Aspects of nonrelativistic quantum gravity

TL;DR

This paper explores a nonrelativistic quantum gravity framework, highlighting its potential to address black hole singularities, predict gravitational radiation, and support non-locality, with testable predictions at accessible scales.

Contribution

It introduces a nonrelativistic quantum gravity approach as a simplified model to identify issues and prospects in the quest for a complete quantum gravity theory.

Findings

Potential to prohibit black holes and eliminate singularities

Predicts gravitational radiation in spherically symmetric cases

Supports non-locality and quantum entanglement

Abstract

A nonrelativistic approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach can be used to point out problems and prospects inherent in a more exact theory of quantum gravity, yet to be discovered. Nonrelativistic quantum gravity, e.g., shows promise for prohibiting black holes altogether (which would eliminate singularities and also solve the black hole information paradox), gives gravitational radiation even in the spherically symmetric case, and supports non-locality (quantum entanglement). Its predictions should also be testable at length scales well above the "Planck scale", by high-precision experiments feasible with existing technology.