PFUSRC-100 The Misalignment of Topological Operations and the Ineliminability of Flow-Variable Fingerprints—Experimental Methodology and Boundary Demarcation in the PFUSRC System

This paper, the 100th in the PFUSRC series, establishes a unified methodological framework and boundary criteria for topological operations within the system, addressing three long-standing methodological defects in physical experimentation: target misalignment, conceptual confusion, and absolutist fallacies. Grounded in the preceding axioms of the PFUSRC system, this paper rigorously distinguishes between two fundamentally incompatible classes of topological operations: Goal-Oriented Operations (local boundary interventions) and Absolute Operations (global ideal-state locking). Goal-Oriented Operations are compatible with the self-organizing mechanisms of four-dimensional flow variables, enabling stable reproducibility and engineering applicability. Absolute Operations, constrained by ontological topological rules, are axiomatically impossible to fully achieve, though the process of asymptotic approach holds significant scientific value. This paper establishes two critical distinctions: Asymptotic Approach ≠ Complete Attainment, and Fingerprint Overwriting ≠ Fingerprint Elimination. Drawing on the topological definition of Passive Slices, it rigorously demonstrates that all artificial fabrication, field regulation, and phase-transition reconstruction processes necessarily solidify historical flow-variable fingerprints; new topological processes can only overwrite old traces, never eliminate the ontological fact that “historical flow-variation once existed”—the absolute ineliminability of flow-variable fingerprints. This paper ultimately completes the hierarchical demarcation of experimental science within the PFUSRC system: the legitimate paradigm of experimental science is to obtain controllable effects through local topological interventions, or to discover new topological phenomena through asymptotic approach; any research attempting to eliminate ground-state flow-variation, erase historical topology, or attain absolute static ideal states is methodologically misaligned.