Setting aside relativistic limitations (the increasing amount of energy it takes to accelerate mass as it reaches the speed of light), you cannot place an object at an “infinite” height atop an infinite hill.
It doesn’t make sense in a real physical sense to say two objects are infinitely far apart. Two physical items cannot be literally infinitely far apart. As long as you’re talking about two real objects that exist somewhere in space, there is a finite amount of space separating them.
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