Resolution of black hole singularities

Determine a specific, consistent mechanism that resolves the curvature singularities inside black holes predicted by general relativity, and characterize how the singular region is avoided or replaced by a regular spacetime within a quantum gravitational description.

Background

General relativity predicts the formation of curvature singularities inside black holes, signaling a breakdown of classical physics. A widely held view is that a quantum theory of gravity is required to address and potentially resolve these singularities.

The paper revisits Wheeler–DeWitt (WDW) quantization for black hole interiors and examines higher-curvature corrections within an effective field theory framework, arguing that true resolution necessitates ultraviolet (UV) physics beyond low-energy GR. The broader, foundational problem of singularity resolution remains explicitly acknowledged as open.

References

The resolution of black hole singularities remains one of the central open problems in theoretical physics.

— Higher curvature corrections to the black hole Wheeler-DeWitt equation and the annihilation to nothing scenario  (2512.10272 - Kanai, 11 Dec 2025) in Section 1 (Introduction)

In this context, one would need to incorporate all the higher order $\kappa$-deformed corrections terms and employ non-perturbative approach to investigative whether the $\kappa$-deformation also leads to singularity resolution or not.

— Joule Thomson expansion of $κ$-deformed Schwarzschild-AdS black hole  (2608.22791 - Rajagopal et al., 24 Aug 2026) in Section 2, immediately following Eq. (2)