Entropy Collapse, Information Saturation, and Baby-Universe Genesis: A Detailed Mathematical Model

This 12-page research paper establishes a formal mathematical pathway from black-hole evaporation to the formation of causally disconnected baby universes. The model synthesizes classical general relativity, the Page curve of quantum information, and a critical-density mass relation known as the "Anas Limit" (M_Anas ≈ 8.13 solar masses). Key Scientific Components:1. Information-Saturation Criterion: Deriving explicit criteria for a "bounce" driven by the saturation of information density within the black hole interior.2. Modified TOV System: Introducing an effective quantum-pressure correction (PQ) to the Tolman-Oppenheimer-Volkoff (TOV) equations to model hypermassive core dynamics.3. Israel-Junction Throat Formation: A geometric description of the creation of a stable Einstein-Rosen bridge during the collapse-to-genesis transition.4. VIFT Integration: Interpreting the event through the lens of the Vibrational Information Field Theory, where observation is treated as a disturbance in a universal information field.5. Numerical Estimates: Providing order-of-magnitude estimates for astrophysical parameters and describing primordial gravitational wave signatures. This work serves as the analytical foundation for high-resolution numerical relativity simulations and provides a novel resolution to the black hole information paradox.