I don't think anybody is saying something will persist for eternity. The brain is made of 200bn neurons and something like a hundred trillion connections. That's the most complicated structure in the universe. It is reasonable to assume that there is no new physics involved unless and until we've figured out how it all fits together and still can't work out where the illusion of qualia is coming from. Otherwise you might as well say there's a supernatural soul. Positing a new ingredient without evidence is just fantasy.

Objects don't move, their wavefunctions evolve according to the Schrödinger equation, and in the classical limit where the objects are large enough and the fields they interact with are smooth enough, they appear to follow Newton's laws.