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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.05317 |
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| _version_ | 1866918486815539200 |
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| author | Godet, Victor |
| author_facet | Godet, Victor |
| contents | The no-boundary wavefunction for slow-roll inflation on the 3-sphere exponentially favors a small universe, in sharp disagreement with observations. We show that this problem is resolved by changing the spatial topology to the 3-torus. The sum over the ${\rm SL}(3,\mathbb{Z})$ family of geometries, computed using the theory of automorphic forms for ${\rm GL}(3)$, produces a wavefunction favoring a large inflating universe with ${\cal N} \gtrsim 250$ $e$-folds. We also compute corrections to the CMB power spectrum induced by torus moduli fluctuations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05317 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inflation and topology from the no-boundary state Godet, Victor High Energy Physics - Theory General Relativity and Quantum Cosmology The no-boundary wavefunction for slow-roll inflation on the 3-sphere exponentially favors a small universe, in sharp disagreement with observations. We show that this problem is resolved by changing the spatial topology to the 3-torus. The sum over the ${\rm SL}(3,\mathbb{Z})$ family of geometries, computed using the theory of automorphic forms for ${\rm GL}(3)$, produces a wavefunction favoring a large inflating universe with ${\cal N} \gtrsim 250$ $e$-folds. We also compute corrections to the CMB power spectrum induced by torus moduli fluctuations. |
| title | Inflation and topology from the no-boundary state |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.05317 |