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

TL;DR

The paper argues that microcanonical entropy singularities and complex caloric curves are incompatible with Boltzmann's entropy definition, challenging the existence of microcanonical phase transitions even in large astrophysical systems.

Contribution

It demonstrates that microcanonical entropy singularities and related phenomena are inconsistent with fundamental Boltzmann entropy, questioning prior claims of microcanonical phase transitions.

Findings

Microcanonical phase transitions are incompatible with Boltzmann entropy.

Singularities like 'dinosaur's necks' do not occur under fundamental entropy definition.

Large astrophysical systems do not exhibit 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.