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arXiv · 0712.4003

Topos theory and `neo-realist' quantum theory

Andreas Doering
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Abstract

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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Andreas Doering. 2007-12-24. Topos theory and `neo-realist' quantum theory. https://doi.org/10.1007/978-3-7643-8736-5_2

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