  We consider the decoherence of a black hole "Schr\"odinger cat"- a non-local
superposition of a Schwarzschild black hole in two distinct locations - due to
the Hawking radiation it inevitably emits. An environment interacting with a
system acquires information about its state, e.g. about its location. The
resulting decoherence is thought to be responsible for the emergence of the
classical realm of our Universe out of the quantum substrate. However, this
view of the emergence of the classical is sometimes dismissed as a consequence
of insufficient isolation and, hence, as non-fundamental (i.e., for practical
purposes only). A black hole can never be isolated from its own Hawking
radiation environment that carries information about its location. The
resulting decoherence rate turns out to be given by a surprisingly simple
equation that, remarkably (and in contrast to known cases of decoherence), does
not involve Planck's constant $\hbar$.
