Feynman's statement about center of universe reflects main stream ideas about
cosmology. He's just repeating what has been held true for a long time. The
Cosmological Principle or Copernican Principle is what he is talking about. The
Principle says there is no special place in universe---same everywhere. Same
appearance, same laws, ----everything
equal. This means earth is not a priviledged place.Forget about using logic
to say anything else. For example it cant be proven earth is not center of
universe.
It cant be proven earth moves. It's not possible to show anything has absolute
motion. There are an infinite number of solutions to motion in solar system
(each one just as true as any other).
No centers for universe---just lots of places
that look the same. Where did "big bang "
take place? It took place everywhere.
No special places.