Hierarchical Self-Referential Reconstruction Cosmology B: The Emergent Properties of Information Conservation and Computability

This paper re-examines the axiomatic status of information conservation andcomputability in modern physics within the framework of Hierarchical Self-ReferentialCosmology. Through rigorous logical analysis, we argue that these two principlesare not a priori laws that are logically entailed by the underlying logic of thetheory—Infinite Self-Referential Reconstruction. Instead, they emerge as “effectiveconstraints” in specific universe branches through mechanisms of dynamic competition, pattern stabilization, and stability screening. The paper further proposes ahierarchical coherence view distinguishing between “dynamic self-consistency” and“effective self-consistency” to address doubts regarding the theory’s logical coherence. This consolidates the logical foundation of the theory within a broader logicalframework and provides a dynamical, intrinsically consistent explanation for theorigin of order in our universe.