Abstract
We review an argument that bipartite “PR-box” correlations, though designed to respect relativistic causality, in fact violate relativistic causality in the classical limit. As a test of this argument, we consider Greenberger–Horne–Zeilinger (GHZ) correlations as a tripartite version of PR-box correlations, and ask whether the argument extends to GHZ correlations. If it does—i.e., if it shows that GHZ correlations violate relativistic causality in the classical limit—then the argument must be incorrect (since GHZ correlations do respect relativistic causality in the classical limit.) However, we find that the argument does not extend to GHZ correlations. We also show that both PR-box correlations and GHZ correlations can be retrocausal, but the retrocausality of PR-box correlations leads to self-contradictory causal loops, while the retrocausality of GHZ correlations does not.
Highlights
We review an argument that bipartite “PR-box” correlations, though designed to respect relativistic causality, violate relativistic causality in the classical limit
Quantum mechanics might make more sense to us if we could derive it from simple axioms with clear physical content, instead of opaque axioms about Hilbert space
Aharonov [1,2] and, independently, Shimony [3,4] conjectured that quantum mechanics might follow from the two axioms of nonlocality and relativistic causality
Summary
We review an argument that bipartite “PR-box” correlations, though designed to respect relativistic causality, violate relativistic causality in the classical limit. PR-box correlations violate relativistic causality in the classical limit, as claimed. Consider a triplet of spin-half particles in a GHZ state |ΨGHZ i = | ↑i A | ↑i B | ↑i J − | ↓i A | ↓i B | ↓i J / 2 shared by Alice, Bob and Jim in their respective laboratories.
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