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Open Quantum Systems Decoherence

Contextual extensions of quantum gravity models

arXiv
Authors: Xiao-Kan Guo

Year

2020

Paper ID

21170

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

Abstract

We present a simple way of incorporating the structure of contextual extensions into quantum gravity models. The contextual extensions of C^*-algebras, originally proposed for contextual hidden variables, are generalized to the cones indexed by the contexts and their limit in a category. By abstracting the quantum gravity models as functors, we study the contextual extensions as the categorical limits of these functors in several quantum gravity models. Such contextual extensions of quantum gravity models are useful for building topos-theoretic models of quantum gravity.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We present a simple way of incorporating the structure of contextual extensions into quantum gravity models.

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