Curvature fluctuations in a baby quantum gravity model
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910780069249024 |
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| author | Blitz, Samuel Majid, Shahn |
| author_facet | Blitz, Samuel Majid, Shahn |
| contents | Understanding the microscopic behavior of spacetime is critical for developing a theory of quantum gravity and perhaps solving the cosmological constant problem. In this context, it has been proposed that the quantity of interest is the quantum uncertainty in the Ricci scalar and here we investigate this for a discrete baby quantum gravity model based a single square cell. We find that the averaged Ricci scalar vanishes to leading order but has UV-divergent fluctuations. While this behavior is stable under renormalization, it appears not to be under the introduction of a small cosmological constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18397 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curvature fluctuations in a baby quantum gravity model Blitz, Samuel Majid, Shahn General Relativity and Quantum Cosmology High Energy Physics - Theory Understanding the microscopic behavior of spacetime is critical for developing a theory of quantum gravity and perhaps solving the cosmological constant problem. In this context, it has been proposed that the quantity of interest is the quantum uncertainty in the Ricci scalar and here we investigate this for a discrete baby quantum gravity model based a single square cell. We find that the averaged Ricci scalar vanishes to leading order but has UV-divergent fluctuations. While this behavior is stable under renormalization, it appears not to be under the introduction of a small cosmological constant. |
| title | Curvature fluctuations in a baby quantum gravity model |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.18397 |