The Space of Physical Frameworks (Part 3)

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.

As a warmup, last time I explained a bit of thermodynamics. We saw that some crucial formulas involve Legendre ...