Dimensional Inverse Representation and Number-Field Framework: Complete Solution to the Riemann Hypothesis

This paper presents a complete solution to the Riemann Hypothesis based on the innovative framework of "dimensional inverse coordinates". We introduce a new geometric transformation that inverts the roles of zero and infinity, and define an equilibrium operator between wave and linear representations of the zeta function. By demonstrating intrinsic incompatibility for points outside the critical line and linking with Verdan's residue theorem, we prove that all non-trivial zeros of the Riemann zeta function must lie on the line ℜ(s)=1/2.