Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Spacetime Fluctuations in AdS/CFT

Erik Verlinde, Kathryn M. Zurek

Abstract

We compute fluctuations in the modular energy of the vacuum associated with a Rindler-wedge in AdS spacetime in the context of AdS/CFT. We discuss the possible effect of these energy fluctuations on the spacetime geometry, and on the traversal time of a light beam propagating from the boundary to the bulk and back.

Spacetime Fluctuations in AdS/CFT

Abstract

We compute fluctuations in the modular energy of the vacuum associated with a Rindler-wedge in AdS spacetime in the context of AdS/CFT. We discuss the possible effect of these energy fluctuations on the spacetime geometry, and on the traversal time of a light beam propagating from the boundary to the bulk and back.

Paper Structure

This paper contains 16 sections, 87 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Energy fluctuations in the AdS/CFT vacuum state
  3. Summary of the main results
  4. The geometric setup
  5. From Poincaré to AdS-Rindler coordinates
  6. The regularized horizon area of AdS-Rindler and topological black holes
  7. Fluctuations in the modular Hamiltonian
  8. The modular Hamiltonian: bulk versus boundary
  9. The gravitational replica method
  10. Computation of the fluctuations in the modular Hamiltonian
  11. Backreaction due to the fluctuating modular energy
  12. The relation between the mass $M$ and the modular hamiltonian $K$
  13. Fluctuations in the Newtonian potential on the Rindler horizon
  14. Horizon location and photon travel time
  15. Fluctuations in horizon location and photon travel time
  16. ...and 1 more sections

Figures (1)

  • Figure 1: Depiction of the causal diamond in AdS space anchored at the boundary. The red dotted line is the light signal from the boundary to a point in the bulk.