Yes, I, too, noticed the parallels to relativity. But there is absolutely no reason it should occur here. Just because you are at a greater distance from the center you don't miraculously accelerate close to the speed of light (which would result in a distortion of time similar to what you described). There is not the tiniest bit of evidence to support that this is the case.
(On another note, it's still impossible to make time stop completely. As I said, the only way to accomplish slowing time by means of relativity is moving with a velocity close to c. Time will move slower, but it still won't stand still, because that is only the case when moving not close to, but at the speed of light - which is impossible for anything that has mass afaik.
That means, even if there was a magical border zone where time slowed, since time can't stand still for you, you would have no problem moving forward, since a point where "t=0", as you put it, cannot exist.)
I put all this in brackets because it is irrelevant - time doesn't slow at all under anything but extremely high speeds (0.1c), and relativity clearly does not apply in this case. If you want to assert that there is a zone on Earth where time for some reason flows much, much slower than elsewhere, the burden of proof is entirely on you.