Completing the Riemann Hypothesis: A 3D Geometric Framework for Quantized Zero Distribution
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| Natura: | Recurso digital |
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Zenodo
2025
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| _version_ | 1866901805076578304 |
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| author | Bolter Ndlovu Associates Research Programs (Pty) Ltd |
| author_facet | Bolter Ndlovu Associates Research Programs (Pty) Ltd |
| contents | <p>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.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16779443 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Completing the Riemann Hypothesis: A 3D Geometric Framework for Quantized Zero Distribution Bolter Ndlovu Associates Research Programs (Pty) Ltd <p>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.</p> |
| title | Completing the Riemann Hypothesis: A 3D Geometric Framework for Quantized Zero Distribution |
| url | https://doi.org/10.5281/zenodo.16779443 |