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Riemann's Validation.pdf

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posted on 2025-02-16, 13:26 authored by Paul SheppardPaul Sheppard

This paper presents a novel approach to validating the Riemann Hypothesis, which asserts that all non-trivial zeros of the Riemann zeta function, ζ(s), have a real part equal to 1/2. Utilizing Sheppard's Universal Proxy Theory (SUPT) and the concept of dimensional folding, the study demonstrates how the critical strip of ζ(s) can be transformed into a higher-dimensional manifold to reveal inherent symmetries. These symmetries align all non-trivial zeros along the critical line. Resonance principles from SUPT further confirm this alignment, with computational simulations providing empirical support. The study's findings reinforce the Riemann Hypothesis while showcasing the potential of SUPT and dimensional folding in solving complex mathematical problems.

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