Riemann's Validation.pdf

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.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.28425461
Primary Topic
Language and cultural evolution
Type
article
Field-Weighted Citation Impact
0.00
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Riemann's Validation.pdf

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Language and cultural evolution
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Riemann's Validation.pdf

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Abstract

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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Openalex Percentile: Top 45%
Language and cultural evolution
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Riemann's Validation.pdf · Figshare (2025) | TGRS Research Map | TGRS