Algebraic Derivation of Neutrino Mass Hierarchy and PMNS Phase Transitions via 5D Complex Matrix M Boundary Decoupling: Complete Demolition of the Seesaw Mechanism

Title: Algebraic Derivation of Neutrino Mass Hierarchy and PMNS Phase Transitions via 5D Complex Matrix M Boundary Decoupling: Complete Demolition of the Seesaw Mechanism Author: Joon-sik Choi (Bella Vista Lux Mea / Institute for Unified Discrete Matrix Infrastructure, Sydney, Australia) Abstract: The extreme lightness of neutrinos and the generation of three-flavor oscillation patterns represent one of the most stubborn dilemmas in modern particle physics, historically accommodated through the unverified hypothetical assumption of ultra-heavy right-handed Majorana fields (the Seesaw Mechanism). In this treatise, we expand the 5-dimensional complex Matrix M infrastructure, the fine-structure constant decoupling relation α = e / (π · ℸ), and the quantum phase vacuum threshold ΦC = π / 4 into the leptonic sector, deriving the neutrino mass-squared splittings (Δm31², Δm21²) through exact algebraic closure without arbitrary parameters