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- W2756537015 abstract "We study the mathematical foundations of physics. We reconstruct textbook quantum theory from a single symmetric monoidal functor $GNS : mathbf{Phys} longrightarrow astmathbf{Mod}$, based on the Gelfand-Naimark-Segal construction and the notion of representability. We derive the probabilistic interpretation of quantum mechanics, including the Born rule, the Schrodinger and Heisenberg pictures, the relation between symmetries and group representations, and a theory of quantum Markov processes, including wave function collapse. Inclusion of the classical limit and deformation quantization is briefly sketched. Gauge symmetry and extended locality cannot currently be accommodated, due to conceptual difficulties discussed in an appendix." @default.
- W2756537015 created "2017-10-06" @default.
- W2756537015 creator A5071461068 @default.
- W2756537015 date "2017-09-26" @default.
- W2756537015 modified "2023-09-27" @default.
- W2756537015 title "Categories of Physical Processes" @default.
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- W2756537015 hasPublicationYear "2017" @default.
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