  Schwarzschild black-hole interiors border on space-like singularities
representing classical information leaks. We show that local quantum physics is
decoupled from these leaks due to dynamically generated boundaries, called Zeno
borders. Beyond Zeno borders black-hole interiors become asymptotically silent,
and quantum fields evolve freely towards the geodesic singularity with
vanishing probability measure for populating the geodesic boundary. Thus Zeno
borders represent a probabilistic completion of Schwarzschild black holes
within the semiclassical framework.
