I don't think it's flat to us. As a Christian I struggled with this a bit because the Bible clearly described the earth as a circle, thus implying that it is flat. But God showed me that those descriptions in the Bible are from a heavenly perspective.
As we know, God is above time, therefore He exists in at least the fifth dimension (though He's higher, my guess is that there's 12 dimensions, but I have no way to be sure). But basically, because He is above time, He looks down to earth over all of time. As we all know "time is a flat circle", so to God the earth, and all its time, is a flat circle.
But we operate in the 3rd dimension, so we can't experience all of time. So to us time is a sphere, we can only be at one location on its surface at any time. And this is exactly the same with earth. Therefore, it's a globe.
What's TDW?