This paper takes the four-dimensional flow variable as the sole foundational ontological substrate, and selects fingerprint-like compact residual topological structures and globally constrained homogeneous vacuum as the two limiting phases of cosmic topological morphology, thereby completing an integrated narrative of the core conclusions of the entire PFUSRC system. It is rigorously proven that fingerprint structures and vacuum are not two independent objective realities, but two ontological phases of the same four-dimensional flow variable projected into three-dimensional space-namely, the latent state (fingerprint compact structures) and the flowing state (vacuum dynamic medium). The overall evolutionary process of the cosmos is equivalent to the continuous cycling, stratified distribution, topological latching, and phase unlocking of the four-dimensional flow variable between these two phases. This paper redefines the ontological connotations of one- to four-dimensional topological entities, and clarifies the dependency relationship between macroscopic material states and microscopic residual topological structures. Relying on the system’s inherent quantitative anchoring tools-the 12/11 topological gauge ratio and the 55 steady-state datum points-it establishes a unified topological narrative framework covering all scales, from microscopic particles to conventional condensed matter astrophysical objects to supermassive black holes. The paper introduces no new axioms, constants, or independent equations; all theoretical conclusions are inherited from preceding PFUSRC papers, including PFUSRC-00, PFUSRC-002, PFUSRC-014, PFUSRC-066, PFUSRC-067, PFUSRC-068, PFUSRC-069, and PFUSRC-071.
Zhenmin Wang (Sat,) studied this question.
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