A Topos Model for Loop Quantum Gravity

Details A Topos Model for Loop Quantum Gravity A Topos Model for Loop Quantum Gravity

2011-11-24

arxiv.org/abs/1111.5685v1

Physics

Mathematical Physics

21 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A Topos Model for Loop Quantum Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Topos Model for Loop Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Topos Model for Loop Quantum Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156552