PIRSA:25050037

Video URL

https://pirsa.org/25050037

Quantum Gravity and Effective Topology

Loll, R. (2025). Quantum Gravity and Effective Topology. Perimeter Institute for Theoretical Physics. https://pirsa.org/25050037

Loll, Renate. Quantum Gravity and Effective Topology. Perimeter Institute for Theoretical Physics, May. 22, 2025, https://pirsa.org/25050037 

          @misc{ scivideos_PIRSA:25050037,
            doi = {10.48660/25050037},
            url = {https://pirsa.org/25050037},
            author = {Loll, Renate},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Quantum Gravity and Effective Topology},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {may},
            note = {PIRSA:25050037 see, \url{https://scivideos.org/index.php/pirsa/25050037}}
          }

Renate Loll Radboud Universiteit Nijmegen

Talk numberPIRSA:25050037
DOI10.48660/25050037
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

My presentation will introduce a new methodology to characterize properties of quantum spacetime in a strongly quantum-fluctuating regime, using tools from topological data analysis. Starting from a microscopic quantum geometry, generated nonperturbatively in terms of dynamical triangulations (DT), we compute the homology of a sequence of coarse-grained versions of the geometry as a function of the coarse-graining scale. This gives rise to a characteristic "topological finger print" of the quantum geometry. I discuss the results for Lorentzian and Euclidean 2D quantum gravity, defined via lattice quantum gravity based on causal and Euclidean DT. For the latter, our numerical analysis reproduces the well-known string susceptibility exponent governing the scaling behaviour of the partition function.
 
[Joint work with Jesse van der Duin, Marc Schiffer and Agustin Silva, to appear.]