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Epistemic Holes and Determinism in Classical General Relativity
The British Journal for the Philosophy of Science ( IF 3.2 ) Pub Date : 2020-09-01 , DOI: 10.1093/bjps/axz011
Juliusz Doboszewski

Determinism fails easily if spacetimes with points removed from the spacetime manifold are taken to be physically reasonable representations of a way the world could be according to classical general relativity. I discuss a recently proposed condition for determining which spacetimes have holes—epistemic hole freeness—and show that (a) epistemic hole freeness gives the correct verdict in some (but not all) non-globally hyperbolic spacetimes with a closed subset removed, (b) certain spacetimes with genuinely indeterministic features count as having an epistemic hole, which implies that the requirement of epistemic hole freeness enforces a form of determinism, and (c) there is a large class of spacetimes that intuitively are radically indeterministic and unphysical due to containing a hole (of a kind), but are free from epistemic holes. I show that a few natural ways of remedying (c) are not satisfactory.

中文翻译:

古典广义相对论中的认识论漏洞和决定论

如果从时空流形中移除点的时空被认为是根据经典广义相对论世界可能存在的方式的物理合理表示,那么确定论很容易失败。我讨论了最近提出的用于确定哪些时空有空洞的条件——认知空洞自由度——并表明 (a) 认知空洞自由度在一些(但不是全部)非全局双曲时空中给出了正确的判断,其中一个封闭的子集被移除,(b ) 某些具有真正不确定性特征的时空算作具有认知空洞,这意味着对认知空洞自由度的要求强制执行了一种形式的确定性,并且 (c) 有一大类时空在直觉上是完全不确定和非物理的,因为包含一个洞(一种),但没有认知洞。
更新日期:2020-09-01
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