  We study the natural extension of spacetime across Schwarzschild's central
singularity and the behavior of the geodesics crossing it. Locality implies
that this extension is independent from the future fate of black holes. We
argue that this extension is the natural $\hbar\!\to\!0$ limit of the effective
quantum geometry inside a black hole, and show that the central region contains
causal diamonds with area satisfying Bousso's bound for an entropy that can be
as large as Hawking's radiation entropy. This result sheds light on the
possibility that Hawking radiation is purified by information crossing the
internal singularity.
