Part 25: Antimatter Leakage in Dual–H₄ Geometry: Black-Hole-Mediated Tunneling, Mass-Asymmetric Filtering, and Cosmic-Ray Signatures

Within the framework of Origin Geometry (OG), dark matter is not necessarily interpreted as an independent particle component. Instead, it may be understood as an effective phase of matter emerging from topologically pinned structures residing in the sector φH₄. This interpretation remains geometric and phenomenological in nature and does not yet constitute a complete microscopic theory of dark matter. Previous works established that the two sectors H₄ and φH₄ are separated by a topological phase barrier. This barrier effectively suppresses electromagnetic interactions while preserving communication through collective bulk modes of the underlying geometric substrate. In the present work, we propose that antimatter may not have disappeared from the universe but instead underwent effective topological phase separation and became localized within the φH₄ sector. We further investigate the possibility that black holes act as regions where the phase barrier becomes effectively weakened due to extreme geometric stress and curvature. Under such conditions, quantum tunneling between the two sectors may become possible. The resulting mechanism naturally generates a mass-dependent filtering effect. Light particles such as positrons may exhibit appreciable tunneling probabilities, whereas heavier particles such as antiprotons remain exponentially suppressed. A possible phenomenological consequence of this mechanism is the appearance of secondary high-energy signatures, including positron excesses, Galactic-center gamma emission, anomalous antiproton spectra, and rare antihelium events. The present work does not establish direct quantitative correspondence with specific observations. Instead, it proposes a geometric interpretation connecting dark matter, matter–antimatter asymmetry, and leakage phenomena occurring near regions of extreme geometric curvature without requiring additional fundamental particle species.