Confined Curvature Bounce Theory: A Curvature-Triggered Nonsingular Black-Hole Model with Internal Support Deconfinement, Parent Effective Dynamics, and Mesoscopic Holonomy-Domain Closure

This manuscript introduces Confined Curvature Bounce Theory (CCBT), a speculative covariant effective model for nonsingular black-hole interiors and possible cosmological coupling. The theory proposes that when an invariant curvature threshold is reached, a confined curvature-bounce phase replaces the classical singularity, producing an internal support-scale expansion without requiring white-hole ejection. The model distinguishes the external apparent-horizon radius from the internal proper support length, introduces a hierarchy L₁ ≃ L₂ < L₃ <. . . < Lₙ << L₍+₁, and explores how the resulting active curvature sector could behave as an effective negative-pressure component after cosmological coarse-graining. The paper is presented as a theoretical hypothesis and effective-model framework, not as established physics or as a complete derivation from a confirmed theory of quantum gravity. This v9 manuscript consolidates the v8 PDE/AOS/Kerr formulation of Confined Curvature Bounce Theory with later companion work on a parent effective action and boundary Hamiltonian, discrete AOS/Modesto-style holonomy-cell Hamiltonians, canonical perturbation spectral kernels, boundary-derived matching dynamics, fully derived-coefficient PDE reruns, inhomogeneous loop-interior coefficient tests, and mesoscopic holonomy-domain formation. The v9 conclusion is that literal micro-cell diffusion is not sufficient for the relaxed-matching or cosmological branch. The robust local claim remains nonsingular internal support deconfinement. True exterior apparent-horizon disappearance and dark-energy normalization remain narrow conditional extensions requiring mesoscopic holonomy-domain formation, adequate spectral mobility, boundary ADM projection, and mild relaxed matching.