So Einstein stated that gravity and acceleration are the same things in a local reference frame (please correct me if I misstated that).
Here is what I think I understand and want you to verify if it is correct:
In Special Relativity, the faster you go, the more time dilation and length contraction an outside observer sees you experience.
In General Relativity, the closer you are to a mass, the more time dilation an outside observer sees you experience.
Because gravity and acceleration are the same thing, does that mean that the time dilation when near a gravitating mass is the same time dilation as when you are at a very high speed? Are these two things connected/the same?
And does this prove that gravity and acceleration are the same thing (at least locally)?
Extra question: when you are near a gravitating mass, does an outside observer see you as length contracted too?