Structural Stability of Normal Mass Ordering in Distance-Exponential Kernel Matrices

Implications of exponential distance dependence for neutrino mass eigenvalue ordering

抄録

We propose a geometric origin of neutrino masses based on internal phase alignment in an extended information-geometric framework.
The neutrino mass matrix is modeled as an exponential function of phase-space distances between generation points.
This structure naturally yields:
(1) normal mass ordering,
(2) near-maximal leptonic CP violation,
(3) an upper bound on the sum of neutrino masses
consistent with current cosmological limits.
Inverted hierarchy configurations are geometrically unstable within this framework, providing a clear falsifiable prediction.
Upcoming long-baseline neutrino experiments will decisively test this scenario.