Is it true; or is it false; or somewhere in between? The logic of quantum theory
Abstract: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.
Document Type: Research Article
Affiliations: The Blackett Laboratory, Imperial College of Science, Technology & Medicine, South Kensington, London, SW7 2BZ, UK
Publication date: May 1, 2005