Confined Curvature Bounce Theory: A Curvature-Triggered Nonsingular Black-Hole Model with Internal Support Deconfinement, AOS-Constrained PDE Evolution, and Rotating-Interior Stress Tests

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 v8 manuscript updates Confined Curvature Bounce Theory (CCBT) by consolidating the v7 covariant-matching formulation with later reduced PDE, AOS-style coefficient, and rotating-interior stress-test findings. It distinguishes internal support deconfinement from true covariant apparent-horizon disappearance, adds AOS-style coefficient constraints for the PDE front model, incorporates spherical PDE reruns with correlated AOS-style priors, and summarizes perturbative Kerr, reduced Kerr, and reduced axisymmetric PDE stress-test results. The manuscript remains a speculative effective framework, not established physics or a completed quantum-gravity derivation.