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math-phOct 1, 2021
1
citations (OpenAlex)
authors
  • Matthijs Vákár
arXiv abstractPDF
paper

Topos-Theoretic Approaches to Quantum Theory

arXiv:2110.06793

Abstract

This review paper surveys work by Isham, Butterfield, Döring, Landsman, Spitters, Heunen, and others on topos-theoretic analyses of quantum theory. It aims to provide a synthesized account of their various approaches.

References in corpus (9)

  • A Topos Foundation for Theories of Physics: I. Formal Languages for Physics
  • `What is a Thing?': Topos Theory in the Foundations of Physics
  • A Topos Foundation for Theories of Physics: II. Daseinisation and the Liberation of Quantum Theory
  • Kochen-Specker theorem for von Neumann algebras
  • NMR Experimental Demonstration of Probabilistic Quantum Cloning
  • Integrals and Valuations
  • Abelian subalgebras and the Jordan structure of a von Neumann algebra
  • The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
  • Bohrification of local nets of observables
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