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: P_i ~ exp [ -(2/ħ) ∫ √( 2m_eff (V_phase(x) - E_i) ) dx ] The key structural consequence is mass-asymmetric filtering. Because the tunneling exponent scales with √(m_eff), 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.