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| Natura: | Recurso digital |
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Zenodo
2026
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| Accesso online: | https://doi.org/10.5281/zenodo.19747168 |
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Sommario:
- <p>Within a framework based on discrete field quanta with nearest-neighbor coupling---whose continuum limit yields the nonlinear Klein--Gordon equation---we present a set of structural conjectures regarding the three-dimensional topology of fundamental particles and its possible extension to astrophysical scales. The electron is conjectured to be a closed vortex ring (the simplest closed topological defect satisfying Helmholtz's theorem), yielding finite total energy, a dipolar $1/r^4$ far-field envelope consistent with the measured electron electric dipole moment, and the Coulomb $1/r^2$ force law. An auxiliary geometric model (the ``3/3 slot model'') is proposed for classifying fermion charges: three orthogonal vortex planes in 3D space provide slots carrying charge $\pm 1/3$ each, naturally reproducing fractional quark charges, $SU(3)$ color counting, and the twelve Standard Model fermions. Finally, we identify a structural correspondence between the topology of confined quarks (central amplitude void, constant-cross-section flux tube, vacuum-pressure confinement) and the observed morphology of supermassive black holes (dark shadow, bright photon ring, collimated relativistic jet, magnetically arrested accretion). These conjectures are explicitly not derived from first principles and are offered as falsifiable directions for future investigation.</p> <p>https://doi.org/10.5281/zenodo.19746799 Main thesis</p>