  Quantum-gravity corrections to the probability of emission of a particle from
a black hole in the Parikh-Wilczek tunneling framework are studied. We consider
the effects of zero-point quantum fluctuations of the metric on the emission
probability for a tunneling shell. Quantum properties of the geometry are
responsible for the formation of a "quantum egosphere" whose effects on the
emission probability can be related to the emergence of a logarithmic
correction to the Bekenstein-Hawking entropy-area formula.
