I agree with most of what you are saying. The similarity is definitely not a physical one at an atomic level, but indeed at a very high level of abstraction.

I agree with most of what you are saying. The similarity is definitely not a physical one at an atomic level, but indeed at a very high level of abstraction. If we compare two computers running the same algorithm, one could be ARM, one could be using vacuum tubes. But if at a high-level of abstraction, they are running the same algorithm on the same inputs, they will yield identical results and not independent results. Similarly, I think the "algorithms" in our brains are very similar (or even identical) at some high level of abstraction.