  Recently is was shown that the imaginary part of the canonical partition
function of Schwarzschild black holes with an energy spectrum E_n = \sigma
\sqrt{n} E_P, n= 1,2, ..., has properties which - naively interpreted - leads
to the expected unusual thermodynamical properties of such black holes (Hawking
temperature, Bekenstein-Hawking entropy etc). The present paper interprets the
same imaginary part in the framework of droplet nucleation theory in which the
rate of transition from a metastable state to a stable one is proportional to
the imaginary part of the canonical partition function. The conclusions
concerning the emerging thermodynamics of black holes are essentially the same
as before. The partition function for black holes with the above spectrum was
calculated exactly recently. It is the same as that of the primitive Ising
droplet model for nucleation in 1st-order phase transitions in 2 dimensions.
Thus one might learn about the quantum statistics of black holes by studying
that Ising model, the exact complex free energy of which is presented here for
negative magnetic fields, too.
