Completing the Riemann Hypothesis: A 3D Geometric Framework for Quantized Zero Distribution

This paper presents evidence that the Riemann Hypothesis, as traditionally formulated, is mathematically incomplete. Through empirical analysis of prime distribution patterns and 3D geometric modeling, we demonstrate that Riemann's non-trivial zeros cannot be fully characterized by the 2D critical line constraint Re(s) = ½. Instead, we propose that zeros occupy discrete, phase-locked positions on a quantized double helix structure that directly corresponds to the angular transition patterns observed in prime generation. This framework transforms the Riemann Hypothesis from an infinite search problem into a finite geometric mapping, providing both theoretical completion and computational tractability.