PIRSA:22040122

Comments on the volume of the black hole interior in 2d gravity

APA

Sarosi, G. (2022). Comments on the volume of the black hole interior in 2d gravity. Perimeter Institute. https://pirsa.org/22040122

MLA

Sarosi, Gabor. Comments on the volume of the black hole interior in 2d gravity. Perimeter Institute, Apr. 19, 2022, https://pirsa.org/22040122

BibTex

          @misc{ pirsa_22040122,
            doi = {10.48660/22040122},
            url = {https://pirsa.org/22040122},
            author = {Sarosi, Gabor},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Comments on the volume of the black hole interior in 2d gravity},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {apr},
            note = {PIRSA:22040122 see, \url{https://pirsa.org}}
          }
          

Gabor Sarosi Budapest University of Technology and Economics

Abstract

The volume of the interior of a two-sided eternal black hole classically grows forever. I will derive a microscopic formula for this volume in JT gravity by summing the non-perturbative contribution of higher topologies. The non-perturbative corrections lead to the saturation of the volume of the interior at times exponential in the entropy of the black hole. I will connect the microscopic formula for the volume with properties of a "thermo-averaged" density matrix, in particular with its second Renyi entropy, which I argue to measure the number of nearly orthogonal states visited by time evolution. I will discuss various problems with this interpretation.

Zoom Link: https://pitp.zoom.us/j/99880539557?pwd=VWZiMFI5Rk5pdnNZRE5kalRvUk1Zdz09