Geometry as Compression

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• James Sully (SLAC/Stanford)
• Friday 13 March 2015, 13:00-14:00
• Pavilion B Potter Room (B1.19).

If you have a question about this talk, please contact Benson Way.

There appear to be 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 procedure 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. We arrive at a new, non-perturbative refinement of the spacetime entanglement conjecture.

This talk is part of the DAMTP Friday GR Seminar series.

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