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Quantization in Topos Quantum Theory: An Open Problem

  • Cecilia Flori
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 944)

Abstract

In this Chapter we are interested in analysing how, if at all, different quantizations can be represented in Topos Quantum Theory. We already know from the work of [57] that it is indeed possible to define the concept of quantization within a topos. We would like to extend this program to incorporate all possible equivalent quantizations.

References

  1. 27.
    C. Flori, Group action in topos quantum physics. J. Math. Phys. 54, 3 (2013). arXiv:1110.1650 [quant-ph]Google Scholar
  2. 50.
    P.T. Johnstone, Sketches of an Elephant A Topos Theory Compendium I, II (Oxford Science Publications, Oxford, 2002)Google Scholar
  3. 55.
    S. MacLane, I. Moerdijk, Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Springer, London, 1968)Google Scholar
  4. 57.
    K. Nakayama, Sheaves in quantum topos induced by quantization. arXiv:1109.1192 [math-ph]Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Cecilia Flori
    • 1
  1. 1.Computing and Mathematical SciencesThe Waikato UniversityHamiltonNew Zealand

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