Smeenk, Chris and Wuthrich, Christian (2020) Determinism and general relativity. [Preprint]
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Abstract
We investigate the fate of determinism in general relativity (GR), comparing the philosopher's account with the physicist's well-posed initial value formulations. The fate of determinism is interwoven with the question of what it is for a spacetime to be `physically reasonable'. A central concern is the status of global hyperbolicity, a putatively necessary condition for determinism in GR. While global hyperbolicity may fail to be true of all physically reasonable models, we analyze whether global hyperbolicity should be (i) imposed by fiat; (ii) established from weaker assumptions, as in cosmic censorship theorems; or (iii) justified by beyond-GR physics.
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| Item Type: | Preprint | |||||||||
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| Additional Information: | 21 pages, 2 figures | |||||||||
| Keywords: | Determinism; General relativity; Global hyperbolicity; Well-posed initial value formulation; Cosmic censorship theorems; Physics beyond GR | |||||||||
| Subjects: | Specific Sciences > Physics > Cosmology General Issues > Determinism/Indeterminism Specific Sciences > Physics Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Relativity Theory |
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| Depositing User: | Christian Wuthrich | |||||||||
| Date Deposited: | 17 Sep 2020 02:45 | |||||||||
| Last Modified: | 17 Sep 2020 02:45 | |||||||||
| Item ID: | 18110 | |||||||||
| Subjects: | Specific Sciences > Physics > Cosmology General Issues > Determinism/Indeterminism Specific Sciences > Physics Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Relativity Theory |
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| Date: | 16 September 2020 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/18110 |
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