Affiliation:
1. Department of Physics, Beijing Normal University, Beijing 100875, P. R. China
Abstract
We present a simple way of incorporating the structure of contextual extensions into quantum gravity models. The contextual extensions of [Formula: see text]-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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)