Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contextual extensions of quantum gravity models   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.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat