This post discusses the paper Compositional Thermostatics by John Baez, Owen Lynch, and Joe Moeller. The broader series of posts on Dr. Baez's blog offers a fuller primer on the paper's background, while this piece takes a more selective path through the framework.
Like those posts, this essay explains some parts of the framework in an introductory way. It also emphasizes a few details that seemed especially interesting to me and closes by treating a particular quantum system using ideas from the paper.