  We elaborate on the existing idea that quantum mechanics is an emergent
phenomenon, in the form of a coarse-grained description of some underlying
deterministic theory. We apply the Ricci flow as a technical tool to implement
dissipation, or information loss, in the passage from an underlying
deterministic theory to its emergent quantum counterpart. A key ingedient in
this construction is the fact that the space of physically inequivalent quantum
states (either pure or mixed) has positive Ricci curvature. This leads us to an
interesting thermodynamical analogy of emergent quantum mechanics.
