Part 25: Antimatter Leakage in Dual–H4 Geometry: Topological Phase Separation, Extreme-Curvature Tunneling, Mass-Asymmetric Filtering, and Cosmic-Ray Signatures

Overview Within the framework of Origin Geometry (OG), dark-sector phenomenology is not necessarily interpreted as evidence for a separate population of unknown particles. Previous Parts developed a dual-sector geometric architecture 1–4, represented schematically by: H₄ ∪ φH₄ in which the visible (H₄) sector and the phase-shifted (φH₄) sector coexist within a shared geometric substrate while remaining strongly misaligned at the level of boundary-supported modes. Part 21 interpreted dark matter phenomenology as hidden geometric stress. Part 22 proposed topological pinning and near-flat-band dynamical freezing as mechanisms of electromagnetic silence. Part 23 introduced dark-sector compression and bulk-mediated relaxation. Part 24 extended this sequence to effective dark collapse under reduced radiation feedback. Topological Sequestration of Antimatter The present Part investigates a candidate extension of this sequence: antimatter-like excitations may have become topologically sequestered within the (φH₄) sector during early-universe phase organization 1–3, 5–7. In this interpretation, the observed matter dominance of the visible sector is not treated as direct proof that all antimatter was destroyed. Rather, a component of antimatter-like structure may have become geometrically isolated behind a topological phase barrier separating the two sectors. The present Part does not replace baryogenesis or derive the observed baryon-to-photon ratio; it only proposes a possible geometric sequestration channel for antimatter-like excitations 21, 22. If matter-like and antimatter-like boundary modes occupy distinct phase sectors after dual-sector separation, then antimatter-like excitations may remain hidden, electromagnetically inaccessible, and dynamically pinned in the (φH₄) sector. Extreme Curvature and WKB-Like Tunneling Leakage The Part further proposes that extreme-curvature environments, especially black-hole or near-black-hole regions, may locally reduce the effective height and width of the inter-sector phase barrier. In such environments, a small leakage channel may become possible through a WKB-like tunneling mechanism. The WKB expression is used here only as a semiclassical scaling model for barrier sensitivity, not as a microscopic derivation of the full dual-sector transition amplitude 23. For an excitation species i, the effective tunneling probability may be schematically represented as: Pᵢ ~ exp - (2/ħ) ∫ √ (2mₑff (Vₚhase (x) - Eᵢ) ) dx The key structural consequence is mass-asymmetric filtering. Because the tunneling exponent scales with √ (mₑff), heavy antiproton-like modes are expected to be exponentially suppressed relative to positron-like modes 18, 23, 25. Positron-like leakage into dense baryonic environments may contribute to 511 keV annihilation signatures, although the present Part does not derive the observed Galactic morphology 26, 27. Leakage into polar or magnetically collimated regions may allow positron-like modes to be accelerated into high-energy cosmic rays. The leakage mechanism may contribute to positron-dominated cosmic-ray signatures, but it does not exclude pulsars or other conventional astrophysical sources 24, 28. Scope and Limitations Heavy antimatter leakage is expected to be exponentially suppressed, producing no large primary antiproton excess 25. Rare antihelium-like events, if present, would represent an extreme low-probability secondary signature rather than a central prediction. The framework remains phenomenological. It does not calculate absolute fluxes, fit AMS-02 data, derive a 511 keV morphology, compute antihelium formation rates, or replace pulsar and conventional astrophysical explanations 28. Its purpose is to establish a controlled geometric pathway through which hidden antimatter-like excitations may remain sequestered over cosmological time while leaking weakly in extreme-curvature environments.