Emergent Gauge Interactions from Redistribution Dynamics in ψ₀–OCM

This paper develops a foundational gauge-recovery mechanism within ψ₀–OCM, the Osborne Cosmological Model, in which electromagnetic, weak, and strong interactions emerge as effective stabilized regimes of deeper boundary-mediated redistribution dynamics. Rather than treating gauge symmetry as primitive, the framework defines ψ₀ as a structured operator-geometric admissibility system and recovers U(1), SU(2), and SU(3) as automorphism structures of admissible redistribution sectors. Electromagnetism is interpreted as a long-range orientation-stabilized redistribution regime, the weak interaction as a finite-cost redistribution-reconfiguration regime, and the strong interaction as a closure-locked high-curvature regime producing confinement. The paper preserves Standard Model recovery in redistribution-locked regimes while providing a deeper mechanism beneath Maxwell, Yang–Mills, electroweak, Higgs, bottom-sector, and flavor-sensitive structures. It distinguishes what is minimally recovered, what is phenomenologically constrained, and what remains for follow-up representation-level reconstruction, including full hypercharge structure, fermion-generation derivation, chirality reconstruction, and complete anomaly-cancellation derivation. A central contribution is the constrained residual-surface methodology: finite redistribution stabilization predicts small, structured, covariance-linked residual deviations across electromagnetic, weak, strong, Higgs, bottom-sector, flavor, and CP-sensitive observables. The framework is therefore testable through high-Q scattering, confinement-sensitive observables, Higgs/electroweak precision channels, rare bottom decays, lepton-universality ratios, angular observables, radiative closure tests, and global covariance-aware model comparison. The work presents ψ₀–OCM as a mechanism-first recovery architecture for effective gauge interactions, with finite-stabilization phenomenology providing the empirical risk layer.