  Equilibrium statistics of Hamiltonian systems is correctly described by the
microcanonical ensemble. Classically this is the manifold of all points in the
N-body phase space with the given total energy. Due to Boltzmann-Planck's
principle, e^S=tr(\delta(E-H)), its geometrical size is related to the entropy
S(E,N,V,...). This definition does not invoke any information theory, no
thermodynamic limit, no extensivity, and no homogeneity assumption. Therefore,
it describes the equilibrium statistics of extensive as well of non-extensive
systems. Due to this fact it is the fundamental definition of any classical
equilibrium statistics. It addresses nuclei and astrophysical objects as well.
S(E,N,V,...) is multiply differentiable everywhere, even at phase-transitions.
All kind of phase transitions can be distinguished harply and uniquely for even
small systems. What is even more important, in contrast to the canonical
theory, also the region of phase-space which corresponds to phase-separation is
accessible, where the most interesting phenomena occur. No deformed q-entropy
is needed for equilibrium. Boltzmann-Planck is the only appropriate statistics
independent of whether the system is small or large, whether the system is
ruled by short or long range forces.
