See, there are clear distinctions in the way a purely thermodynamic model evolves over time, and the way an evolutionary model does the same.
I'll have a go at describing what Pross has to say (
paper here):
i) Convergence towards a thermodynamic sink, is where a closed system ceases to undergo further change, and at that point, the system achieves a thermodynamically stable equilibrium
state. We can
predict where a regular chemical system is headed from known historical precursors (i.e., in a convergent direction toward its thermodynamic sink), but we cannot retrace from that sink point, to 'post-dict' what those precursors were.
Then we have;
ii)
Divergence, in replicator space, from a single common dynamic stability, which is based on
change, as opposed to
lack of change. There is no single, unique pathway to subsequent values. The divergent topology here however, allows retracing of pathways back to a common ancestor (eg: LUCA - as is evidenced by the fossil record), but (so far) prevents prediction of where any one of the multiple evolutionary pathways into the future, will
necessarily end up.
In case (i) above, thermodynamic stability, being a
state function, is independent of factors extraneous to the system, (ie: its closed), whereas the dynamic kinetic stability (DKS) of physical, chemical and biological systems (ie: more 'open'), may be dramatically affected by changing physical circumstances. (This is where already critically poised, 'edge of equilibrium' systems can introduce unpredictable outcomes).
The difference is significant. Thermodynamic stability can be
quantified because it is
state based, (and can have state functions assigned). Dynamic Kinetic Stability is
circumstantial .. it cannot be formally quantified, and can only be assessed in a qualitative way, because it is determined primarily by factors external to the system.
I think traditional classical physicists might find this view somewhat dissatisfying(?) It comes from the biology side, but the behaviour is still evident in less complex systems (eg: moving bicycles remain upright, rivers and fountains flow, new water replacing old, yet those rivers and fountains appear unchanged, etc).
His various papers are mainly about describing the above model topological distinctions .. but the perspective looks to give cause to look more closely into the current physical universe principles of thermodynamic view of the universe, (IMHO).