Probabilistic deconstruction of a theory of gravity, Part I: flat space
- URL: http://arxiv.org/abs/2108.10916v4
- Date: Wed, 20 Sep 2023 06:14:41 GMT
- Title: Probabilistic deconstruction of a theory of gravity, Part I: flat space
- Authors: S. Josephine Suh
- Abstract summary: We show that Einstein's equations of the theory arise in the semi-classical limit of the quantum evolution of probability under the process.
In particular, in flat Jackiw-Teitelboim gravity, the area of compactified space solved for by Einstein's equations can be identified as a probability density evolving under the Markovian process.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We define and analyze a stochastic process in anti-de Sitter
Jackiw-Teitelboim gravity, induced by the quantum dynamics of the boundary and
whose random variable takes values in $AdS_2$. With the boundary in a thermal
state and for appropriate parameters, we take the asymptotic limit of the
quantum process at short time scales and flat space, and show associated
classical joint distributions have the Markov property. We find that Einstein's
equations of the theory, sans the cosmological constant term, arise in the
semi-classical limit of the quantum evolution of probability under the
asymptotic process. In particular, in flat Jackiw-Teitelboim gravity, the area
of compactified space solved for by Einstein's equations can be identified as a
probability density evolving under the Markovian process.
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