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| Formato: | Recurso digital |
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2026
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| Acceso en línea: | https://doi.org/10.5281/zenodo.19616775 |
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| _version_ | 1866901597023371264 |
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| author | Moorehead-McDaniel, Stephen |
| author_facet | Moorehead-McDaniel, Stephen |
| contents | <p>We present a rigorously formal derivation establishing the exact physical dimension of the proton radius as a deterministic geometric limit of the H4 quasicrystalline manifold. By discarding the assumption of a continuous, isotropic Euclidean vacuum, we introduce the Holonomic Locking Theorem, which dictates that the strong coupling constant must achieve unitary saturation when the dynamic gauge phase shift perfectly resonates with the 72-degree torsional holonomy of the Gamma-120 structural boundary. We mathematically institutionalize the Elizabeth Constant (1.5936) as the topological phase-matching scalar and define the geometric dielectric constant, strictly quantifying the hypervolume deficit of the 120-cell lattice relative to its circumscribed 4-ball. Embedding this structural torsion into the Renormalization Group flow equation and resolving the exact analytical trajectory yields a mathematically immutable lattice radius of approximately 0.842 fm. Furthermore, the Weitzenbock coercivity of this boundary guarantees the global transversality of the gauge orbits, strictly precluding Gribov ambiguities. This derivation explicitly proves that the empirical dimension of the proton is the fundamental spatial manifestation of the 120-cell topological governor.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19616775 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Holonomic locking theorem Moorehead-McDaniel, Stephen <p>We present a rigorously formal derivation establishing the exact physical dimension of the proton radius as a deterministic geometric limit of the H4 quasicrystalline manifold. By discarding the assumption of a continuous, isotropic Euclidean vacuum, we introduce the Holonomic Locking Theorem, which dictates that the strong coupling constant must achieve unitary saturation when the dynamic gauge phase shift perfectly resonates with the 72-degree torsional holonomy of the Gamma-120 structural boundary. We mathematically institutionalize the Elizabeth Constant (1.5936) as the topological phase-matching scalar and define the geometric dielectric constant, strictly quantifying the hypervolume deficit of the 120-cell lattice relative to its circumscribed 4-ball. Embedding this structural torsion into the Renormalization Group flow equation and resolving the exact analytical trajectory yields a mathematically immutable lattice radius of approximately 0.842 fm. Furthermore, the Weitzenbock coercivity of this boundary guarantees the global transversality of the gauge orbits, strictly precluding Gribov ambiguities. This derivation explicitly proves that the empirical dimension of the proton is the fundamental spatial manifestation of the 120-cell topological governor.</p> |
| title | Holonomic locking theorem |
| url | https://doi.org/10.5281/zenodo.19616775 |