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Loop quantum gravity's path integral approach tames black hole singularities

Juan Carlos Del Águila, Hugo A. Morales

May 20, 2026

Using path integral methods borrowed from loop quantum cosmology, the authors derive quantum corrections to the gravitational equations governing spherically symmetric black holes in vacuum. With inverse triad corrections alone, the interior singularity survives mathematically but stops cutting off geodesics — meaning infalling observers' paths no longer terminate abruptly. Holonomy corrections hint at full singularity resolution, suggesting loop quantum gravity could patch the central breakdown that classical general relativity leaves unresolved.
Published as Effective spherical symmetry in Loop Quantum Gravity: A path integral approach arXiv:2605.20814
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