{ "id": "1407.8530", "version": "v1", "published": "2014-07-31T18:59:37.000Z", "updated": "2014-07-31T18:59:37.000Z", "title": "PR-box correlations have no classical limit", "authors": [ "Daniel Rohrlich" ], "comment": "for a video of this talk at the Aharonov-80 Conference in 2012 at Chapman University, see quantum.chapman.edu/talk-10, published in Quantum Theory: A Two-Time Success Story (Yakir Aharonov Festschrift), eds. D. C. Struppa and J. M. Tollaksen (New York: Springer), 2013, pp. 205-211", "categories": [ "quant-ph" ], "abstract": "One of Yakir Aharonov's endlessly captivating physics ideas is the conjecture that two axioms, namely relativistic causality (\"no superluminal signalling\") and nonlocality, so nearly contradict each other that a unique theory - quantum mechanics - reconciles them. But superquantum (or \"PR-box\") correlations imply that quantum mechanics is not the most nonlocal theory (in the sense of nonlocal correlations) consistent with relativistic causality. Let us consider supplementing these two axioms with a minimal third axiom: there exists a classical limit in which macroscopic observables commute. That is, just as quantum mechanics has a classical limit, so must any generalization of quantum mechanics. In this classical limit, PR-box correlations violate relativistic causality. Generalized to all stronger-than-quantum bipartite correlations, this result is a derivation of Tsirelson's bound without assuming quantum mechanics.", "revisions": [ { "version": "v1", "updated": "2014-07-31T18:59:37.000Z" } ], "analyses": { "keywords": [ "classical limit", "quantum mechanics", "endlessly captivating physics ideas", "aharonovs endlessly captivating physics", "pr-box correlations violate relativistic causality" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014qtat.book..205R" } } }