Cosmology from Two Axioms 1: Logical Unification of Information Potential Difference Driven Structure Evolution and Infinite Self-Referential Reconstruction

This paper constructs a self-consistent cosmological theoretical framework basedon two minimal axioms—information conservation and ontological computability.The framework demonstrates that “information potential difference driven structure evolution” and “infinite self-referential reconstruction” are two equivalent formulations of the same dynamical process: the former provides the directional gradient for evolution, while the latter provides the mechanism for sustained evolution.Through rigorous mathematical derivation, this paper shows that under the constraints of information conservation and computability, the evolution of a closedsystem inevitably leads to a partially ordered structure with monotonically increasing semantic complexity, thereby intrinsically giving rise to the arrow of time.Furthermore, through a finite set of mapping postulates, this paper bridges thisabstract framework with general relativity and quantum field theory, and derivesthree quantitatively testable cosmological predictions: a specific time delay forblack hole Hawking evaporation echoes (κ ≈ 1.5), local-type non-Gaussianity inthe cosmic microwave background radiation (fNL ≈ −3.2), and the unification ratio of the Standard Model gauge coupling constants (α−11 :α−12 :α−13 =60:30:9).These predictions are all compatible with the highest-precision observational datacurrently available and provide clear testing pathways for next-generation astronomical observations.