PIRSA:25050037 Scientific Series Quantum Gravity

DOI10.48660/25050037

Series: Quantum Gravity

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

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

@misc{ pirsa_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},
  year = {2025},
  month = {may},
  note = {PIRSA:25050037 see, \url{https://pirsa.org}}
}

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.]

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