PIRSA:15020080 Scientific Series Quantum Fields and Strings

DOI10.48660/15020080

Series: Quantum Fields and Strings

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}}
}

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.

Resources

Next talk

Related Talks