Hierarchical Self-Referential Reconstruction Cosmology I: The Emergent Origin of Computability and Information Conservation

This paper proposes and systematically elaborates a novel theoretical frameworknamed ”Hierarchical Self-Referential Reconstruction Cosmology”. The core thesis ofthis framework is: the regularities exhibited by the observable universe—includingthe computability of physical processes, the effective conservation of information,and the precise mathematical formulation of physical laws—are not the most fundamental, pre-given axioms of the cosmos, but rather secondary properties thatemerge from a more basic logical space driven solely by ”infinite self-referential reconstruction”, after being filtered by ”homotopic constraints” and ”computabilityconstraints”. The article constructs a clear three-tier structure: the bottom tier isthe infinitely self-referential, dynamically reconstructing logical space; the middletier consists of stable cosmological branches selected through constraint filtering;the top tier comprises the specific physical theories (such as General Relativityand Quantum Field Theory) that emerge in the macroscopic continuum limit ofthese branches. By establishing a systematic mapping theory from the underlyingmathematical structure to observable cosmological imprints, this framework derivesa series of rigid-parameter, testable cosmological predictions, such as characteristic oscillations in the primordial gravitational wave spectrum, precise values fornon-Gaussianity in the Cosmic Microwave Background radiation, and the powerlaw evolution of the cosmological constant, thereby transforming these profoundphilosophical questions into scientific propositions testable by next-generation astronomical observations