PIRSA:25050022

Video URL

https://pirsa.org/25050022

Numerical Methods in (Loop) Quantum Gravity

Qu, D. (2025). Numerical Methods in (Loop) Quantum Gravity. Perimeter Institute for Theoretical Physics. https://pirsa.org/25050022

Qu, Dongxue. Numerical Methods in (Loop) Quantum Gravity. Perimeter Institute for Theoretical Physics, May. 08, 2025, https://pirsa.org/25050022 

          @misc{ scivideos_PIRSA:25050022,
            doi = {10.48660/25050022},
            url = {https://pirsa.org/25050022},
            author = {Qu, Dongxue},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Numerical Methods in (Loop) Quantum Gravity},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {may},
            note = {PIRSA:25050022 see, \url{https://scivideos.org/pirsa/25050022}}
          }

Dongxue Qu Perimeter Institute for Theoretical Physics

Talk numberPIRSA:25050022
DOI10.48660/25050022
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Numerical methods are powerful tools for advancing our understanding of quantum gravity. In this talk, I will introduce two complementary numerical approaches. The first focuses on solving nonlinear partial differential equations that arise in Loop Quantum Gravity (LQG)-inspired effective models. This framework enables us to investigate the formation and evolution of shock waves in spherically symmetric gravitational collapse. The second approach involves the use of complex critical points, Lefschetz thimble techniques, and the Metropolis Monte Carlo algorithm to study the Lorentzian path integral in Spinfoam models and Quantum Regge Calculus. These methods offer new insights into quantum cosmology and black-to-white hole transitions.