  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.
