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Temporal Nonlocality from Indefinite Causal Orders

Letertre, Laurie (2025) Temporal Nonlocality from Indefinite Causal Orders.

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Abstract

A temporal counterpart to Bell nonlocality would intuitively refer to the presence of non-classical correlations between timelike-separated events. The hypothesis of temporal nonlocality has received recent support in the literature, and its existence would likely influence the future development of physical theories. This paper shows how Adlam's principle of temporal locality can be violated within a protocol involving indefinite causal orders. While the derivations of Leggett-Garg inequalities or the temporal CHSH inequality are said to involve problematic assumptions preventing a targeted probing of a well-defined notion of temporal nonlocality, the present test is free from such worries. However, it is shown that the test, in its current formulation, fails to be fully model-independent. We provide several considerations regarding the physicality of ICOs that could help alleviate this drawback. In the present work, a specific physical interpretation of ICOs in terms of retrocausal influences would explain the presence of temporally nonlocal correlations. It is argued that, as the physical underpinnings of temporal nonlocality might also account for standard Bell nonlocality, focusing on the former as a consequence of ICOs might support under-explored strategies to make sense of the latter.

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Item Type: Published Article or Volume
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CreatorsEmailORCID
Letertre, Laurielaurie.letertre@gmail.com0000-0001-8222-7644
Keywords: Temporal nonlocality, indefinite causal order, classical order, quantum nonlocality
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr Laurie Letertre
Date Deposited: 23 Jan 2025 14:20
Last Modified: 23 Jan 2025 14:20
Item ID: 24598
Official URL: https://www.journals.uchicago.edu/doi/10.1086/7349...
DOI or Unique Handle: https://doi.org/10.1086/734907
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Date: January 2025
URI: https://philsci-archive.pitt.edu/id/eprint/24598

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