This reply addresses a recent comment concerning the proof of the Nernst theorem. I clarify how a Carnot engine can consistently operate at T=0 through a continuous deformation of a cycle operating at T>0. By examining the limit where heat exchange with the cold reservoir vanishes, I show that the Nernst theorem ensures that the concept of temperature remains physically consistent at the absolute zero limit. SuppMaterial is a pdf animation showing the characterization of T=0 through a limit Carnot engine. The animation requires a pdf viewer with javascript enabled.
Jose Maria Martin-Olalla (Thu,) studied this question.