{
  "abstract": "论文描述\n\n论文标题(中文):杨-米尔斯存在性与质量缺口的公理化框架:双前提ZFC出域闭环与亚庄CBQ出不去范式统摄治理\n\n论文标题(英文):Axiomatization Framework for the Yang-Mills Existence and Mass Gap: Dual-Premise ZFC Domain Exit Closed-Loop and Yazhuang CBQ Inescapable Domain Governance\n\n卷宗编号:Yazhuang CBQ-MATH-24-YM01-SUPP\n\n版本:V3\n\n范式归属:Yazhuang CBQ Inescapable Paradigm\n\n1. Overview\n\nThis paper provides a rigorous axiomatization framework for the Yang-Mills existence and mass gap problem based on the Yazhuang CBQ Inescapable Paradigm. ZFC perturbative and local gauge-theoretic tools are insufficient to control the non-perturbative infrared behavior and enforce a strictly positive mass gap. ZFC is forced to execute a Domain Exit. We introduce the \"Gauge Field Spectral Gap Coupling Functional\" Γ[A] and establish dual legislative axioms: T-YM’ (Continuum Limit Existence) and T-YM” (Strictly Positive Mass Gap).\n\n2. Background\n\nZFC classical tools in Yang-Mills theory are trapped by structural breaks: Osterwalder-Schrader reconstruction requires proving five axioms simultaneously in the continuum limit, Wilson’s renormalization group cannot bridge UV asymptotic freedom to IR confinement, perturbative asymptotic freedom is a UV property while mass gap is an IR phenomenon, and ’t Hooft instanton calculus provides semi-classical insights but cannot rigorously prove spectral gap generation. Five distinct ZFC paths have been rigorously diagnosed (OS reconstruction, lattice gauge renormalization group, asymptotic freedom/infrared confinement, ’t Hooft instanton topology, and spectral gap), each equipped with a Formal Dead Knot Statement proving that ZFC cannot establish existence and mass gap without circular reasoning.\n\n3. Core Logic - The Necessity of ZFC Domain Exit and Bridging Closed-Loop\n\nTo achieve the closed loop, ZFC’s domain exit is a strict necessity. We realize this through four completenesses:\n\n(1) ZFC Exhaustion: We rigorously diagnose five ZFC paths (OS reconstruction, lattice RG, asymptotic freedom, ’t Hooft instantons, spectral gap), each providing a Formal Dead Knot Statement proving ZFC structural unreachability in the Yang-Mills context.\n\n(2) Axiom Admission: Introduced the Gauge Field Spectral Gap Coupling Functional Γ[A] with four dynamical properties (non-negativity, minimal value condition, global balance nullification, and spectral gap control), establishing dual legislative axioms T-YM’ (Continuum Limit Existence) and T-YM” (Strictly Positive Mass Gap), strictly verified by three Yazhuang CBQ admission criteria.\n\n(3) Bridging Derivation: Three intermediate lemmas (OS reconstruction constraint, asymptotic freedom infrared bottleneck, ’t Hooft instanton topological constraint) interlock ZFC tools with Γ[A]=0 to exclude the failure branch. Via exhaustive dichotomy, any failure branch would violate the global balance nullification condition (Γ[A]=0), rigorously establishing both continuum limit existence and a strictly positive mass gap.\n\n(4) Falsifiability: Four concrete verification tests are provided (counterexample test, lattice Monte Carlo numerical test, renormalization group flow continuity test, weak axiom independence test), ensuring the dual axioms T-YM’ and T-YM” make empirically testable predictions.\n\n4. Proof Type\n\nExplicitly positioned as a Dual-Premise Type-B Conditional Closed-Loop Proof: formal closure within the Yazhuang CBQ domain, with the ZFC carrier ensuring academic compliance. The framework includes 17 classical references (from Yang-Mills 1954 to ’t Hooft 1976 and beyond), four concrete Falsifiability Tests, and the Yazhuang CBQ Axiom Admission Criteria Verification with minimality argument.\n\n5. Keywords\n\nYang-Mills Existence, Mass Gap, ZFC Unreachability, Yazhuang CBQ Inescapable Paradigm, Gauge Field Spectral Gap Coupling Functional, Universal Logic Closed-Loop, Falsifiability",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Yazhuang 翟"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eq5m9jp5c11vz.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23503020",
  "fulltext_url": null,
  "id": "eq5m9jp5c11vz",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23503020",
  "language": null,
  "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/23503020/files/%E6%9D%A8-%E7%B1%B3%E5%B0%94%E6%96%AF%E5%AD%98%E5%9C%A8%E6%80%A7%E4%B8%8E%E8%B4%A8%E9%87%8F%E7%BC%BA%E5%8F%A3_%E5%85%AC%E7%90%86%E5%8C%96%E6%A1%86%E6%9E%B6_V3%E4%BF%AE%E6%94%B9%E5%AE%9A%E7%A8%BF%E7%89%88.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eq5m9jp5c11vz.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:41Z",
      "native_id": "23503020",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23503020"
    }
  ],
  "subjects": [],
  "title": "Axiomatization Framework for the Yang-Mills Existence and Mass Gap: Dual-Premise ZFC Domain Exit Closed-Loop and Yazhuang CBQ Inescapable Domain Governance (杨-米尔斯存在性与质量缺口的公理化框架:双前提ZFC出域闭环与亚庄CBQ出不去范式统摄治理)",
  "title_text": "Axiomatization Framework for the Yang-Mills Existence and Mass Gap: Dual-Premise ZFC Domain Exit Closed-Loop and Yazhuang CBQ Inescapable Domain Governance (杨-米尔斯存在性与质量缺口的公理化框架:双前提ZFC出域闭环与亚庄CBQ出不去范式统摄治理)",
  "type": "preprint",
  "updated_at": "2026-11-03T12:20:41Z",
  "url": "https://research.draconitic.com/paper/eq5m9jp5c11vz",
  "venue": "Zenodo",
  "versions": []
}