Yang–Mills Mass Gap from Teleparallel Torsion: A Proof within the Unified Field Sentient Resonance Framework
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| Format: | Recurso digital |
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2026
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| _version_ | 1866901190350995456 |
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| author | Terruli, Aaron J E |
| author_facet | Terruli, Aaron J E |
| contents | <p>We prove that Yang–Mills theory on R4 with compact simple gauge group possesses</p> <p>a mass gap ∆ > 0. The proof proceeds by identifying Yang–Mills gauge theory as the</p> <p>minimal dynamical theory of teleparallel torsion in an internal Lie-algebra bundle</p> <p>over the 3-torus T3. In this setting, the non-Abelian self-interaction of torsion—</p> <p>encoded in the quartic vertex 1</p> <p>4 f A</p> <p>BC fADEωBωCωDωE—generates a mass scale</p> <p>dynamically, without symmetry breaking and without any externally imposed mass</p> <p>parameter. The compactness of the base topology discretises the spectrum, ensuring</p> <p>that no modes exist between zero and ∆. Conservation laws (charge, current) follow</p> <p>automatically from the teleparallel Bianchi identity dT A = 0, requiring no additional</p> <p>postulates.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19187431 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Yang–Mills Mass Gap from Teleparallel Torsion: A Proof within the Unified Field Sentient Resonance Framework Terruli, Aaron J E <p>We prove that Yang–Mills theory on R4 with compact simple gauge group possesses</p> <p>a mass gap ∆ > 0. The proof proceeds by identifying Yang–Mills gauge theory as the</p> <p>minimal dynamical theory of teleparallel torsion in an internal Lie-algebra bundle</p> <p>over the 3-torus T3. In this setting, the non-Abelian self-interaction of torsion—</p> <p>encoded in the quartic vertex 1</p> <p>4 f A</p> <p>BC fADEωBωCωDωE—generates a mass scale</p> <p>dynamically, without symmetry breaking and without any externally imposed mass</p> <p>parameter. The compactness of the base topology discretises the spectrum, ensuring</p> <p>that no modes exist between zero and ∆. Conservation laws (charge, current) follow</p> <p>automatically from the teleparallel Bianchi identity dT A = 0, requiring no additional</p> <p>postulates.</p> |
| title | Yang–Mills Mass Gap from Teleparallel Torsion: A Proof within the Unified Field Sentient Resonance Framework |
| url | https://doi.org/10.5281/zenodo.19187431 |