Geometry from Compression


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


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


          @misc{ pirsa_PIRSA:15020080,
            doi = {10.48660/15020080},
            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}}

James Sully McGill University


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.