Bh. Lavenda et al., WHAT IS ENTROPY, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 110(4), 1995, pp. 433-439
In the absence of experimental facts to support the study of the origi
ns of the Universe and black holes, reliance must be shifted to theory
, especially thermodynamics. To superstring theories, dealing with the
unification of the four known forces during the evolution of the earl
y Universe, and black holes, the end product of gravitational collapse
, have been attributed rather peculiar thermodynamic properties such a
s lack of concavity, with the consequence of negative heat capacities,
non-extensivity. It has been proposed that superadditivity rather tha
n concavity constitutes the essence of the second law. Here we refute
such claims and show that concavity determines the natural evolution o
f thermodynamic processes.