Completing the Riemann Hypothesis: A 3D Geometric Framework for Quantized Zero Distribution
Year: 2025
Type: article
Abstract: 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.
Author: Bolter Ndlovu Associates Research Programs (Pty) Ltd
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893378443
FWCI:
Cites:
Cited by:
Related to: