Resolution of the Hierarchy Problem and Neutrino Masses in the SV0 Theory of Everything

This manuscript is the nineteenth paper in a series establishing the Signed-Volume Effective-Fluid (SV0) model. In Papers I-XVIII, we introduced the SV0 model, derived its microphysics, established its dynamical stability, constructed a unified cosmological history, resolved the cosmological constant problem, analyzed CMB signatures, explored its quantum cosmology, provided a discrete spacetime derivation, explained baryogenesis, discussed the emergence of gauge symmetries, introduced the Universal Information Field (UIF), resolved the dark matter problem, and explored traversable wormholes. In this nineteenth work, we apply the SV0 Theory of Everything to resolve two outstanding problems in particle physics: the hierarchy problem and the origin of neutrino masses. The hierarchy problem—why the Higgs boson mass is so much smaller than the Planck scale—is resolved by the discrete nature of spacetime (Paper XIII). The Planck-scale cutoff is dynamically softened by the cancellation of vacuum energy between the positive and negative volume sectors. Furthermore, we demonstrate that neutrino masses arise from the geometric mixing between the V_A and V_B sectors via the SV0 exchange current. This geometric see-saw mechanism produces masses in the sub-eV range, explaining their extreme smallness compared to other fermions. This completes the SV0 particle physics framework. Related Works:Paper I: https://doi.org/10.5281/zenodo.24026844Paper II: https://doi.org/10.5281/zenodo.24032977Paper III: https://doi.org/10.5281/zenodo.24033838Paper IV: https://doi.org/10.5281/zenodo.24034927Paper V: https://doi.org/10.5281/zenodo.24035268Paper VI: https://doi.org/10.5281/zenodo.24035911Paper VII: https://doi.org/10.5281/zenodo.24038624Paper VIII: https://doi.org/10.5281/zenodo.24039486Paper IX: https://doi.org/10.5281/zenodo.24040648Paper X: https://doi.org/10.5281/zenodo.24046082Paper XI: https://doi.org/10.5281/zenodo.24046162Paper XII: https://doi.org/10.5281/zenodo.24046233Paper XIII: https://doi.org/10.5281/zenodo.24046352Paper XIV: https://doi.org/10.5281/zenodo.24046520Paper XV: https://doi.org/10.5281/zenodo.24046626Paper XVI: https://doi.org/10.5281/zenodo.24047178Paper XVII: https://doi.org/10.5281/zenodo.24047385Paper XVIII: https://doi.org/10.5281/zenodo.24047480