Part 28: Black Holes as Phase-Collapse Regions in Dual–H₄ Geometry: Barrier Suppression, Cross-Sector Dynamics, and Effective Resolution of Singular Behavior

Within the framework of Origin Geometry (OG), spacetime is described as a discrete geometric network consisting of a visible sector H₄ and an orthogonal sector φH₄ separated by an effective topological barrier that regulates phase accessibility between the two sectors. Previous works investigated electromagnetic suppression across sectors, WKB tunneling near regions of extreme curvature, positron leakage, and bulk gravitational-wave-like excitations. In the present work, we investigate the possibility that black holes may act as effective phase-collapse regions in which both the width and height of the topological barrier become strongly suppressed under conditions of extreme curvature. Within this regime, inter-sector tunneling probabilities may increase substantially, dark-sector excitations may couple more efficiently to the visible sector, and large-scale topological restructuring processes may emerge. This framework leads to several phenomenological consequences, including antimatter leakage near event horizons, energy relaxation through bulk modes, extremely energetic transient events, and a possible mechanism for reducing dark-matter density cusps within galactic centers. The present framework does not identify these mechanisms directly with conventional gamma-ray bursts or standard gravitational waves in General Relativity. Instead, it investigates them as effective dynamical consequences of a dual-sector geometric network operating in regimes of extreme curvature.