We present an algorithm which determines the fundamental group of a spatial section using topspin networks. Tracking the topology of the spatial section is a unique feature of this approach, which is not possible in standard Loop Quantum Gravity. This leads to an example of spatial topology change in a smooth 4-manifold represented by a topspin foam.
- Pub Date:
- August 2013
- General Relativity and Quantum Cosmology;
- Mathematical Physics;
- Mathematics - General Topology;
- Based on work presented at the LOOPS 13 conference at the Perimeter Institute