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Probabilistic deconstruction of a theory of gravity, Part II: curved space

by Sunok Josephine Suh

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Submission summary

Authors (as registered SciPost users): Josephine Suh
Submission information
Preprint Link: https://arxiv.org/abs/2208.12204v3  (pdf)
Date accepted: 2023-12-28
Date submitted: 2023-11-14 04:06
Submitted by: Suh, Josephine
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
  • Mathematical Physics
  • Quantum Physics
Approach: Theoretical

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.

Published as SciPost Phys. 16, 012 (2024)



Author comments upon resubmission

Dear Editor,

We have revised the manuscript to take into account the referee's feedback and suggestions.

Best regards,
Josephine

List of changes

1. We have rewritten parts of the introduction, in particular the last three paragraphs on p. 2, to clarify the logic and explain the analogy to chaos better. We have also tried to shorten sentences when appropriate.

2. On top of p. 17, we have added a paragraph about the relation of our work to known aspects of AdS/CFT including the Ryu-Takayanagi formula.

3. We have made other small changes requested by referees, clarifying notation and adding definitions.


Reports on this Submission

Anonymous Report 2 on 2023-12-11 (Invited Report)

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I thank the author for making the improvements and the corrections. I recommend the paper for publication.

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Anonymous Report 1 on 2023-11-24 (Invited Report)

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The paper has improved enough to be accepted for publication in SciPost.

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