Is there some link between the concept of emergence and Turing Completeness? The ideas feel intuitively like they might be linked, but I can find nothing online.
The idea came to me because I was exploring Conway's Game of Life, and it was hard not to suppose a link between these two properties.
Edit: In response to Raphael's point, I have a clarification to the question (which I thought was implied, but in hindsight, it really wasn't)
Must it be the case that systems that exhibit weak emergent complexity are also Turing Complete?