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.
We measured both undirected FC (correlation in the time domain, coherence in the frequency domain) and directed FC (Granger causality, in both time and frequency domains) on the same data.