I know we're heading to the edge of being OT, but as a one-time physicist, it's funny that you should conjecture about a connection between the second law and GR. The second law in its current formulation doesn't really have anything to do with GR, AFAIK. However, data-starved theorists can't sit around and do nothing, hence the exploration of
entropic gravity, which sounds kinda cool. Regrettably, doesn't actually seem to
apply to the universe we happen to be in.
I want to thank ggr, hacer, Familial Rhino, and others for explaining in clear language why my supposition the moon and Earth are bound to collide, is factually incorrect. Nonetheless the explanations for their divergence also posit increase in entropy so the second law is still involved, though not directly included in GR as noted above. I've had time to look at the two links above and also a refresher on Aristotle's categories of causal meaning, and a superficial glance at Prigogine's Nobel address since I vaguely remembered he posits an "entropy operator" at the microscopic level.
https://www.nobelprize.org/nobel_prizes/chemistry/laureates/1977/prigogine-lecture.pdf
Particularly interesting to a novice like me were a few paragraphs from his conclusion.
"[snip] One of the most important aspects of Einstein’s theory of relativity is that we cannot discuss the problems of space and time independently of the problem of the velocity of light which limits the speed of propagation of signals. Similarly the elimination of 'unobservable' has played an important role in the basic approach to quantum theory initiated by Heisenberg.
"The analogy between relativity and thermodynamics has been often emphasized by Einstein and Bohr. We cannot propagate signals with arbitrary speed, we cannot construct a
perpetuum mobile forbidden by the second law.
"From the microscopic point of view this last interdiction means that quantities which are well defined from the point of view of mechanics cannot be observables if the system satisfies the second law of thermodynamics.
"For example the trajectory of the system as a whole cannot be an observable. If it would, we could at every moment distinguish two trajectories and the concept of thermal equilibrium would lose its meaning. Dynamics and thermodynamics limit each other. [snip]"
I can barely understand this but I think it calls into question the validity of the critique of entropic gravity. I'm totally lost in Prigogine's math, however, but you guys, welcome!
What does this have to do with markets? We often see in both the General and Market roundtable laments about how irrational the market pricing of Tesla is. Also, there is abundant discussion of manipulation of perceptions which affect investing. The dialogue is often differences between short and long term perspectives. Thus understanding time and irreversible processes would seem to be appropriate.
Putting on my social science hat with a twinge of quantum understanding we cannot separate ourselves from what we are trying to understand. We are part of the apparatus.
As early as 1960 I worried in my master's thesis that social scientists need an uncertainty principle to measure the static created by the self-fulfilling and destroying prophecies. In our book I spend some time arguing we have to understand the physiological equipment we observers have which limits what we can "see" in the world. All perceptions are local to the perceiver so how can we adjudicate among them to ascertain "truth" about what we loosely call the "external world?" It seems to me now that what we call science is the best approach—a consensus of observers replicated in experiment. As is well known, it is a social function as C.S. Pierce noted in
Popular Mechanics in the 19th century. We need to understand the relation of mind to matter. There's perhaps a second law of thinking separating out the entropy of delusion (shorts) from a clear consensus on what the future portends. An equilibrium of consensus which we can call truth, bearing in mind the fact the universe at base is statistical and hence there is always some uncertainty
even black swans.
I want to elaborate further in a subsequent post or, ggr, can it stay here?
Edit: Some punctuation; bolded added.