  The classical thermostatics of equilibrium processes is shown to possess a
quantum-mechanical dual theory with a finite-dimensional Hilbert space of
quantum states. Specifically, the kernel of a certain Hamiltonian operator
becomes the Hilbert space of quasistatic quantum mechanics. The relation of
thermostatics to topological field theory is also discussed in the context of
the emergent approach to quantum theory, where the concept of entropy plays a
key role.
