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Humean supervenience and tripartite entanglement relations
Axiomathes ( IF 0.5 ) Pub Date : 2020-11-04 , DOI: 10.1007/s10516-020-09522-7
Lorenzo Lorenzetti 1
Affiliation  

It has been argued that Humean Supervenience (HS) is threatened by the existence of quantum entanglement relations. The most conservative strategy for defending HS is to add the problematic entanglement relations to the supervenience basis, alongside spatiotemporal relations. In this paper, I’m going to argue against this strategy by showing how certain particular cases of tripartite entanglement states – i.e. GHZ states – posit some crucial problems for this amended version of HS. Moreover, I will show that the principle of free recombination – which is strictly linked to HS – is severely undermined if we add entanglement relations to the supervenience basis. I conclude that the conservative move is very unappealing, and therefore the defender of HS should pursue other, more controversial, strategies (e.g. committing to the nomological interpretation of the wave function).



中文翻译:

休谟附带与三方纠缠关系

有人认为,休谟随同(HS)受到量子纠缠关系存在的威胁。捍卫 HS 的最保守策略是将有问题的纠缠关系与时空关系一起添加到附带基础。在本文中,我将通过展示某些特定情况下的三方纠缠状态如何来反对这种策略– 即 GHZ 州 – 为这个修订版的 HS 提出了一些关键问题。此外,我将表明,如果我们将纠缠关系添加到附带基础上,那么与 HS 严格相关的自由重组原则将受到严重破坏。我的结论是,保守的举动非常没有吸引力,因此 HS 的捍卫者应该寻求其他更具争议性的策略(例如,致力于波函数的法理解释)。

更新日期:2020-11-04
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