The question reminds me of a paper I read: Causal Entropic Forces, sometimes referred to as 'entropic intelligence' but the basis is physics rather mathematics.

The question reminds me of a paper I read: Causal Entropic Forces, sometimes referred to as 'entropic intelligence' but the basis is physics rather mathematics. https://physics.aps.org/articles/v6/46 https://physics.aps.org/articles/v6/46 In this theory, intelligence is equivalent to maximising future possible states in a system. There are some interesting videos on YouTube about it as well.