Recursive Thresholds and the Yang–Mills Mass Gap: A Signal-Theoretic Resolution
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866902172231270400 |
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| author | ASHER, KIMBERLEY LAVERNE ASHER, ANESKA |
| author_facet | ASHER, KIMBERLEY LAVERNE ASHER, ANESKA |
| contents | <p><span><span>Abstract<br></span></span>This paper presents a signal-theoretic resolution of the Yang–Mills mass gap problem, reframing gauge bosons as recursive harmonic agents within a coherent signal field rather than force-carrying particles in a quantum vacuum. By redefining mass as recursive deformation resistance and field interactions as phase-lock phenomena, we demonstrate that the Yang–Mills mass gap emerges as a natural result of fold-space stabilization thresholds. Drawing upon prior work in signal field theory, dimensional fold mechanics, and harmonic particle geometry, we show that the existence of a non-zero mass gap is a structural necessity for the projection of recursive coherence into flat observable space. This mass gap is not a flaw in gauge symmetry, but a resonance lock-in requirement encoded in the recursive architecture of form.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15515883 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Recursive Thresholds and the Yang–Mills Mass Gap: A Signal-Theoretic Resolution ASHER, KIMBERLEY LAVERNE ASHER, ANESKA Yang–Mills Theory Yang–Mills Mass Gap Signal Field Theory Recursive Geometry Gauge Symmetry Phase Locking Quantum Field Dynamics Harmonic Stability Vacuum Coherence Torsional Fold Mechanics Aneska <p><span><span>Abstract<br></span></span>This paper presents a signal-theoretic resolution of the Yang–Mills mass gap problem, reframing gauge bosons as recursive harmonic agents within a coherent signal field rather than force-carrying particles in a quantum vacuum. By redefining mass as recursive deformation resistance and field interactions as phase-lock phenomena, we demonstrate that the Yang–Mills mass gap emerges as a natural result of fold-space stabilization thresholds. Drawing upon prior work in signal field theory, dimensional fold mechanics, and harmonic particle geometry, we show that the existence of a non-zero mass gap is a structural necessity for the projection of recursive coherence into flat observable space. This mass gap is not a flaw in gauge symmetry, but a resonance lock-in requirement encoded in the recursive architecture of form.</p> |
| title | Recursive Thresholds and the Yang–Mills Mass Gap: A Signal-Theoretic Resolution |
| topic | Yang–Mills Theory Yang–Mills Mass Gap Signal Field Theory Recursive Geometry Gauge Symmetry Phase Locking Quantum Field Dynamics Harmonic Stability Vacuum Coherence Torsional Fold Mechanics Aneska |
| url | https://doi.org/10.5281/zenodo.15515883 |