Schedule Nov 30, 2021
Quantum gravity from probability
Josephine Suh, KITP
Cite as: doi:10.26081/K6SH05

We propose that the underlying context of holographic duality and the Ryu-Takayanagi formula is that the volume measure of spacetime is a probability measure constrained by quantum dynamics. In anti-de Sitter JT gravity, we define and analyze the quantum stochastic process induced by the boundary, and show Einstein’s equations arise from the evolution of probability under the non-Markovian process. In particular, the area of compactified space in the gravitational theory can be identified as a probability distribution evolving under the quantum process. Extrapolating these and analogous results in flat JT gravity, we conjecture that general relativity arises in the semi-classical limit of the evolution of probability with respect to quantum stochastic processes.

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