From Singularity to Kerr–AdS Formation: Black Hole Core Stabilization via Quantum Torsion

Classical general relativity predicts that the interior of a rotating black hole inevitably leads to a singularity, where physical quantities diverge, and the theory breaks down. In this work, we investigate whether this outcome can be avoided in the Einstein–Cartan (EC) theory which naturally incorporates quantum spin and spacetime torsion.We show that the quantum-torsion response of the EC theory can balance the gravi-tational collapse at sufficiently small scales. Using a parametrized spin-density profile, we analytically and numerically determine the radius at which torsion pressure counteracts gravitational energy density, leading to a stable configuration.This stable equilibrium region exhibits the physical characteristics of a Kerr–Anti-de Sit-ter (Kerr–AdS) spacetime, where the cosmological curvature arises dynamically as a response to quantum vacuum energy. The solution avoids classical singularities and provides a viable internal structure for rotating black holes within the quantum gravity regime. This approach remains fully four-dimensional and does not require extra dimensions or holographic duality.