Asymptotic Temporal Confinement: Spacetime Inversion and Infinite Proper Time in Regular Black Hole Interiors

This paper addresses the black hole information paradox through a purely geometric lens. It explores the internal spacetime inversion where the radial coordinate becomes timelike, treating the center not as a point in space, but as a boundary in time. Core Mechanism By applying the Regular Core Condition (RCC) to non-singular metrics, the study proves the existence of Asymptotic Temporal Confinement (ATC). This mechanism ensures that for any infalling matter, the proper time to reach the center diverges to infinity. Key Impact Unitarity: Since the time to reach the core is infinite and the Hawking evaporation time is finite, information never reaches a point of destruction. Resolution: Information is "quarantined" within the temporal evolution of the interior and remains preserved, satisfying global unitarity without requiring non-local physics or "firewalls." Universality: The proof holds for all major regular metrics, including rotating (Kerr-like) systems.