is that the number three is not imposed first as a gauge symmetry, but is inherited from the primitive closed cyclic structure of the three-body holonomy. This threefold structure subsequently reappears as a three-state internal space, the three-site loop, a three-flavor hidden sector, and a cubic determinant interaction. We introduce an asymptotically free hidden $SU(3)_H$ gauge theory with three Standard-Model-singlet Dirac flavors. Strong hidden dynamics generates a composite condensate, while the inherited holonomy selects its cyclic internal orientation. The anomalous cubic determinant interaction produces a holonomy-dependent potential, and dimensional transmutation generates the characteristic composite scale. The radial composite excitation along the cyclic direction, denoted by $S_3$, couples to the Standard-Model Higgs doublet through a holonomy-dependent CP-even portal. The resulting condensate shifts the Higgs quadratic term and can trigger electroweak symmetry breaking. In the classically scale-invariant reference limit, the electroweak scale is induced from the dynamically generated hidden-sector scale through dimensionless portal couplings.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04202",
  "author_total": 1,
  "authors": [
    {
      "name": "Tadashi Yoshikawa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/52f6xftrc0knk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04202",
  "fulltext_url": null,
  "id": "52f6xftrc0knk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04202",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7220725445",
  "pdf_url": "https://arxiv.org/pdf/2610.04202",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/52f6xftrc0knk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04202",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04202"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "A Composite Three-Body-Holonomy Toy Framework for Dynamical Electroweak-Scale Selection",
  "title_text": "A Composite Three-Body-Holonomy Toy Framework for Dynamical Electroweak-Scale Selection",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/52f6xftrc0knk",
  "venue": "arXiv",
  "versions": []
}