The Information Content of Curved Spacetime: Compression, Curvature, and Computation in the CU Model

This paper presents a formal exploration of information in the context of the Computed Universe (CU) model, framing reality as a discrete, voxel-based computational structure. It examines the physical interpretation of information as both a conserved and quantifiable entity, tied directly to causal update mechanics and Planck-scale units. The work develops precise mathematical identities linking energy, mass, and action to information density, with derivations rooted in CU principles. It also compares these results to existing physical theories, including thermodynamic entropy, quantum information, and general relativity, showing how the CU model unifies these concepts through a single mechanistic framework. The paper concludes with implications for the limits of computation in physical systems, the role of information in gravitational and quantum phenomena, and pathways for empirical validation.