There is a connection. How can any computation be done without moving information around? In absence of better measure, we can roughly estimate the computationa

There is a connection. How can any computation be done without moving information around? In absence of better measure, we can roughly estimate the computational complexity of a black box from looking on the input and output. If the brain's job could be hypothetically done by some optimized system using an picowatt is irrelevant. We don't have such a system.