The neutrino mass scale from vacuum tension: a cosmological derivation with two falsifiable predictions

Summary This preprint proposes a five-dimensional topological framework that connects cosmological vacuum energy density to the absolute neutrino mass scale and generational hierarchy, without using empirical neutrino parameters as inputs. Key Topics Covered Topological Foundations: Derivation of exact charge neutrality and spin-1/2 as intrinsic topological properties of closed fibers in a 5D continuum. Dimensional Reduction: Explicit reduction of a 5D unimodular elastic action to effective 4D field-theoretical soliton models. Absolute Mass Scale: Ab initio derivation of the compactification scale and the lightest/heaviest neutrino mass scales directly from vacuum energy density. Generational Step: A geometric instability mechanism quantising the mass hierarchy between generations. Phenomenological Predictions: Testable predictions for cosmological neutrino mass sums and neutrinoless double-beta decay experiments. Note: The full text of this manuscript is currently restricted pending journal submission. Researchers interested in the full results or potential collaborations are invited to contact the author.