PFUSRC-156 The Hierarchical Distinction Between Categorical Logic and Ontological Logic — Why "Richer" Is Mistaken for "More Correct": From the Categorical Coverage of Relativity and Quantum Mechanics to the Ontological Tracing of PFUSRC

The mainstream historiography of modern physics frames Newtonian mechanics, relativity, and quantum mechanics as a progressive sequence of increasingly complete physical frameworks. This paper puts forward a core corrective argument: the expanded descriptive range of relativity and quantum mechanics only embodies categorical inclusiveness rather than intrinsic logical completeness, corresponding to categorical logic instead of ontological logic. Categorical logic centers on expanding applicable domains and boosting practical utility, merely providing strategic references for research rather than judgments on ontological truth; the long-standing academic bias of equating wider theoretical coverage with higher ontological accuracy constitutes a critical implicit logical flaw in physics development. Modern physics has slid into a logical vacuum after severing ties with foundational philosophical inquiry: it retains mathematical computing tools yet abandons the capacity to explore ontological essences, misidentifying mathematical self-consistency as ontological truth. Mathematics serves only as the structural skeleton of physical theories, while ontological logic acts as their core theoretical soul. Advancing physical research must first reconstruct rigorous ontological logic systems. This paper constructs the complete ontological logic system of the PFUSRC framework, whose core mission is ontological interpretation rather than categorical coverage—explaining why classical and modern mainstream theories remain valid within their respective applicable boundaries. Taking the morphing variable as the core research thread, combined with the four-dimensional spacetime equivalence axiom (PFUSRC-014) and macroscopic origami verification (PFUSRC-058), this paper constructs the demonstration path of ontological logic: discrete-point folding of a single plane generates exponential layered topological structures, and the speed of light arises inevitably from the rigid filling constraints of closed biconical topology. The explanatory power of ontological logic originates from topological folding mechanisms instead of the breadth of theoretical application categories.