Dear Luca,
I see we have similar ideas on the nature of time (the past is factual, the future is possible). I find this same kind of time structure both in math/logic and in physics, though I consider these two time flows as only similar but independent of each other. More precisely I consider this time structure of physics as a result of the time structure of consciousness. I explained this in details, and how it gives a coherent interpretation of quantum physics, in my essay.
You ask "How is evolution possible despite the increase of entropy?". There is no mystery here: entropy is continuously created on Earth but then moved away and "accumulated" as infrared radiation in the intergalactic space.
I also added your essay to the list of interesting essays in my review.