Black Hole Interiors and the Compute Horizon: Exploring Causal Saturation and Computational Geometry in the CU Model

This paper explores the internal structure of black holes through the lens of the Computed Universe (CU) model—a voxel-based framework where physical evolution is governed by causal update propagation and information saturation. Challenging the classical notion of singularities, the CU model introduces the concept of a <i>compute horizon</i>: a boundary defined not by infinite curvature but by causal saturation, where energy and update fanout reach the maximum density that the substrate can support.<br>Within this framework, the black hole interior becomes a computable, bounded region characterized by finite information density and irreducible causal structure. The paper derives saturation identities that align with known physical constants, resolves entropy bounds through surface-based voxel encoding, and offers explanations for black hole thermodynamics, horizon quantization, and the fate of infalling information. Observable implications, including deviations from classical collapse and information leakage mechanisms, are also discussed.<br>This CU-based reinterpretation reframes black holes as steady-state causal reservoirs—finite, computable, and topologically defined—bridging gravitational physics, information theory, and quantum geometry.