The microcanonical entropy is multiply differentiable. No dinosaurs in microcanonical gravitation No special microcanonical phase transitions

The microcanonical entropy S ln[W E ] is the em geometrical measure of the microscopic redundancy or ignorance about the N body system. em Even for astronomical large systems is the microcanonical entropy everywhere em single valued and multiply differentiable . Also the microcanonical temperature is at all energies single valued and differentiable. It is further shown that the recently introduced singularities of the em microcanonical entropy like microcanonical phase transitions , and exotic patterns of the em microcanonical caloric curve T E like multi valuednes or the appearance of dinosaur s necks are inconsistent with Boltzmann s fundamental definition of entrop