Thanks for your input, those are very interesting ideas and you made a lot of connections that I didn't consider before.

To be honest it feels like we are seeing what we want in bitcoin, but it does respond to us with answers.

The idea of "crystalized past" (not subject to entropy - as long as hardware exists-), is indeed an disturbing idea that force us to adapt our views. Maybe a kind of paradigm shift as you seem to believe. Why not, I do see your point about "present multiples states" and "probabilities" and the link with quantum science. Though I am not a specialist at all, once again the links are beautiful.

Not so convinced about the difficulty as being a part of the "density" as in the analogy with the "ρCp" term. I would say that it is more linked to the radial energy. The more the difficulty, the more the density then. So density of microstates ? I dont know I'm lost.

At first I didn't quite understand what you meant with your "temperature of a block" idea. It still lacks of tangibility to me (if you have maybe an analogy or example of some sort that can be interesting). But i get that there is a relation between temp and distribution of energy and it is linked with the Boltzmann constant. But how does it relate to bitcoin ?

Maybe the answers lies in your question. My response would be.. that if the kb is the amout of energy to maintain a temperature of 1K, satoshis are a glue that maintain some energy.. i'm probably missing the big pictures and my head is exploding 😄