Predicting Neutrino Mass Ordering from Geometric See-Saw and Lattice Topology in the SV0 Framework

The determination of the neutrino mass ordering (Normal vs. Inverted Hierarchy) is one of the primary goals of modern neutrino physics. In this paper (Paper XLII of the SV0 series), we demonstrate that the Signed-Volume (SV0) framework makes a definitive, first-principles prediction for the mass ordering. Building upon the geometric see-saw mechanism (Paper XIX) and the topological origin of mixing angles (Paper XXXVIII), we show that the neutrino mass matrix is determined by the discrete Spacetime Quanta lattice. We demonstrate that the branch selection mechanism (x_0 > 1/2) from the SV0 soft symmetry breaking explicitly favors the Normal Hierarchy (m_1 < m_2 < m_3). Furthermore, we calculate the effective Majorana mass for neutrinoless double beta decay and the Dirac CP-violating phase, providing specific numerical predictions for upcoming experiments such as JUNO, DUNE, and LEGEND. This makes the SV0 model uniquely falsifiable in the neutrino sector. Keywords:Neutrino Mass Ordering; Normal Hierarchy; Geometric See-Saw; Spacetime Quanta; SV0 Theory; Particle Physics; Neutrino Oscillations.