Superstring–Fabric Spacetime (SFS): Geometric Origin of the Weak Nuclear Force

AbstractIn this work, the weak nuclear interaction is reformulated within the Superstring–Fabric Spacetime (SFS) framework, where spacetime is modeled as a continuous elastic medium composed of interconnected fundamental strings. Elementary particles are interpreted as localized wave excitations of this fabric, while fundamental interactions arise from specific geometric deformation modes. Starting from an effective elastic Lagrangian for the spacetime fabric, we show that compressional (curvature) and rotational (torsional) distortions correspond to independent propagating degrees of freedom. Weak interaction processes are identified with regimes in which these modes become dynamically coupled through topological rearrangements of particle–wave configurations. A unified geometric vector field Wμ, constructed from curvature and torsion components, is derived and shown to satisfy a Proca–type equation with an effective mass determined by the torsional stiffness of the fabric. Coupling this geometric field to conserved particle–wave currents yields, in the low–energy limit, an effective four–current interaction identical in form to Fermi’s theory of beta decay. Parity violation emerges naturally from the axial character of torsional distortions, providing a geometric explanation of the handedness observed in weak processes. The framework reproduces the short interaction range, universality of the Fermi constant, and qualitative features of the electroweak sector without invoking spontaneous symmetry breaking as a fundamental mechanism. These results suggest that the weak interaction may be understood as an emergent manifestation of spacetime fabric dynamics rather than as a purely internal gauge interaction. Related Works (Superstring–Fabric Spacetime (SFS) Program): Core SFS model formulation (SFS Model):https://doi.org/10.5281/zenodo.17727233 Unified Action of SFS: A Geometric Theory of Gravity,Electromagnetism, Strong and Weak: https://doi.org/10.5281/zenodo.18623343 Extended quantum–geometric framework (SFS Model):https://doi.org/10.5281/zenodo.17864031 Geometric origin of electromagnetism (SFS Model):https://doi.org/10.5281/zenodo.18182324 Geometric Origin of the Strong Nuclear Force (SFS Model):https://doi.org/10.5281/zenodo.18498802