Exploring the Links between Quantum Entanglement and Curved Space Time
DOI:
https://doi.org/10.58445/rars.213Keywords:
Quantum Entanglement, General Relativity, Cosmological Physics, ER=EPRAbstract
This review article discusses the technical derivation and components of the ER=EPR conjecture [arXiv:1306.0533] by Susskind and Maldacena, starting with the mathematical derivation of Einstein-Rosen wormhole solution in general relativity, building on the Schwarzschild metric to arrive at the Eddington-Finklestein and Kruskal-Szekeres coordinates, constructing a Penrose diagram demonstrating the quadripartite model of spacetime. Finally, we introduce elementary ideas from quantum entanglement (EPR) and connect them to the Ryu Takayanagi Formulate [arXiv:hep-th/0603001], and to the Susskind-Maldacena hypothesis of ER=EPR [arXiv:1412.8483]
References
R. Herman, “Penrose diagrams,” pp. 7–9, 2015. [Online]. Available: http://peo-
ple.uncw.edu/hermanr/GRcosmo/penrose.pdf
N. Bodendorfer, F. Mele, and J. Münch, “Effective quantum extended spacetime of polymer
schwarzschild black hole,” Classical and Quantum Gravity, vol. 36, p. 195015, 10 2019.
J. Maldacena, “The illusion of gravity,” Scientific American, vol. 293, pp. 56–63, 12 2005.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from the anti–de
sitter space/conformal field theory correspondence,” Physical Review Letters, vol. 96, no. 18,
may 2006. [Online]. Available: https://doi.org/10.1103%2Fphysrevlett.96.181602
P. Calabrese and J. Cardy, “Entanglement entropy and quantum field theory,” Journal of
Statistical Mechanics: Theory and Experiment, vol. 2004, no. 06, p. P06002, jun 2004.
[Online]. Available: https://doi.org/10.1088%2F1742-5468%2F2004%2F06%2Fp06002
A. Strominger and C. Vafa, “Microscopic origin of the bekenstein-hawking entropy,”
Physics Letters B, vol. 379, no. 1-4, pp. 99–104, jun 1996. [Online]. Available:
https://doi.org/10.1016%2F0370-2693%2896%2900345-0
L. Susskind, “Er=epr, ghz, and the consistency of quantum measurements,” 2014. [Online].
Available: https://arxiv.org/abs/1412.8483
Downloads
Posted
Categories
License
Copyright (c) 2023 Abhinav Raghavan
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.