Black Holes, Information, and Cosmological Emergence in ψ₀–OCM: Active Horizons, Redistribution Routing, and Stabilized Interior Cosmology

This monograph develops the black-hole sector of ψ₀–OCM, the Osborne Cosmological Model, as a unified boundary-first treatment of black-hole physics, information retention, singularity replacement, routed emergence, and cosmological structure formation. The central novelty is the reformulation of black holes as active horizon-bound redistribution nodes rather than terminal singularities or merely passive causal regions. Within this framework, the event horizon is treated as an active accessibility and realization interface. Exterior observers access only horizon-filtered projections of the full redistribution state, while the underlying information record is retained globally within the ψ₀ configuration. The classical singularity is replaced by terminal detachment and reintegration, expressed through the transition PDS_T → ψ₀, removing the need to treat infinite-density singularities as physically realized endpoints. The paper retains the standard exterior black-hole limit while extending the interior and post-terminal regimes through ψ₀ redistribution, PDS-state stabilization, boundary filtering, admissibility conditions, and constrained black-hole-to-white-hole routing dynamics. Effective white-hole behaviour is treated not as an unconstrained speculative endpoint but as routed redistribution output governed by admissible channels, unresolved routing sectors, entropy balance, and cross-channel consistency. A major contribution of the monograph is its integration of black-hole interiors, horizon thermodynamics, information accessibility, singularity replacement, white-hole emergence, and stabilized interior cosmological domains into one common phenomenological architecture. This allows the framework to compare against general relativity, semiclassical gravity, Planck-star models, black-hole cosmology, modified gravity, and observational residual channels including ringdown, shadows, accretion, polarization, gravitational-wave phase shifts, orphan-burst statistics, and cosmological routing signatures. The work proposes that black-hole cosmology requires a physically specified transfer mechanism: if black holes generate further cosmological structure, then energy, information, entropy, causal structure, and effective parameters must be related across the transition. ψ₀–OCM supplies this missing intermediary through redistribution-node dynamics. In this sense, the monograph presents black holes not as isolated endpoints, but as active boundary structures connecting collapse, information retention, terminal reintegration, routed emergence, and possible cosmological stabilization within a single testable residual framework. Version 1.1 update: This revision updates Sections 17 and 23. It adds a consolidated black-hole architecture table clarifying the classification of horizon-stabilized, deep-detachment, unbound-routing, unresolved, output, radiation, correlation, observer-access, and terminal-detachment regimes. It also expands the treatment of extremal and near-extremal black-hole cases, specifying how charge, angular momentum, horizon saturation, limiting stabilization, and endpoint behaviour are interpreted within ψ₀–OCM.