Scaling Laws

Scaling Laws are the relations showing how geometric scale, temporal resolution, computational capacity and energy requirements trade off against one another, in the book's use chiefly for the smallest, Zinf-limit configurations. The book uses scaling laws to connect conditions at a universe's formation with what it can later compute. The collapse density of a parent Null Well modulates the emergent Planck time through gravitational scaling laws; the resulting temporal resolution then sets the information processing capacity and complexity potential of the new cosmic domain, so emergent universes inherit their computational substrate from the density of the collapse that formed them. The Density-Encoded Emergence Relation is one such law, scaling Planck time by a function of collapse density. It connects to the Density-Encoded Emergence Relation, Collapse Density, Temporal Grain Size, Binary Resolution Baseline, Quantum Scaling Laws and Zinf-Limit Systems.