- Home »
- Random non-commutative geometry

Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other compatible player.

Speaker(s):

Scientific Areas:

Collection/Series:

PIRSA Number:

15120023

The collection of all Dirac operators for a given fermion space defines its space of geometries.

Formally integrating over this space of geometries can be used to define a path integral and a thus a theory of quantum gravity.

In general this expression is complicated, however for fuzzy spaces a simple expression for the general form of the Dirac operator exists. This simple expression allows us to explore the space of geometries using Markov Chain Monte Carlo methods and thus examine the path integral in a manner similar to that used in CDT.

In doing this we find a phase transition and indications that the geometries close to this phase transition might be manifold like.

Share This PageShare this on TwitterShare on FacebookPublish this post to LinkedInSubmit this post on reddit.com

©2012 Perimeter Institute for Theoretical Physics