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Why is the second law of thermodynamics kind of like group theory? And is there a simple way to understand why all reversible heat engines MUST have the same efficiency? 
Free Energy · Carnot heat engines and reversibilitySharing ideas and learnings in math, science, and tech
@Sunfishstanford It's always felt a bit unsatisfying to me that time's arrow is a statistical law more than a physical law in the context of thermodynamics. I much prefer the elegance of CPT-symmetry.