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Topos-Theoretic Approaches to Quantum Theory
Topos theory quantum logic category theory operational quantum mechanics
2016/5/31
Starting from a naive investigation into the nature of experiments on a physical system one can argue that states of the system should pair non-degenerately with physical observables. This duality is ...
This paper develops some ideas from previous work (coauthored, mostly
with C.J.Isham). In that work, the main proposal is to assign as the
value of a physical quantity in quantum theory (or classica...
A Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalised Valuations
Kochen-Specker theorem category theory
2008/4/9
Any attempt to construct a realist interpretation of quantum theory founders on the Kochen-Specker theorem, which asserts the impossibility of assigning values to quantum quantities in a way that pres...