This still does not answer what you mean with »time is a local phenomenon«. What feature of time is local and in which sense? And I am even more skeptical about

This still does not answer what you mean with »time is a local phenomenon«. What feature of time is local and in which sense? And I am even more skeptical about »space is a local phenomenon«, I mean »local« means »close in space« and therefore it seems you are saying something recursive, i.e. space has some property within itself which doesn't really make sense, at least to me. So unless you can define or at least explain in more detail what you mean with »time (or space) is a local phenomenon«, we won't really get anywhere.