Probabilistic deconstruction of a theory of gravity, Part II: curved
space
- URL: http://arxiv.org/abs/2208.12204v3
- Date: Sun, 12 Nov 2023 14:51:21 GMT
- Title: Probabilistic deconstruction of a theory of gravity, Part II: curved
space
- Authors: S. Josephine Suh
- Abstract summary: We show that volume measure of spacetime is a probability measure constrained by quantum dynamics.
We conjecture that general relativity arises in the semi-classical limit of the evolution of probability with respect to quantum processes.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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. We define quantum stochastic processes
using joint quantum distributions which are realized in a quantum system as
expectation values of products of projectors. In anti-de Sitter JT gravity, we
show that Einstein's equations arise from the evolution of probability under
the quantum stochastic process induced by the boundary, with the area of
compactified space in the gravitational theory identified as a probability
density evolving under the quantum process. Extrapolating these and related
results in flat JT gravity found in arXiv:2108.10916, 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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