Extension of the universal remnant identity to other quantum-gravity models

Establish whether the identity \(\mathcal{R}\,\mathcal{U}\,M_{\rm remnant}=(D-3)/2\) extends to other quantum-gravity-inspired models, including asymptotically safe gravity, in order to determine whether it is a model-independent relation rather than a feature specific to the loop-quantum-gravity-corrected black-hole construction.

Background

The paper derives the identity $\mathcal{R}\,\mathcal{U}\,M_{\rm remnant}=(D-3)/2$ for its higher-dimensional loop-quantum-gravity-corrected black holes. Here $\mathcal{R}$ is the effective charge-to-mass ratio combination, $\mathcal{U}$ is the universal extremality response to a deformation of the quantum parameter, and $M_{\rm remnant}$ is the zero-temperature remnant mass. The relation is verified analytically and numerically for the dimensions studied.

The authors explicitly note that determining whether the same identity holds in other quantum-gravity-inspired frameworks—particularly asymptotically safe gravity—would test whether the relation reflects a broader universality across quantum-gravity models or is tied specifically to the present construction.