Einstein's (well-respected) Theories of Relativity state that gravity is a "fictitious force" - i.e. one that does not exist - just like the centrifugal force:
http://en.wikipedia.org/wiki/Fictitious_forces#Gravity_as_a_fictitious_force"All fictitious forces are proportional to the mass of the object upon which they act, which is also true for gravity. This led Albert Einstein to wonder whether gravity was a fictitious force as well. He noted that a freefalling observer in a closed box would not be able to detect the force of gravity; hence, freefalling reference frames are equivalent to an inertial reference frame (the equivalence principle). Following up on this insight, Einstein was able to formulate a theory with gravity as a fictitious force; attributing the apparent acceleration of gravity to the curvature of spacetime."
General Relativity also states that, in reality, a person standing on the surface of The Earth is not at rest, but is, in fact, being accelerated upwards (with an accelartion of g):
http://en.wikipedia.org/wiki/Gravity#General_relativity"Einstein proposed that spacetime is curved by matter, and that free-falling objects are moving along locally straight paths in curved spacetime. These straight lines are called geodesics. Like Newton's First Law, Einstein's theory stated that if there is a force applied to an object, it would deviate from the geodesics in spacetime. For example, we are no longer following the geodesics while standing because the mechanical resistance of the Earth exerts an upward force on us. Thus, we are non-inertial on the ground. This explains why moving along the geodesics in spacetime is considered inertial."
Now ...
If I, standing on the ground in the UK in The Northern Hemisphere/disc, am being accelerated upwards by The Earth pushing up under me *and* my friend Andy in Australia in The Southern Hemisphere/disc, is *also* being accelerated upwards by The Earth pushing up under him ...
Then The Earth must be perfectly flat ...
Because if it *were* a globe (or even slightly bent), it would be either pulling itself apart or growing in size; both of which are, of course, nonsensical.
[Edit: correct typo's.]