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 remains fully consistent 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. A canonical quasi-local mass functional is derived and shown to recover standard gravitational sourcing in stabilization-locked regimes while introducing experimentally testable deviations. Field and operator formulations are presented, together with laboratory proxy tests using Bose–Einstein condensates to discriminate stabilization-based inertia from intrinsic-mass frameworks. This framework provides a unified interpretation of mass–energy equivalence, inertial response, gravitational mass, and particle mass spectra within a boundary-mediated stabilization paradigm. 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, astrophysical, and laboratory systems. A controlled correspondence limit is derived in which Penrose-type objective-reduction scaling emerges as a limiting case of stabilization dynamics, without asserting fundamental non-unitary collapse. Classical relativistic and quantum mass relations are recovered in the limit of fully stabilized regimes, ensuring direct correspondence with established physical theory. Key contributions:• Mass reformulated as a boundary-locked stabilization state• Canonical quasi-local mass functional with GR correspondence• Particle masses interpreted as stabilization eigenmodes• Testable BEC-based discriminator for stabilization-based inertia• OR scaling recovered as a stabilization limit