This seams to be something profound but I cannot follow it... Black holes have a great entropy, but it seams to me that they are not the states of greatest (total) entropy because they do evaporate. When a black hole evaporates, it converts the Schwarzschild spacetime into another spacetime. What is the resulting spacetime? My first guess would be that it is a (expanding) space with a homogeneous distribution of radiation. In such a case, how can we say that homogeneity is a state of low entropy when gravitation is taken into account?