PFUSRC-097 The Unified Origin of the \pi_{1} Dynamic Rhythm Constant and the Dynamic Planck Constant—The Collapse of the Static Physics Paradigm and the Topological Closure of a Dynamic Cosmos

The foundational framework of classical and modern quantum physics rests on the core assumption that fundamental physical constants are globally static and invariant. The static π and the static Planck constant h are regarded as the fixed underlying yardsticks of the cosmos, forming the bedrock of the three-hundred-year-old static universe paradigm. This paradigm directly prevents the self-consistent unification of quantum mechanics and general relativity, producing a series of irremediable theoretical flaws: singularity divergences, renormalization difficulties in quantum field theory, deviations in early-universe spectral lines, and the muon g-2 anomaly. These are the core logical fractures of the mainstream physical system. Based on the PFUSRC 11-dimensional triple coaxial biconical topological system, the unified expansion formula of four-dimensional flow variables, and the biconical convergence-expansion steady-state theorem, this paper accomplishes two core paradigm restructurings. First, it strictly distinguishes the three-layer structure of π: pure mathematical abstract π, 3D physical static slice π, and 11D topological dynamic \pi_{1}, proving that classical π is merely a frozen special case of low-curvature steady-state spacetime, while \pi_{1} is the true dynamic rhythm base governing interlayer phase evolution and biconical topological deformation. Second, it derives and proves that the Planck constant is not a global absolute constant, but a locally dynamic derived quantity — h_{eff} — jointly determined by the \pi_{1} topological rhythm, spacetime curvature, and the latching density of four-dimensional flow variables. This paper simultaneously establishes the cosmic time-evolution law of \pi_{1}, the coupled mechanism of the dynamic uncertainty principle, and the local steady-state shielding mechanism, completing the fourfold homogeneous unification of biconical topology, flow-variable rheology, the \pi_{1} cosmic rhythm, and the h_{eff} quantum scale. It shatters the final barrier of static physics, terminates the static-constant-dominated cosmic cognitive paradigm, and establishes a fully self-consistent closed-loop system of a dynamic topological cosmos, providing complete ontological and mathematical support for unifying quantum effects, spacetime gravity, cosmic evolution, and microscopic anomalies.