Quantum gravity, minimum length and Keplerian orbits

TL;DR

This paper explores how quantum gravity-inspired modifications to classical mechanics could affect planetary orbits, specifically calculating the perihelion precession rate under these new relations.

Contribution

It introduces a conjecture that quantum gravity modifications to commutation relations influence classical orbital dynamics, providing a new way to test quantum gravity effects.

Findings

Derived a formula for perihelion precession rate with modified commutation relations.

Suggests potential observable effects of quantum gravity in celestial mechanics.

Abstract

We conjecture that the modified commutation relations suggested in the context of quantum gravity (QG) persist also in the classical limit, if the momentum of the classical object is not too large, and calculate the corresponding perihelion precession rate for Keplerian orbits.