PFUSRC-074 Topological Resistance Under Extreme Conditions-From Quantum Criticality to the Structural Hardness Limit of Compact Stars

Based on the fundamental constraint of the incompressible ground-state activity of four-dimensional flow variables proposed by the PFUSRC unified theoretical system, this paper systematically analyzes the topological dynamic responses under three categories of extreme physical constraints: quantum critical fluctuation amplification near absolute zero, thermal stress structural failure under rigid boundary locking, and lattice topological phase transitions inside compact star cores. It is proven that the above three types of observational phenomena share a unified underlying topological mechanism: when external forces compress, freeze or latch flow variables to the structural hardness limits, the system spontaneously generates topological resistance to sustain the minimum existential activity of flow variables. This study constructs a standardized classification model named the Three-State Resistance Spectrum of Flow Variables, which integrates low-temperature volumetric expansion, thermal shock structural collapse and compact star lattice unlocking phase transitions into a cross-scale unified topological dynamics framework. Three falsifiable quantitative observational predictions are put forward, with corresponding verification schemes matching existing astronomical and laboratory observation facilities. This framework realizes the first cross-scale unified interpretation of condensed matter low-temperature physics, engineering thermodynamics and compact celestial body astrophysics under a single four-dimensional flow variable topological ontology.