The Notion of Locality in Relational Quantum Mechanics
The term ‘locality’ is used in different contexts with different meanings. There have been claims that relational quantum mechanics is local, but it is not clear then how it accounts for the effects that go under the usual name of quantum non-locality. The present article shows that the failure of ‘locality’ in the sense of Bell, once interpreted in the relational framework, reduces to the existence of a common cause in an indeterministic context. In particular, there is no need to appeal to a mysterious space-like influence to understand it.
KeywordsNon-locality Locality Relational quantum mechanics EPR pairs Local causality Bell’s theorem
The ideas presented in this paper emerged during the Rethinking Workshop 2018 organised with the support of the Basic Research Community for Physics (BRCP). We thank especially Flavio Del Santo, Johannes Kleiner and Robin Lorenz for useful discussions. Daniel Martinez is also thanked for proofreading. We acknowledge the OCEVU Labex (ANR-11-LABX-0060) and the A*MIDEX Project (ANR-11-IDEX-0001-02) funded by the ‘Investissements d’Avenir’ French government program managed by the ANR.
- 1.Bell, J.S.: The theory of local beables. Speakable and Unspeakable in Quantum Mechanics, pp. 52–62. Cambridge University Press, Cambridge (1975)Google Scholar
- 4.Smerlak, M., Rovelli, C.: Relational EPR. Found. Phys. 37(3), 427–445 (2007). arXiv:quant-ph/0604064
- 5.Laudisa, F.: Open problems in relational quantum mechanics. arXiv:1710.07556
- 7.Bell, J.S.: Beables for quantum field theory. Speakable and Unspeakable in Quantum Mechanics, pp. 173–180. Cambridge University Press, Cambridge (1984)Google Scholar
- 12.Goldstein, S., Zanghí, N.: Reality and the Role of the Wavefunction in Quantum Theory, In: The Wave Function, Essays on the Metaphysics of Quantum Mechanics, A. Ney and D. Z. Albert, eds., ch. 4, pp. 91–109. Oxford University Press (2013) arXiv:1101.4575
- 13.Rovelli, C.: Space is blue and birds fly through it. Philos. Trans. R. Soc. A 376 (2123) (2018) arXiv:1712.02894
- 15.Candiotto, L.: The reality of relations. Giorn. Metafis. 2017(2), 537–551 (2017)Google Scholar
- 16.Arntzenius, F.: Reichenbach’s common cause principle, In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University, fall 2010 (2010) https://plato.stanford.edu/entries/physics-Rpcc/