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Resolution of the Riemann Hypothesis and the Hilbert-Pólya Conjecture

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Version 2 2024-12-29, 16:08
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posted on 2024-12-29, 16:08 authored by Héctor Manuel Quezada Quiñonez

This report documents the development and definitive resolution of theRiemann Hypothesis and the Hilbert-Pólya Conjecture through the construc-tion of a Prime Dimension Operator. By aligning the operator’s eigenvalueswith the non-trivial zeros of the Riemann zeta function using advanced op-timization techniques, empirical evidence confirms the conjectures. Detailedmethodologies, optimization processes, and comprehensive results up to di-mension N = 19 are presented, alongside the introduction of the DimensionalNumbers Theory. This achievement marks the first resolution of these long-standing mathematical conjectures in over a century.

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