Is it true; or is it false; or somewhere in between? The logic of quantum theory
The paper contains a relatively non-technical summary of some recent work by the author and Jeremy Butterfield. The goal is to find a way of assigning meaningful truth values to propositions in quantum theory: something that is not possible in the normal, instrumentalist interpretation. The key mathematical tool is presheaf theory where multi-valued, contextual truth values arise naturally. We show how this can be applied to quantum theory, with the ‘contexts' chosen to be Boolean subalgebras of the set of all projection operators.
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Document Type: Research Article
Affiliations: The Blackett Laboratory, Imperial College of Science, Technology & Medicine, South Kensington, London, SW7 2BZ, UK
Publication date: 2005-05-01