Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics-Reference-Cited by-同舟云学术

Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics

Published:2023-07-07 Issue:13 Volume:11 Page:3025
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Abdelaziz Saadeldin¹^ORCID,Shaker Ahmed¹^ORCID,Salah Mostafa M.²^ORCID

Affiliation:

1. Faculty of Engineering, Ain Shams University, Cairo 11535, Egypt

2. Electrical Engineering Department, Future University in Egypt, Cairo 11835, Egypt

Abstract

In this study, we investigated a new zeta formula in which the zeta function can be expressed as the sum of an infinite series of delta and cosine functions. Our findings demonstrate that this formula possesses duality characteristics and we established a direct connection between the Riemann hypothesis and this new formula. Additionally, we explored the behavior of energy or particles in quantum physics within the proposed mathematical model framework based on the new formula. Our model provides a valuable understanding of several important physics inquiries, including the collapse of the wave function during measurement and quantum entanglement, as well as the double slits experiment.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/13/3025/pdf

Reference19 articles.

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2. Heath-Brown, D.R. (1986). The Theory of the Riemann Zeta-Function, Oxford University Press. [2nd ed.].

3. Basic zeta functions and some applications in physics;Kirsten;MSRI Publ.,2010

4. Borwein, P., Choi, S., Rooney, B., and Weirathmueller, A. (2006). The Riemann Hypothesis, Springer.

5. On the zeros of Riemann’s zeta-function on the critical line;Baluyot;J. Number Theory,2016