Uberhoust
Fish Herder
But the person would still have mass. Ie if you weighed 200 lbs on the surface you would weight 0 lbs at the center, but if you had a mass of 100kg you would still have a mass of 100kg at the center.The weight of a persons body is 0 at the very center of the earth.
At the geometric center of the earth you would actually weight a small amount due to gravity from the moon and sun. These forces are not balanced at the center of the earth.
Anyone who has spent a long time on the ocean has seen evidence of the curvature of the earth. The tops of ships and islands always appear first and as you get closer the lower sections become visible.
Some humorous thoughts along a similar vein:
https://xkcd.com/913/ 30 million PSI at mantle, would need some pretty strong well casing.