Is Bananaworld nonlocal

Abstract Jeffrey Bub (2018) investigates what we can learn about quantum mechanics from the structure of the correlations it predicts and apart from its detailed mathematical machinery. The present discussion is in the spirit of Bub's project. I examine two arguments, one from Clifton, Pagonis and Pitowsky (1992), and the other from Maudlin (2014). If either is correct, the non-signaling correlations by themselves entail that the quantum world is causally nonlocal. This paper calls both arguments into question. However, it also points out that even if the criticisms succeed, this doesn't settle whether quantum mechanics is causally nonlocal. The answer to that question depends on considerations that go beyond the correlations alone. Arthur Fine's “random devices in harmony” Fine (1981) will play a role as a tool for thinking about correlations that violate Bell-type inequalities.

[1]  Henry P. Stapp,et al.  S-MATRIX INTERPRETATION OF QUANTUM THEORY. , 1971 .

[2]  R. Spekkens,et al.  Quantum common causes and quantum causal models , 2016, 1609.09487.

[3]  Allen Stairs A loose and separate certainty: Caves, Fuchs and Schack on quantum probability one , 2011 .

[4]  A. Fine Correlations and Physical Locality , 1980, PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association.

[5]  J. Williams,et al.  Defending Conditional Excluded Middle , 2010 .

[6]  James E. Jarrett,et al.  On the Physical Significance of the Locality Conditions in the Bell Arguments , 1984 .

[7]  R. Hughes,et al.  The Structure and Interpretation of Quantum Mechanics , 1989 .

[8]  Allan Gibbard,et al.  Two Recent Theories of Conditionals , 1980 .

[9]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[10]  Gilles Brassard,et al.  Parallel Lives: A Local-Realistic Interpretation of “Nonlocal” Boxes , 2017, Entropy.

[11]  I. Pitowsky,et al.  Relativity, Quantum Mechanics and EPR , 1992, PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association.

[12]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[13]  The Interpretation of Quantum Mechanics , 1974 .

[14]  Abner Shimony,et al.  Search for a naturalistic world view: Events and processes in the quantum world , 1993 .

[15]  R. Frigg,et al.  Determinism and Chance from a Humean Perspective , 2010 .

[16]  Robert Stalnaker A Theory of Conditionals , 2019, Knowledge and Conditionals.

[17]  D. Lewis Causation as Influence , 2000 .

[18]  Carlton M. Caves,et al.  Subjective probability and quantum certainty , 2006 .

[19]  Quantum Humeanism, or: physicalism without properties , 2014, 1403.5666.

[20]  A. Zeilinger,et al.  Going Beyond Bell’s Theorem , 2007, 0712.0921.

[21]  S. Popescu,et al.  Quantum nonlocality as an axiom , 1994 .

[22]  Tim Maudlin,et al.  What Bell did , 2014, 1408.1826.