A possible origin of the $α$-vacuum as the initial state of the Universe
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916220683419648 |
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| author | Chen, Pisin Lin, Kuan-Nan Lin, Wei-Chen Yeom, Dong-han |
| author_facet | Chen, Pisin Lin, Kuan-Nan Lin, Wei-Chen Yeom, Dong-han |
| contents | We investigate the cosmological observables using the Euclidean path integral approach. Specifically, we study both the no-boundary compact instantons scenario and the Euclidean wormholes scenario that can induce the creation of two universes from nothing. It is known that perturbations associated with the no-boundary scenario can only be consistent with the Bunch-Davies vacuum. Here we demonstrate that the Euclidean wormholes can allow for a de Sitter invariant vacuum, the so-called $α$-vacuum state, where the Bunch-Davies vacuum is a special case. This therefore provides the $α$-vacuum a geometrical origin. As an aside, we discuss a subtle phase issue when considering the power spectrum related to $α$-vacuum in the closed universe framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A possible origin of the $α$-vacuum as the initial state of the Universe Chen, Pisin Lin, Kuan-Nan Lin, Wei-Chen Yeom, Dong-han General Relativity and Quantum Cosmology We investigate the cosmological observables using the Euclidean path integral approach. Specifically, we study both the no-boundary compact instantons scenario and the Euclidean wormholes scenario that can induce the creation of two universes from nothing. It is known that perturbations associated with the no-boundary scenario can only be consistent with the Bunch-Davies vacuum. Here we demonstrate that the Euclidean wormholes can allow for a de Sitter invariant vacuum, the so-called $α$-vacuum state, where the Bunch-Davies vacuum is a special case. This therefore provides the $α$-vacuum a geometrical origin. As an aside, we discuss a subtle phase issue when considering the power spectrum related to $α$-vacuum in the closed universe framework. |
| title | A possible origin of the $α$-vacuum as the initial state of the Universe |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.15450 |