A Complete and Rigorous Proof of the Riemann Conjecture Based on HigherDimensional Topological Dynamics (Civil Version)

Abstract For the century-old unsolved Riemann Hypothesis (RH), this paperbreaks the traditional static research paradigm of analytic number theory that relies on complex-plane integral estimation, residue analysis and numerical verification. Taking the compact Ricci-flat 3- dimensional Calabi-Yau (CY₃) manifold as the geometric basis and relying on the original Shui vortex field dynamic theory, this paper constructs a unified theoretical framework with one to-one correspondence among higher-dimensional topological evolution, prime number distribution rhythm and topological configuration of non-trivial zeros of the ζ-function. Through the rigorous establishment ofthe creation axis symmetry axiom, the energy convergence criterion of the Shui vortex field and the constraint condition of the Shui critical topological band, this paper completes a global unconditional closed-loop proof: all 1 non-trivial zeros of the Riemann ζ-function satisfy ℜ(ρ) = 2 . With no empirical assumptions, no numerical approximation truncation and no unproven prepositional propositions, this paper for the first time interprets and strictly proves the Riemann Hypothesis from the perspective of higher-dimensional geometric dynamic essential completeness, and reconstructs the underlying research paradigm and theoretical system of analytic number theory