Preprint Article Version 3 This version is not peer-reviewed

Six Dimensions for Proof of Riemann Hypothesis

Version 1 : Received: 21 August 2024 / Approved: 22 August 2024 / Online: 22 August 2024 (08:25:04 CEST)
Version 2 : Received: 23 August 2024 / Approved: 23 August 2024 / Online: 26 August 2024 (03:01:23 CEST)
Version 3 : Received: 28 August 2024 / Approved: 28 August 2024 / Online: 28 August 2024 (10:51:12 CEST)

How to cite: mousavi, S. K. Six Dimensions for Proof of Riemann Hypothesis. Preprints 2024, 2024081612. https://doi.org/10.20944/preprints202408.1612.v3 mousavi, S. K. Six Dimensions for Proof of Riemann Hypothesis. Preprints 2024, 2024081612. https://doi.org/10.20944/preprints202408.1612.v3

Abstract

This paper presents proof of Riemann's hypothesis by utilizing the golden ratio and the ellipse's eccentricity in six dimensions. This proof extends across all scientific fields. this research introduces logical and mathematical principles for distributing, recognizing, and categorizing prime numbers. It also explores the relationship between prime numbers and the complex conjugate of five prime numbers in various dimensions. Accordingly, it delves into the classification of even numbers based on prime numbers. This study examines the proof of Riemann's hypothesis from a geometric dimension perspective. Based on this, the mathematical structure of an integrated theory is defined. properties and principles associated with prime numbers reveal connections between quantum mechanics and general relativity.

Keywords

Riemann hypothesis; prime numbers; six-dimensional space time

Subject

Computer Science and Mathematics, Mathematics

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