# Resolving Spacetime Singularities within Asymptotic Safety

## TL;DR

This paper demonstrates that within the asymptotic safety approach to quantum gravity, quantum corrections can eliminate classical spacetime singularities by modifying the Newtonian potential at small scales.

## Contribution

It computes the non-perturbative quantum corrections to the graviton propagator and shows how these lead to a finite, non-singular Newtonian potential at short distances.

## Key findings

- Quantum corrections cause the Newtonian potential to approach a constant negative value at small distances.
- The mechanism for singularity removal is likely applicable to black hole and cosmic singularities.
- Supports the viability of asymptotic safety as a quantum gravity framework.

## Abstract

A key incentive of quantum gravity is the removal of spacetime singularities plaguing the classical theory. We compute the non-perturbative momentum-dependence of a specific structure function within the gravitational asymptotic safety program which encodes the quantum corrections to the graviton propagator for momenta above the Planck scale. The resulting quantum corrected Newtonian potential approaches a constant negative value as the distance between the two point masses goes to zero, thereby removing the classical singularity. The generic nature of the underlying mechanism suggests that it will remain operative in the context of black hole and cosmic singularities.