No dinosaurs in microcanonical gravitation: No special "microcanonical phase transitions"

Abstract

It is shown that the recently introduced singularities of the microcanonical entropy like "microcanonical phase transitions", and exotic pattern of the microcanonical caloric curve T(E) like multi-valuednes or the appearance of "dinosaur's necks" are inconsistent with Boltzmann's fundamental definition of entropy S=ln[W(E)] for a system at equilibrium even for extremely large systems as astro-physical ones.

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