PFUSRC-131E Topological Positioning of String Theory and M-Theory: Two Valid Observations Beyond the Minimum Complete Solid Structure

Abstract

String theory and M-theory are two mathematically rigorous mainstream theoretical physics frameworks, yet they lack clear hierarchical positioning within cosmic topological ontology. Neither theory contains fundamental computational errors; their core defect lies in misattributing transitional projection phenomena to fundamental cosmic ontology. Based on PFUSRC seven-layer holographic ontological hierarchy, this paper completes precise topological localization for both theories. String theory depicts local oscillating modes of four-dimensional flow variables at ultra-micro scales below proton/nucleus threshold, belonging to the unconsolidated transitional zone between 4D mother universe and 3D solid projection layer. Its mathematical description matches real flow behaviors but misinterprets transitional vibration as the fundamental building block of the cosmos. M-theory captures the large-scale smooth geometric feature of the biconical lower cone inner wall, which is merely a 3D projection of the convergence interface; it wrongly regards projected membrane structures as independent primitive entities. This paper clarifies the critical distinction between PFUSRC native 11D topological space and artificial 11D spacetime in M-theory, explains why both frameworks achieve consistent numerical results while holding flawed ontological premises, and defines their fixed research intervals within the unified PFUSRC topological system. As a sub-document of PFUSRC-131 application framework, this paper focuses on hierarchical classification of external physical theories rather than quantitative numerical computation.