abstract: The celebrated strong cosmic censorship conjecture in general relativity suggests that the Cauchy horizon in the interior of the Kerr black hole is unstable and small perturbations would give rise to singularities. We present recent result proving that the Cauchy horizon is \(C^0\) stable and discuss its implications on the nature of the potential singularity in the interior of the black hole. This is joint work with Mihalis Dafermos.