Uncertainty relation for quantum gravity

TL;DR

This paper discusses the implications of quantum gravity for the nature of spacetime coordinates, suggesting it should be non-local and possibly non-commutative, highlighting fundamental uncertainties in quantum gravity theories.

Contribution

It proposes a new perspective on quantum gravity, emphasizing the potential non-local and non-commutative nature of spacetime at quantum scales.

Findings

Quantum gravity likely involves non-locality.

Spacetime coordinates may be non-commutative.

Highlights the need for a non-perturbative quantum gravity theory.

Abstract

Discussion of physical realization of coordinates demonstrates that the quantum theory of gravity (still absent) should be non-local and, probably, non-commutative as well.