Quantum gravitational effects on boundary

TL;DR

This paper investigates how quantum gravitational effects influence boundary conditions in black hole solutions, revealing a conflict with classical Dirichlet conditions and suggesting a link to boundary information storage mechanisms.

Contribution

It demonstrates that quantum effects can violate classical boundary conditions in gravitational systems, providing insights into boundary information dynamics.

Findings

Quantum effects conflict with Dirichlet boundary conditions in black hole solutions.

One-particle-irreducible (1PI) action solutions do not obey classical boundary conditions.

Violation of boundary conditions may relate to mechanisms of information storage on the boundary.

Abstract

Quantum gravitational effects may hold the key to some of the outstanding problems in theoretical physics. In this work we analyze the perturbative quantum effects on the boundary of a gravitational system and Dirichlet boundary condtion imposed at the classical level. Our analysis reveals that for a black hole solution there exists a clash between the quantum effects and Dirichlet boundary condition: the solution of the one-particle-irreducible (1PI) action no longer obeys the Dirichlet boundary condition. The analysis also suggests that the violation of the Dirichlet boundary condition should be tied with a certain mechanism of information storage on the boundary.