PIRSA:09010017 Scientific Series Quantum Gravity

DOI10.48660/09010017

Series: Quantum Gravity

Flori, C. (2009). Topos formulation of Consistent Histories. Perimeter Institute. https://pirsa.org/09010017

Flori, Cecilia. Topos formulation of Consistent Histories. Perimeter Institute, Jan. 14, 2009, https://pirsa.org/09010017 

@misc{ pirsa_PIRSA:09010017,
  doi = {10.48660/09010017},
  url = {https://pirsa.org/09010017},
  author = {Flori, Cecilia},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Topos formulation of Consistent Histories},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {jan},
  note = {PIRSA:09010017 see, \url{https://pirsa.org}}
}

Abstract

In this talk I will describe a topos formulation of consistent histories obtained using the topos reformulation of standard quantum mechanics put forward by Doering and Isham. Such a reformulation leads to a novel type of logic with which to represent propositions. In the first part of the talk I will introduce the topos reformulation of quantum mechanics. I will then explain how such a reformulation can be extended so as to include temporally-ordered collection of propositions as opposed to single time propositions. Finally I will show how such an extension will lead to the possibility of assigning truth values to temporal propositions.

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