PIRSA:15120023

Video URL

https://pirsa.org/15120023

Random non-commutative geometry

Glaser, L. (2015). Random non-commutative geometry. Perimeter Institute for Theoretical Physics. https://pirsa.org/15120023

Glaser, Lisa. Random non-commutative geometry. Perimeter Institute for Theoretical Physics, Dec. 10, 2015, https://pirsa.org/15120023 

          @misc{ scivideos_PIRSA:15120023,
            doi = {10.48660/15120023},
            url = {https://pirsa.org/15120023},
            author = {Glaser, Lisa},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Random non-commutative geometry},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2015},
            month = {dec},
            note = {PIRSA:15120023 see, \url{https://scivideos.org/index.php/pirsa/15120023}}
          }

Lisa Glaser University of Vienna

Talk numberPIRSA:15120023
DOI10.48660/15120023
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

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.