Abstract Underlying the classical thermodynamic principles are analogous microscopic laws, arising from fundamental axioms of quantum mechanics. These define variables such as work and heat characterize possible transformations open systems. The foremost law is a simple statement concerning conservation energy. Nevertheless, there exist ambiguity disagreement regarding precise partition system’...

We show that the first law for rotating Taub-NUT is straightforwardly established with surface charge method. The entropy explicitly found as a charge, and its value not proportional to horizon area. conclude there are unavoidable contributions from Misner strings charges, still, mass angular momentum gets standard values. However, no independent charges associated strings.