Paper Q: Strong Coupling from Lattice Geometry — Derivation of α s α s from FCC Void Channel Architecture
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2026
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| _version_ | 1866901655834853376 |
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| author | Fedor, Kapitanov |
| author_facet | Fedor, Kapitanov |
| contents | <p>We derive the strong coupling constant α<sub>s</sub> at the Z-boson mass scale directly from the geometry of the FCC lattice with zero free parameters. This paper resolves the magnitude of the strong interaction as a geometric consequence of parallel channel processing in lattice voids.</p> <p><strong>The Main Result:</strong></p> <blockquote> <p><strong>α<sub>s</sub>(M<sub>Z</sub>) = 16 / 137.036 ≈ 0.1168</strong></p> </blockquote> <p>Compared to the experimental world average α<sub>s</sub>(M<sub>Z</sub>) = 0.1179 ± 0.0009, this derivation achieves <strong>99.1% accuracy</strong> (Class II Rigidity) purely from first principles.</p> <p><strong>Key Derivation Steps:</strong></p> <ol> <li><strong>Void Channels (Gluons):</strong> The FCC lattice (coordination number k=12) has 4 tetrahedral voids per node. The number of void-to-void channels is k − 4 = 8. This identifies the 8 gluons of QCD as geometric pathways.</li> <li><strong>String Topology:</strong> Strong interaction requires a closed string (quark-antiquark pair). A transaction requires confirmation from both endpoints: 8 channels × 2 endpoints = 16 active channels.</li> <li><strong>Impedance Normalization:</strong> The total lattice impedance is α<sup>−1</sup> ≈ 137. The coupling constant is simply the ratio of active channels to total impedance: 16 / 137.</li> </ol> <p>This work suggests that the strong force is ~16 times stronger than electromagnetism not due to arbitrary constants, but because it utilizes a <strong>16-channel parallel bus structure</strong> inherent to the FCC void geometry, compared to the single-channel nodal structure of the electron.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18845867 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper Q: Strong Coupling from Lattice Geometry — Derivation of α s α s from FCC Void Channel Architecture Fedor, Kapitanov <p>We derive the strong coupling constant α<sub>s</sub> at the Z-boson mass scale directly from the geometry of the FCC lattice with zero free parameters. This paper resolves the magnitude of the strong interaction as a geometric consequence of parallel channel processing in lattice voids.</p> <p><strong>The Main Result:</strong></p> <blockquote> <p><strong>α<sub>s</sub>(M<sub>Z</sub>) = 16 / 137.036 ≈ 0.1168</strong></p> </blockquote> <p>Compared to the experimental world average α<sub>s</sub>(M<sub>Z</sub>) = 0.1179 ± 0.0009, this derivation achieves <strong>99.1% accuracy</strong> (Class II Rigidity) purely from first principles.</p> <p><strong>Key Derivation Steps:</strong></p> <ol> <li><strong>Void Channels (Gluons):</strong> The FCC lattice (coordination number k=12) has 4 tetrahedral voids per node. The number of void-to-void channels is k − 4 = 8. This identifies the 8 gluons of QCD as geometric pathways.</li> <li><strong>String Topology:</strong> Strong interaction requires a closed string (quark-antiquark pair). A transaction requires confirmation from both endpoints: 8 channels × 2 endpoints = 16 active channels.</li> <li><strong>Impedance Normalization:</strong> The total lattice impedance is α<sup>−1</sup> ≈ 137. The coupling constant is simply the ratio of active channels to total impedance: 16 / 137.</li> </ol> <p>This work suggests that the strong force is ~16 times stronger than electromagnetism not due to arbitrary constants, but because it utilizes a <strong>16-channel parallel bus structure</strong> inherent to the FCC void geometry, compared to the single-channel nodal structure of the electron.</p> |
| title | Paper Q: Strong Coupling from Lattice Geometry — Derivation of α s α s from FCC Void Channel Architecture |
| url | https://doi.org/10.5281/zenodo.18845867 |