The Simulated Zero-Entropy Substrate: Mapping the Invariant in a Hierarchical Entropy-Processing Framework

The Simulated Zero-Entropy Substrate proposes that the observable universe may be modeled as a bounded entropy-processing arena embedded within a higher-order, lower-entropy substrate whose invariant structure constrains collapse, observer loss, and substrate-destroying transitions. Rather than treating the substrate as a vague metaphysical “outside,” the framework interprets it as a boundary-enforced invariant domain that projects lawful persistence into the internal arena. Using a hierarchical entropy-processing architecture, the paper formalizes relations among coherence, leak, gate structure, reset dynamics, observer continuity, and conservation behavior. It introduces a revised interpretation of the X11X^{11}X11 anchor as a substrate-relation coordinate rather than a conventional traversable dimension, and presents provisional predictions, simulation targets, and explicit failure modes. The result is a speculative but structured research framework intended to recast questions of low initial entropy, collapse-bounded observer persistence, and protected law-space in a unified systems grammar. Related work includes the Hyperverse framework, which provides the broader recursive and multi-scale context within which the zero-entropy substrate hypothesis is developed.