论文标题

决定论和一般相对论

Determinism and general relativity

论文作者

Smeenk, Chris, Wuthrich, Christian

论文摘要

我们研究了一般相对论(GR)中确定论的命运,将哲学家的说法与物理学家的良好初始价值表述进行了比较。确定论的命运与空间“身体上合理”的问题交织在一起。一个核心问题是全球双曲线的地位,这是GR中确定论的必要条件。尽管在所有物理上合理的模型中,全球双曲线可能无法正确,但我们分析了菲亚特是否应该(i)施加的全球双曲线; (ii)从较弱的假设中确定,如宇宙审查定理中;或(iii)超越物理学的合理。

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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