Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetime
In non-relativistic quantum mechanics, the Heisenberg Uncertainty Principle states a fundamental limit to the accuracy in the measurement of pairs of conjugate variables, such as position and momentum. Based on a semiclassical geometric approach, it has been recently proposed a generalization of the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323001542 |
| _version_ | 1797823762948685824 |
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| author | Daniel Chemisana Jaume Giné Jaime Madrid |
| author_facet | Daniel Chemisana Jaume Giné Jaime Madrid |
| author_sort | Daniel Chemisana |
| collection | DOAJ |
| description | In non-relativistic quantum mechanics, the Heisenberg Uncertainty Principle states a fundamental limit to the accuracy in the measurement of pairs of conjugate variables, such as position and momentum. Based on a semiclassical geometric approach, it has been recently proposed a generalization of the uncertainty principle under the relativistic case, which could be extended to General Relativity. This formalism was applied to the Schwarzschild and de Sitter spacetime, showing that the uncertainty relations obtained can be mapped into deformations of Generalized Heisenberg principles well-known in the literature and obtained from the different models of quantum gravity proposed. In the present study, the generalized Heisenberg Principle is derived from the commutator relation, and has been applied to the classical gravitational tests and the derived consequences are framed and analyzed. |
| first_indexed | 2024-03-13T10:28:45Z |
| format | Article |
| id | doaj.art-4c98fcb43a864933a8e1eb8ad124c18e |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-13T10:28:45Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-4c98fcb43a864933a8e1eb8ad124c18e2023-05-19T04:44:57ZengElsevierNuclear Physics B0550-32132023-06-01991116225Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetimeDaniel Chemisana0Jaume Giné1Jaime Madrid2Applied Physics Section of Environ. Sci. Dept., Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, SpainDepartament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, Catalonia, Spain; Corresponding author.Applied Physics Section of Environ. Sci. Dept., Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, SpainIn non-relativistic quantum mechanics, the Heisenberg Uncertainty Principle states a fundamental limit to the accuracy in the measurement of pairs of conjugate variables, such as position and momentum. Based on a semiclassical geometric approach, it has been recently proposed a generalization of the uncertainty principle under the relativistic case, which could be extended to General Relativity. This formalism was applied to the Schwarzschild and de Sitter spacetime, showing that the uncertainty relations obtained can be mapped into deformations of Generalized Heisenberg principles well-known in the literature and obtained from the different models of quantum gravity proposed. In the present study, the generalized Heisenberg Principle is derived from the commutator relation, and has been applied to the classical gravitational tests and the derived consequences are framed and analyzed.http://www.sciencedirect.com/science/article/pii/S0550321323001542 |
| spellingShingle | Daniel Chemisana Jaume Giné Jaime Madrid Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetime Nuclear Physics B |
| title | Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetime |
| title_full | Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetime |
| title_fullStr | Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetime |
| title_full_unstemmed | Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetime |
| title_short | Generalized Heisenberg Uncertainty Principle due to the quantum gravitational effects in the Schwarzschild spacetime |
| title_sort | generalized heisenberg uncertainty principle due to the quantum gravitational effects in the schwarzschild spacetime |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323001542 |
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