IDK how gravity or topology works.
Well, first you have to get the elephants to stand on the turtle’s back
I was hoping to find this
The answer to your question is illustrated here in the first couple minutes of this old Vsauce video
Now, I’m confused. Does the magnitude of the gravity change or only the direction? Ooterness’s, linked physics analysis seem to show gravity would be super week near the edges. The video seems to suggest otherwise. Or maybe I’m just not understanding anything.
I’m almost certain that the pull of gravity would be weakest while standing at the center of the disc. The majority of the disc’s mass is distributed to your sides, acting evenly on you in all directions, so the net downward vector would be relatively weak.
Although gravity generally acts most strongly when you’re closest to the center of mass, that would surely no longer apply if you’re surrounded by the mass. Imagine there was a hollow space at the center of the earth. You could be at earth’s center of mass and experience no net gravity, since it would be pulling evenly on you in all directions.
Earth doesn’t have uniform gravity…
It’s mostly uniform. There is variation by location, but the maximum difference is +/- 0.7% from the nominal value of 9.8 m/s^2.
Here’s the full physics analysis. Check out Figure V.4.
TL;DR: It varies a lot. If the average gravity over the whole disk is 1.0, it’ll be 2.0 near the center and taper off to ~0.2 near the outer edge.