The wavefunction of a quantum S 1 × S 2 universe
Abstract We study quantum gravity corrections to the no-boundary wavefunction describing a universe with spatial topology S 1 × S 2. It has been suggested that quantum effects become increasingly important when the size of the circle is large relative to the sphere. In this paper, we confirm this cl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)158 |
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| author | Gustavo J. Turiaci Chih-Hung Wu |
| author_facet | Gustavo J. Turiaci Chih-Hung Wu |
| author_sort | Gustavo J. Turiaci |
| collection | DOAJ |
| description | Abstract We study quantum gravity corrections to the no-boundary wavefunction describing a universe with spatial topology S 1 × S 2. It has been suggested that quantum effects become increasingly important when the size of the circle is large relative to the sphere. In this paper, we confirm this claim by an explicit four-dimensional one-loop calculation of the gravitational path integral preparing such a state. In the process, we clarify some aspects of the gravitational path integral on complex spacetimes. These quantum corrections play a crucial role in ensuring that the norm of the wavefunction is naturally expressed in terms of a path integral over S 2 × S 2 at the classical level. We extend some of the analysis to more general spatial topologies, as well as to the inclusion of fermions. |
| format | Article |
| id | doaj-art-df066f2448604d2a8cd4e1feabab8868 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-df066f2448604d2a8cd4e1feabab88682025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025715010.1007/JHEP07(2025)158The wavefunction of a quantum S 1 × S 2 universeGustavo J. Turiaci0Chih-Hung Wu1Department of Physics, University of WashingtonDepartment of Physics, University of WashingtonAbstract We study quantum gravity corrections to the no-boundary wavefunction describing a universe with spatial topology S 1 × S 2. It has been suggested that quantum effects become increasingly important when the size of the circle is large relative to the sphere. In this paper, we confirm this claim by an explicit four-dimensional one-loop calculation of the gravitational path integral preparing such a state. In the process, we clarify some aspects of the gravitational path integral on complex spacetimes. These quantum corrections play a crucial role in ensuring that the norm of the wavefunction is naturally expressed in terms of a path integral over S 2 × S 2 at the classical level. We extend some of the analysis to more general spatial topologies, as well as to the inclusion of fermions.https://doi.org/10.1007/JHEP07(2025)158Cosmological modelsde Sitter spaceModels of Quantum Gravity |
| spellingShingle | Gustavo J. Turiaci Chih-Hung Wu The wavefunction of a quantum S 1 × S 2 universe Journal of High Energy Physics Cosmological models de Sitter space Models of Quantum Gravity |
| title | The wavefunction of a quantum S 1 × S 2 universe |
| title_full | The wavefunction of a quantum S 1 × S 2 universe |
| title_fullStr | The wavefunction of a quantum S 1 × S 2 universe |
| title_full_unstemmed | The wavefunction of a quantum S 1 × S 2 universe |
| title_short | The wavefunction of a quantum S 1 × S 2 universe |
| title_sort | wavefunction of a quantum s 1 s 2 universe |
| topic | Cosmological models de Sitter space Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP07(2025)158 |
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