The Role of 48 in Curvature Quantization Across GR, QM, and the Computed Universe

This paper introduces the constant <b>48</b> as a fundamental geometric scalar in the curvature-energy domain when physical laws are recast using Planck-normalized, voxel-based frameworks. In contrast to the well-known constants c^2 and h_bar, which relate to energy propagation through space and time, the constant 48 arises uniquely within the curvature domain—specifically as a quantization factor in energy expressions governed by geometric dilution in curved spacetime.<br>Working within the <b>Computed Universe (CU) model</b>, the paper presents a unified identity linking <b>mass, frequency, and curvature</b> through Planck unit ratios. The constant 48 emerges naturally from the fanout of causal updates across discrete surface areas, representing a structural limit on curvature propagation. This establishes a triad of constants—c^2, h_bar, and 48—that define energy contributions across volume, time, and surface curvature respectively.<br>A formal <b>CU Energy Propagation Theorem</b> is presented, and example calculations confirm consistency with known physical systems. The paper closes by positioning 48 as a previously unrecognized but potentially fundamental constant, with implications for gravitational saturation, curvature cutoff thresholds, and quantum gravity unification.