Part 24: Effective Dark Collapse, Radiation-Feedback Suppression, and Gravitational-Wave-Like Bulk Oscillations in Origin Geometry

Overview The existence of very massive compact objects at high redshift continues to motivate theoretical investigation into mechanisms capable of accelerating early gravitational growth [7–13]. In conventional baryonic accretion, growth is regulated by electromagnetic radiation feedback, commonly represented through Eddington-like constraints [4–6]. These constraints arise because radiation generated by accretion couples to infalling matter and produces an outward momentum flux opposing further collapse. Within the framework of Origin Geometry (OG), electromagnetic accessibility is not treated as universal. It depends on boundary-mode overlap, phase accessibility, topological pinning, transition availability, and effective coupling between photon-like modes and the relevant material sector. Previous Parts introduced a dual-sector geometry [1–3] represented schematically by: H4 ∪ φH4 in which the phase-shifted φH4 sector may remain electromagnetically suppressed while remaining gravitationally active through shared bulk geometry. Part 22 developed topological pinning and effective near-flat-band freezing as mechanisms of electromagnetic silence. Part 23 extended this picture by proposing scale-mismatch-enhanced pinning, boundary mass inflation, reduced support pressure, dark-sector compression, effective topological fusion, and bulk-mediated relaxation. Effective Dark Collapse and the Eddington Limit The present Part extends this sequence to gravitational collapse. We investigate whether a dark-sector regime with strongly suppressed photon production, photon scattering, and boundary-mode accessibility may experience substantially weaker radiation feedback than ordinary baryonic matter. In a coarse-grained description, the Eddington luminosity depends on the effective opacity κ. If dark-sector photon coupling is suppressed [4–6], one may write: κ_eff = ϵ_γ κ_baryon, with 0 < ϵ_γ ≪ 1 The corresponding effective Eddington scale becomes: L_eff_Edd = 4πGMc / κ_eff = (1 / ϵ_γ) L_baryon_Edd Thus, the Eddington constraint is not removed. Rather, its dynamical effectiveness may be weakened because the radiation field couples inefficiently to the infalling dark-sector medium. We call the resulting regime effective dark collapse: a gravitational-collapse regime in which electromagnetic feedback, radiative momentum transfer, and ordinary support channels are strongly reduced. Under such conditions, collapse may approach a near-free-fall regime more closely than in radiation-regulated baryonic systems, although the present work does not derive a quantitative collapse rate. Topological Thawing and Transparency As density and geometric stress increase, strongly pinned topological structures may undergo local topological thawing. This is not a global destruction of the pinned dark sector. It is a local, density-assisted reduction of effective Peierls–Nabarro-type barriers in highly compressed regions. Outer regions may remain near-flat-band frozen and electromagnetically suppressed, producing effective topological transparency: radiation generated in dense regions may couple weakly to the surrounding dark-sector medium and therefore exert reduced feedback on infalling material. Bulk-Mediated Relaxation The relaxation energy released during gravitational compression, topological restructuring, and configuration merging may not efficiently escape through photon-like channels. The present Part therefore proposes that a significant fraction of this energy may couple to collective bulk degrees of freedom of the underlying geometric substrate [3]. These bulk oscillations may propagate through shared geometry, transport energy, redistribute stress, and admit a coarse-grained gravitational-wave-like description. This terminology does not identify the proposed modes with gravitational waves in General Relativity. No waveform, polarization structure, detector response, or observational amplitude is derived here. Conclusion The central claim of this Part is conditional: if the φH4 sector suppresses electromagnetic accessibility while preserving bulk geometric response, then gravitational collapse may proceed under reduced radiation feedback, local topological thawing may provide dynamical reorganization channels, and relaxation energy may be redirected into collective bulk oscillations.