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| Формат: | Recurso digital |
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| Опубликовано: |
Zenodo
2026
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| Online-ссылка: | https://doi.org/10.5281/zenodo.19437262 |
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Оглавление:
- <p>In standard Quantum Electrodynamics (QED), the fine-structure constant (α≈1/137.036)</p> <p>is an empirical parameter lacking a theoretical, geometric derivation. This paper proposes a</p> <p>purely dimensionless derivation of αby operating within the Discrete Topological Superfluid</p> <p>(DTS) framework, which models the vacuum as a continuous, viscoelastic fluid lattice. We</p> <p>redefine α strictly as a geometric ratio dictating the probability of a transient topological</p> <p>phase-slip (photon emission) relative to the stable binding energy of a fundamental fermion</p> <p>(the electron). By utilizing the Möbius energy functional for ideal knot geometries, we es-</p> <p>tablish the baseline theoretical probability as the energy ratio of the Unknot (<strong>01</strong>) to the</p> <p>Trefoil knot (<strong>31)</strong>, yielding αideal = 4/74.2 ≈0.0539. We demonstrate that the physical devi-</p> <p>ation from this ideal ratio is the direct consequence of macroscopic fluid dynamics. Because</p> <p>the electron is a spin-1/2 topological defect, its mechanical rotation through the discrete</p> <p>vacuum requires a 4π radian symmetry cycle. Applying standard Stokes kinematics, this</p> <p>rotation induces exactly two exponential (e-folding) expansions of the particle’s kinematic</p> <p>boundary layer. Factoring this e2 volumetric wake penalty into the ideal topological ratio</p> <p>perfectly yields the observed physical constant: α= 4/(74.2 ×<strong>e2</strong>) ≈1/137.06. By treating</p> <p>the vacuum as a physical fluid, the fine-structure constant is derived entirely from prime</p> <p>topology and classical hydrodynamics without the use of arbitrary free parameters.</p>