Mass as Stabilized Redistribution: A ψ₀-OCM Reformulation

This work presents a reformulation of mass within the ψ₀-OCM (Osborne Cosmological Model), in which mass is interpreted as a boundary-locked stabilization state of redistribution flux rather than an intrinsic property of matter. The formulation retains full consistency with relativistic and quantum descriptions while recasting mass as an emergent persistence condition governed by closure and detachment dynamics. A stabilization formalism is developed in which discrete particle masses arise as admissible eigenmodes of boundary-constrained redistribution. Within redistribution-locked regimes (PDS-1), the classical relation E=mc2 emerges as a local equilibrium condition, while outside such regimes mass behaves as a dynamical stabilization parameter coupled to redistribution gradients. This framework provides a unified interpretation of: mass–energy equivalence as an equilibrium closure relation inertial response as persistence against redistribution gradients gravitational mass as boundary-mediated stabilization particle mass spectra as admissible stabilization eigenmodes effective mass variation in extreme environments, including the early universe and compact objects Observable implications include environment-dependent effective mass behavior in strong-field regimes, deviations from fixed mass assumptions under incomplete stabilization, and measurable signatures in high-energy and astrophysical systems. Classical relativistic and quantum mass relations are obtained in the limit of fully stabilized regimes, ensuring direct correspondence with established physical theory.