PIRSA:15020080

Geometry from Compression

APA

Sully, J. (2015). Geometry from Compression. Perimeter Institute. https://pirsa.org/15020080

MLA

Sully, James. Geometry from Compression. Perimeter Institute, Feb. 03, 2015, https://pirsa.org/15020080

BibTex

          @misc{ pirsa_15020080,
            doi = {},
            url = {https://pirsa.org/15020080},
            author = {Sully, James},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Geometry from Compression},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {feb},
            note = {PIRSA:15020080 see, \url{https://pirsa.org}}
          }
          

Abstract

Recent research has suggested deep connections between geometry and entropy. This connection was first seen in black hole thermodynamics, but has been more fully realized in the Ryu-Takayanagi proposal for calculating entanglement entropies in AdS/CFT. We suggest that this connection is even broader: entropy, and in particular compression, are the fundamental building blocks of emergent geometry. We demonstrate how spatial geometry can be derived from the properties of a recursive compression algorithm for the boundary CFT. We propose a general algorithm for constructing MERA-like tensor networks and elucidate connections to the mathematical field of integral geometry.