{
  "abstract": "This paper provides a rigorous, non-perturbative axiomatic construction of quantum Yang-Mills theory with a compact non-Abelian gauge group on , establishing a formal connection between structural elastodynamics and subatomic gauge interactions. By mapping the topological and rheological invariants of a self-organizing continuum onto the quantum vacuum, we demonstrate that the system undergoes an algebraic scale-invariance collapse, defined as the Inertial Cancellation Principle.\n\nWe rigorously prove three fundamental theorems of convergence and regularity: first, the weak convergence of the discrete lattice action to the continuous Yang-Mills action under strict reflection positivity, satisfying the Osterwalder-Schrader reconstruction axioms; second, the uniform stability and scale-invariance of the covariant Laplace-Beltrami operator spectrum via the conformal invariance of the Hodge star operator in four dimensions; third, the compactness of the quantum Hamiltonian resolvent, driven by an asymptotic fractal volume lens mechanism.\n\nBy feeding experimentally verified parameters of dense nuclear matter into this geometric-kinematic framework, we analytically derive the existence of a non-zero lower bound in the energy spectrum (the mass gap), quantized at the exact stable value of , alongside an emerging isotropic confinement pressure of which topologically resolves QCD color confinement.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Research"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Piergiuseppe Chianura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b0h9hz387gpt1.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23480094",
  "fulltext_url": null,
  "id": "b0h9hz387gpt1",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23480094",
  "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": "https://zenodo.org/api/records/23480094/files/3%20FORMAL%20DOCUMENTATION%20FOR%20THE%20YANG.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b0h9hz387gpt1.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:20:58Z",
      "native_id": "23480094",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23480094"
    }
  ],
  "subjects": [],
  "title": "FORMAL DOCUMENTATION FOR THE YANG-MILLS MILLENNIUM PRIZE PROBLEM: THE MCEC-TOPOLOGICAL FRAMEWORK",
  "title_text": "FORMAL DOCUMENTATION FOR THE YANG-MILLS MILLENNIUM PRIZE PROBLEM: THE MCEC-TOPOLOGICAL FRAMEWORK",
  "type": "preprint",
  "updated_at": "2026-11-02T12:20:58Z",
  "url": "https://research.draconitic.com/paper/b0h9hz387gpt1",
  "venue": "Zenodo",
  "versions": []
}