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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:15020080  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Geometry from Compression
Speaker(s): James Sully
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.

Date: 03/02/2015 - 2:00 pm
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