Dear Alfredo Oliveira,
Thank you for your gracious remarks. You note that our essays complement each other, and I agree that each overlaps in ways that expand the topic. You discern 'intelligence' in the universe, and begin by clarifying the concept of intelligence. Whereas I define intelligence as consciousness plus logic, you exclude consciousness and define intelligence as "the ability to solve a new problem".
First you do assume 'mind' and note that the easiest way to find a solution is 'table lookup': you already possess the answer - find it. The problem arises when no previous solution exists; the problem is new. You then formalize 'wandering to a goal' in terms of 'generating hypotheses' and 'selection processes'. The intelligence involved in solving new problems then consists of generating hypotheses (potential solutions) and applying a selection process (does it solve the problem?) Generators of hypotheses can be random or algorithmic. "Physical" intelligence favors random variation or mutation, while "physical" selection is Darwinian survival. Thus at the basic level of matter you defined "intelligence" and demonstrate its presence. Interestingly you do not claim that this leads to consciousness, merely that it exhibits intelligence as an inherent aspect of the universe.
Of course a very large part of your solution is keyed to the fact that as the systems of particles grow larger and acquire more degrees of freedom, they expand the repertoire of potential 'hypotheses', while at the same time acquiring a greater susceptibility to temperature. You weave these threads together exceedingly well.
My definition of intelligence related more to mental aspects as indicated by the definition: consciousness plus logic. The consciousness represents awareness of the problem. The logic enables algorithmic constructions, counting, and comparison. The consciousness must be aware of the 'match' of solution to problem. And the awareness of 'match' of solution to problem in mental space is analogous to 'survival' as solution to the problem in physical space.
So I agree with you that our essays complement each other in a significant way. I enjoyed the many details in your essay, linked to the concept of expanding space [I didn't realize the moon had been shown to have an expanding orbit. I guess those laser reflectors we left there have paid off.] In other words I enjoyed your entire essay, but I most enjoyed your working definition of intelligence without invoking consciousness.
My very best regards,
Edwin Eugene Klingman