Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Topos Model for Loop Quantum Gravity   One of the main motivations behind so-called topos physics, as developed by
Chris Isham and Andreas Doering [4-7], is to provide a framework for new
theories of quantum gravity. In this article we do not search for such
theories, but ask instead how one of the known candidates for a final theory,
loop quantum gravity (LQG), fits into the topos-theoretical approach. In the
construction to follow, we apply the 'Bohrification' method developed by
Heunen, Landsman and Spitters [10, 11] to the C*-algebra version of LQG
introduced by Christian Fleischhack [9]. We then bring together LQG results and
methods from topos physics in a proof of the non-sobriety of the external state
space S of the Bohrified LQG theory, and show that the construction obeys the
standard requirements of diffeomorphism and gauge invariance.

6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ