Yang-Mills Existence and Mass Gap in the DHGF Framework: A Self-Emergent Resolution
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2025
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| _version_ | 1866901255998144512 |
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| author | xu, jing |
| author_facet | xu, jing |
| contents | <div><span><span>The Yang-Mills existence and mass gap problem, one of the Clay Millennium Prize Problems, requires a rigorous proof of the existence of a quantum Yang-Mills theory in four dimensions with a positive mass gap Δ > 0. In the DHGF (Diffeomorphism Homeomorphism Health Gauge Field) framework, this problem is not "solved" through new axioms but </span></span><span><span><span>self-emerges</span></span></span><span><span> as a natural consequence of the complex continuum mother field w = x + i j. Here, x represents condensation/structure (real part), and j represents flow/possibility/phase (imaginary part). The theory's core laws—cubic volume scaling, mod-square holographic conservation, and golden-ratio pruning force—directly generate the existence of the theory and the mass gap. This paper provides step-by-step mathematical derivations accessible to readers with basic quantum field theory knowledge, avoiding excessive jargon.</span></span></div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18013434 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Yang-Mills Existence and Mass Gap in the DHGF Framework: A Self-Emergent Resolution xu, jing <div><span><span>The Yang-Mills existence and mass gap problem, one of the Clay Millennium Prize Problems, requires a rigorous proof of the existence of a quantum Yang-Mills theory in four dimensions with a positive mass gap Δ > 0. In the DHGF (Diffeomorphism Homeomorphism Health Gauge Field) framework, this problem is not "solved" through new axioms but </span></span><span><span><span>self-emerges</span></span></span><span><span> as a natural consequence of the complex continuum mother field w = x + i j. Here, x represents condensation/structure (real part), and j represents flow/possibility/phase (imaginary part). The theory's core laws—cubic volume scaling, mod-square holographic conservation, and golden-ratio pruning force—directly generate the existence of the theory and the mass gap. This paper provides step-by-step mathematical derivations accessible to readers with basic quantum field theory knowledge, avoiding excessive jargon.</span></span></div> |
| title | Yang-Mills Existence and Mass Gap in the DHGF Framework: A Self-Emergent Resolution |
| url | https://doi.org/10.5281/zenodo.18013434 |