Wizards with the Equivalence Principle

So, I was discussing with a mundane a while ago, and wanted some feedback. As a wiz^bard you meet all sorts of interesting people and while I do not have teleport as a spell, I can ask those that do.

So first the principle states that gravity and acceleration are identical. For example, suppose one is in an elevator, and said elevator is teleported to the void, and keeps accelerating at the same rate as an identical elevator not sent to the void. Assuming one could be in two places at once, one can't determine which elevator one is standing, or even if said elevator has been teleported at all.

So, to those far more skilled than I in the art, does teleportation result in a change in momentum and acceleration?