In Part 1, I explained how statistical mechanics is connected to a rig whose operations depend on a real parameter 
and approach the ‘tropical rig’, with operations 
and 
as 
I explained my hope that if we take equations from classical statistical mechanics, expressed in terms of this -dependent rig, and let 
we get equations in thermodynamics. That’s what I’m slowly trying to show.
This is a companion discussion topic for the original entry at https://johncarlosbaez.wordpress.com/2024/09/11/the-space-of-physical-frameworks-part-3/