Overview Within the framework of Origin Geometry (OG), effective spacetime is described as a discrete topological–geometric network rather than as a perfectly continuous manifold. Previous Parts developed the dual-sector architecture 2–6: H₄ ∪ φH₄ where the visible sector (H₄) and the phase-shifted sector (φH₄) coexist within a shared 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. Bidirectional Phase Tunneling and Phase-Stress Gradient Part 28 investigated black holes as phase-collapse regions: extreme-curvature regimes in which the effective phase separation between (H₄) and (φH₄) becomes strongly compressed 7–10. The present Part extends that result. If extreme curvature can weaken the phase barrier enough to allow leakage from (φH₄) into (H₄), then the reverse channel must also be considered. A black hole should therefore not be treated only as a one-way leakage source. In the dual-sector ontology of OG, it may also act as a bidirectional phase-tunneling interface. The central dynamical object introduced in this Part is the phase–stress gradient. This is not a new fundamental force. It is an effective geometric measure of how rapidly the phase-accessibility barrier changes across an extreme-curvature region. When the phase barrier is compressed, its effective width and height decrease, reducing the WKB action for cross-sector tunneling 7–9, 17. The resulting transition probabilities may increase by many orders of magnitude, although they need not become symmetric or equal to unity. Topological Cancellation and Trans-Sector Bulk Dynamo This Part then studies what may occur when visible-sector excitations are transferred into (φH₄). The transferred excitations do not enter an empty sector. They may encounter phase-conjugate topological defects already present in the phase-shifted network. When opposite winding structures overlap sufficiently, their local topological obstruction can partially cancel 19–25: w₊ + w₋ = 0 releasing configuration energy. Because boundary electromagnetic modes are strongly suppressed in (φH₄), the released energy is not expected to emerge dominantly as visible photons. Instead, the natural relaxation channel is into collective bulk stress modes of the underlying geometric network 26–30, 37. The combination of accretion, phase compression, bidirectional tunneling, topological cancellation, and bulk relaxation yields a phenomenological mechanism called a trans-sector bulk dynamo. In this mechanism, black holes are not only gravitational absorbers in the visible-sector description. They may also act as localized geometric engines that convert part of accreted boundary-sector energy into collective bulk excitations. Scope and Limitations The framework developed here is intentionally conservative. It does not claim that black holes are literal portals between separate universes. It does not claim that all matter falling into black holes transfers into (φH₄). It does not claim that the tunneling probabilities are 50-50, nor that gamma-ray bursts, positron excesses, antihelium events, core–cusp profiles, or high-frequency gravitational backgrounds are already explained 31–37. It only establishes a structured mechanism by which extreme-curvature environments may couple boundary-sector dynamics, dark-sector topology, and bulk energy relaxation within the dual-(H₄) geometry.
The Duy Tan Truong (Tue,) studied this question.