A Structural State-Space Reformulation of the Black Hole Interior

This work presents a rigorous, non-geometric structural framework to address the question of what exists beyond the event horizon of a black hole. The approach is formulated exclusively within established mathematical and physical frameworks, including classical general relativity, non-invertible dynamical systems, causal structure, wave theory, and standard notions of information and irreversibility. No new physical theory, hidden dynamics, or causal accessibility from the interior is postulated. The main result establishes that beyond the event horizon there is no classically accessible region or future-directed dynamics, but rather a compact structural region of the system’s state space, finite in a structural sense and fully determined by the irreversible history of gravitational collapse. This formulation reframes the black hole interior as a constrained, closed set in state space rather than as a geometric or dynamical domain, remaining fully consistent with general relativity and causal closure.