Non-locality and Possible Worlds. A Counterfactual Perspective on Quantum Entanglement
Ontos Verlag (2006)
| Abstract | This book uses the formal semantics of counterfactual conditionals to analyze the problem of non-locality in quantum mechanics. Counterfactual conditionals enter the analysis of quantum entangled systems in that they enable us to precisely formulate the locality condition that purports to exclude the existence of causal interactions between spatially separated parts of a system. They also make it possible to speak consistently about alternative measuring settings, and to explicate what is meant by quantum property attributions. The book develops the possible-world semantics of quantum counterfactuals using David Lewis's famous approach as a starting point but modifying it significantly in order to achieve compatibility with the demands of the special theory of relativity as well as quantum mechanics. There have been several attempts to use counterfactuals semantics to strengthen Bell's theorem and its cognates such as the GHZ and Hardy theorems. These are critically evaluated in the book. Finally, a counterfactual reconstruction of the EPR argument and Bell's theorem is proposed that sheds a new light on their philosophical consequences regarding the relations between realism and local causation. | |||||||||
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| ISBN(s) | 3938793295 9783938793299 | |||||||||
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Guillaume Adenier (ed.) (2007). Quantum Theory, Reconsideration of Foundations 4: Växjö (Sweden), 11-16 June, 2007. American Institute of Physics.
Mathias Frisch (2010). Causes, Counterfactuals, and Non-Locality. Australasian Journal of Philosophy 88 (4):655-672.
William Michael Dickson (1998). Quantum Chance and Non-Locality: Probability and Non-Locality in the Interpretations of Quantum Mechanics. Cambridge University Press.
Jeremy Butterfield (1990). Causal Independence in EPR Arguments. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:213 - 225.
Michael Dickson (2007). Review of Tomasz F. Bigaj, Non-Locality and Possible Worlds: A Counterfactual Perspective on Quantum Entanglement. [REVIEW] Notre Dame Philosophical Reviews 2007 (7).
Tomasz Bigaj (2010). How to (Properly) Strengthen Bell's Theorem Using Counterfactuals. Studies in History and Philosophy of Science Part B 41 (1):58-66.
Tomasz Bigaj (2007). Counterfactuals and Non-Locality of Quantum Mechanics: The Bedford–Stapp Version of the GHZ Theorem. Foundations of Science 12 (1).
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