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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.08117 |
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| _version_ | 1866918095909552128 |
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| author | Saeed, Mustafa Husain, Viqar |
| author_facet | Saeed, Mustafa Husain, Viqar |
| contents | We describe quantization schemes for scalar field cosmology in the metric variables with fundamental discreteness imposed with a lattice. The variables chosen for quantization determine the lattice, and each lattice produces distinct effective equations derived from semiclassical states. We show that requiring a bounce at the Planck density uniquely selects the volume lattice and gives the same effective Friedmann equation as that obtained in loop quantum cosmology. We also present conditions for the validity of the effective equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08117 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum cosmology as a lattice in a box Saeed, Mustafa Husain, Viqar General Relativity and Quantum Cosmology We describe quantization schemes for scalar field cosmology in the metric variables with fundamental discreteness imposed with a lattice. The variables chosen for quantization determine the lattice, and each lattice produces distinct effective equations derived from semiclassical states. We show that requiring a bounce at the Planck density uniquely selects the volume lattice and gives the same effective Friedmann equation as that obtained in loop quantum cosmology. We also present conditions for the validity of the effective equations. |
| title | Quantum cosmology as a lattice in a box |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.08117 |