Topos theory and `neo-realist' quantum theory

Details Topos theory and `neo-realist' quantum theory Topos theory and `neo-realist' quantum theory

2007-12-24

arxiv.org/abs/0712.4003v1

Physics

Quantum Physics

22 pages, no figures; contribution for Proceedings of workshop "Recent Developments in Quantum Field Theory", MPI MIS Leipzig,

Scientific paper

Topos theory, a branch of category theory, has been proposed as mathematical basis for the formulation of physical theories. In this article, we give a brief introduction to this approach, emphasising the logical aspects. Each topos serves as a `mathematical universe' with an internal logic, which is used to assign truth-values to all propositions about a physical system. We show in detail how this works for (algebraic) quantum theory.

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