Axiomatic Emergence; Information Constraints and Physical Existence

This article proposes a hierarchical cosmological epistemological framework aimedat reinterpreting the status of information conservation and computability in physical theories. The framework repositions these two from being traditionally regarded as a priori fundamental axioms to being emergent properties underspecific conditions. Theoretical construction begins with a fundamental logical space driven solely by dynamic self-referentiality, without presupposing anyphysical constraints. Within this space, evolution paths that violate informationconservation and are uncomputable are logically possible. By introducing the perspective of logical dynamics, this article argues that computable patterns andmacroscopic information-conserving structures guaranteed by homotopyrigidity can spontaneously form as stable attractors from the open evolution ofthe fundamental space. These stable constraints are logically prior to and allowfor the emergence of complex subsystems (including observers). Therefore, thephysical universe we recognize, described by computable mathematical laws andconserving information, is not a logical necessity but rather the result of intrinsicstability selection within the logical evolution process. This framework providesa structural explanation for ”why mathematics works” and ”why the universe isorderly” that goes beyond traditional anthropic principles, and derives testablephysical predictions based on stability constraints, such as the dynamic evolutionof the cosmological constant and characteristic non-Gaussianity.