Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics
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 hypoth...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/13/3025 |
| _version_ | 1797591237978488832 |
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| author | Saadeldin Abdelaziz Ahmed Shaker Mostafa M. Salah |
| author_facet | Saadeldin Abdelaziz Ahmed Shaker Mostafa M. Salah |
| author_sort | Saadeldin Abdelaziz |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T01:34:38Z |
| format | Article |
| id | doaj.art-dbf161aa5bb447adb500c2eec98571b4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T01:34:38Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-dbf161aa5bb447adb500c2eec98571b42023-11-18T17:04:45ZengMDPI AGMathematics2227-73902023-07-011113302510.3390/math11133025Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum PhysicsSaadeldin Abdelaziz0Ahmed Shaker1Mostafa M. Salah2Faculty of Engineering, Ain Shams University, Cairo 11535, EgyptFaculty of Engineering, Ain Shams University, Cairo 11535, EgyptElectrical Engineering Department, Future University in Egypt, Cairo 11835, EgyptIn 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.https://www.mdpi.com/2227-7390/11/13/3025zeta functionRiemann hypothesisdualitywave collapseentanglementdouble slits experiment |
| spellingShingle | Saadeldin Abdelaziz Ahmed Shaker Mostafa M. Salah Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics Mathematics zeta function Riemann hypothesis duality wave collapse entanglement double slits experiment |
| title | Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics |
| title_full | Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics |
| title_fullStr | Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics |
| title_full_unstemmed | Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics |
| title_short | Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics |
| title_sort | development of a new zeta formula and its role in riemann hypothesis and quantum physics |
| topic | zeta function Riemann hypothesis duality wave collapse entanglement double slits experiment |
| url | https://www.mdpi.com/2227-7390/11/13/3025 |
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