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Determinism and general relativity

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
Creators:
CreatorsEmailORCID
Smeenk, Chris
Wuthrich, Christianchristian.wuthrich@unige.ch0000-0001-8774-6160
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
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
Date: 16 September 2020
URI: http://philsci-archive.pitt.edu/id/eprint/18110

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