Nonlocal Effects in Quantum Gravity

TL;DR

This paper demonstrates that in Bohmian quantum gravity, Einstein's equations are modified by non-covariant quantum corrections at the individual level, but covariance is restored statistically.

Contribution

It explicitly shows how quantum corrections in Bohmian quantum gravity break covariance at the individual level but are restored statistically.

Findings

Quantum corrections are non-covariant at the individual level.

Einstein's equations are modified by quantum effects.

Covariance is restored at the statistical level.

Abstract

It is shown explicitly that in the framework of Bohmian quantum gravity, the equations of motion of the space-time metric are Einstein's equations plus some quantum corrections. It is observed that these corrections are not covariant. So that in the framework of Bohmian quantum gravity the general covariance principle breaks down at the individual level. This principle is restored at the statistical level.