PFUSRC‑175: Discrete Verification of Topological Fissures in Square‑Cubic Power Coupling within the 55 Observational Grid

Abstract

Grounded in the closed boundary of the 55 projection observational grid of the PFUSRC framework, this paper takes the square and cubic powers as respectively corresponding to the two fundamental topological behaviors of ontological radial latching and tangential triple closed‑loop revolution, and carries out a system self‑consistency verification through Diophantine numerical enumeration. The prime number 2 represents the counter‑rotational bisection structure of ontological self‑coupling; the prime number 3 introduces a latent temporal dynamic variable, constructing a bottom‑layer four‑dimensional flow‑variable ontology, distinct from the static three‑dimensional spatial assumption of traditional physics. The number ontology of ontological mathematics: numbers are numerical projection markers of topological nodes. The study distinguishes algebraic solutions from ontologically effective topological fissure overflow: within the 55 numerical boundary, heterogeneous primitive interactions produce ontologically meaningful effective residuals of 1 and 2; residual 3 is a forbidden slot — if a heterogeneous‑primitive solution were to appear, the steady state of the triple coaxial 45° bicone would collapse; other algebraically computable differences belong to internal ontological perturbations, whose topological components undergo shunting degradation or are absorbed by closed loops, and do not output independent effective fissure residuals to the projection layer. This paper further explains the topological basis for the bottom‑layer verification employing only the second and third powers, and not the fourth or higher powers as core verification channels: higher powers are derivative products of iterative composition of bottom‑layer primitives, and do not represent native ontological degrees of freedom. This set of numerical experiments constitutes a self‑consistency verification within a finite grid, capable of falsification but not equivalent to a rigorous mathematical proof of the ontological topology; beyond the 55 boundary, this set of square‑cubic coupling rules no longer applies.