Part 26: Quantitative Signatures of Antimatter Leakage in Dual–H₄ Geometry: WKB Mass Filtering, Positron Excess, the 511 keV Line, and Cosmic-Ray Spectra

Within the framework of Origin Geometry (OG), the Dual–H₄ structure gives rise to two phase-shifted geometric sectors: the visible sector H₄ and the orthogonal sector φH₄. These sectors are separated by an effective topological barrier that strongly suppresses direct electromagnetic interactions in the linear regime while preserving communication through collective bulk modes of the geometric substrate. In regions of extreme curvature, particularly near black holes, the effective width of the topological barrier may become substantially compressed. Under such conditions, excitations trapped within φH₄ may tunnel into the visible sector through a WKB-like mechanism. Because tunneling probability depends exponentially upon effective mass, the process naturally acts as a geometric mass filter. Light excitations, especially positron-like modes, may therefore exhibit substantially higher leakage probabilities than heavier antiproton-like modes. The present work develops an order-of-magnitude quantitative description of this mechanism. We show that WKB mass filtering may generate three characteristic observational signatures: high-energy positron excesses, strong suppression of antiproton fluxes, and 511 keV gamma-ray emission concentrated around the Galactic Center through positron annihilation in baryonic environments. The framework does not claim a complete fit to AMS-02 or SPI/INTEGRAL observations. Instead, it proposes a geometric mechanism possessing a well-defined quantitative structure capable of generating signals of similar type and comparable order of magnitude to several observed cosmic-ray anomalies.