Overview Within the framework of Origin Geometry (OG), effective spacetime is interpreted as a discrete topological–geometric network rather than as a perfectly continuous manifold. Previous Parts developed a dual-sector structure 1–7: H₄ ∪ φH₄ in which the visible (H₄) sector and the phase-shifted (φH₄) sector coexist within a common bulk substrate while remaining strongly misaligned at the level of boundary-supported modes. This phase misalignment produces an effective topological barrier that suppresses ordinary electromagnetic and particle-like communication between sectors under low-curvature conditions. Parts 25–27 developed the possibility that this phase barrier may be weakened in extreme-curvature environments 5–7, 13, allowing rare WKB-like inter-sector leakage while preserving overall dark-sector stability. Black Holes as Phase-Collapse Regions The present Part investigates black holes as candidate phase-collapse regions 8–12, 22 of the dual-(H₄) network. In this interpretation, a black hole is not treated merely as a terminal point of infinite density, but as an extreme nonlinear regime in which the effective phase barrier between (H₄) and (φH₄) becomes strongly compressed. The framework does not require that the tunneling probability universally reaches unity. Instead, it investigates regimes in which barrier height, barrier width, and phase mismatch are sufficiently reduced that inter-sector coupling becomes dynamically significant. This phase-collapse interpretation provides an effective alternative to the continuum singularity picture. Rather than producing an infinitely localized static singular point, extreme collapse is proposed to generate a finite but highly nonlinear mixed topological core. This core contains residual visible-sector excitations, dark-sector excitations, unresolved phase-conjugate structures, and bulk stress modes. Phase-opposed configurations may undergo asymptotic topological cancellation, releasing configuration energy into collective bulk modes while leaving part of the system in dynamically trapped or unresolved states. The result is a continuously restructuring phase-collapse region rather than a pointlike infinity. Phenomenological Consequences The Part further investigates several phenomenological consequences of this structure: Enhanced positron leakage Suppression of heavy antimatter through WKB mass filtering 5, 6, 14, 25, 26 Possible internal dark-sector radiation-like excitations Nonlinear barrier feedback Energetic transient behavior High-energy antimatter acceleration Core–cusp relaxation High-frequency bulk gravitational-wave-like stress modes 3, 4, 19–21, 31 These are not presented as completed observational identifications. In particular, the framework does not claim to explain gamma-ray bursts as a whole, does not predict efficient antihelium production, and does not identify bulk stress modes directly with standard gravitational waves of General Relativity. Conclusion The purpose of Part 28 is therefore structural. It extends the dark-sector sequence of OG into the black-hole regime by proposing that compact objects may act as phase-collapse regions where topological barrier suppression, cross-sector leakage, mixed-core restructuring, and bulk energy relaxation become dynamically linked.
The Duy Tan Truong (Tue,) studied this question.