The Geometric Duality of the Riemann Zeros: Orthogonal Preservation versus Reflective Annihilation of the Semicircle

Based on the mathematical equations and the three-dimensional spatial geometric surface developed within the framework of Planar Complex Analysis, the appearance of the Riemann zeros on two completely separate axes (the trivial zeros on the negative real axis, and the non-trivial zeros vertically on the critical line) is not a computational coincidence. It is the direct geometric consequence of the nature of “rotation and reflection” in dual-perspective space.