This review article discusses the concept of entropy in statistical physics and its role as both a tool for inference and a measure of time irreversibility. It highlights the developments in stochastic thermodynamics and the principle of maximum caliber, emphasizing the importance of cross-talk among researchers in disparate fields.
Prompted by these conversations, a subset of us eventually wrote a paper on the foundations of equilibrium thermodynamics:
John Baez, Owen Lynch and Joe Moeller, Compositional thermostatics.