There’s probably some distribution of mass that would result in uniform gravity across the whole disk. I’m guessing there would need to be more mass near the edge to counteract the diagonal pull of the mass near the center on the area near the edge.
The problem is that in a flat plane with any amount of thickness, there will be always more mass diagonally than vertically, and it would still require a curve to evenly distribute the mass. I am by no means an expert on the matter, but from what I can recall, the only geometrical shape that allows for it is either a sphere or some complex hyperbolic curve, which is still not a plane.
There’s probably some distribution of mass that would result in uniform gravity across the whole disk. I’m guessing there would need to be more mass near the edge to counteract the diagonal pull of the mass near the center on the area near the edge.
The problem is that in a flat plane with any amount of thickness, there will be always more mass diagonally than vertically, and it would still require a curve to evenly distribute the mass. I am by no means an expert on the matter, but from what I can recall, the only geometrical shape that allows for it is either a sphere or some complex hyperbolic curve, which is still not a plane.