Can one region of space encode another?


Cummings, C. (2023). Can one region of space encode another?. Perimeter Institute. https://pirsa.org/23110086


Cummings, Charlie. Can one region of space encode another?. Perimeter Institute, Nov. 28, 2023, https://pirsa.org/23110086


          @misc{ pirsa_PIRSA:23110086,
            doi = {10.48660/23110086},
            url = {https://pirsa.org/23110086},
            author = {Cummings, Charlie},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Can one region of space encode another?},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {nov},
            note = {PIRSA:23110086 see, \url{https://pirsa.org}}

Charlie Cummings University of Pennsylvania


Using a novel version of the gravitational path integral for compact spatial regions at a moment of time symmetry, I argue that a region of space can encode a larger one. In particular, I show that the entanglement entropy of a region of space equals the area of the boundary of the smallest region that contains it. The key insight is to include the effects of the gravitational edge modes associated with the region in the path integral. This result is consistent with a recent conjecture by Bousso and Penington.


Zoom link https://pitp.zoom.us/j/93301151464?pwd=Z2t5QlpUQ3hoaEkwQlFZS2tITGpEQT09