Quote:
Originally Posted by Jeff Root
I just thought of another geometry that might be a useful diagnostic.
Either of the following should work, so you can choose whichever is
easiest to handle: The force on a point at the apex of a cone (maybe
2 or 3 cones with different angles), or at the apex of a pyramid (2 or 3
pyramids with different angles). See how the force varies with angle.
-- Jeff, in Minneapolis
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Assuming a perfect point (perfectly sharp, that is) the force at the point is indeed infinate for all angles between (not inclusive) 0 and 180 degrees.
Bad analogy, though, as myself and others have been trying to explain in several posts. You can not get
anywhere near infinate gravity from a finite mass.
At best, your sharpest gravitational gradient would be experienced if you condenses all matter to a quark soup, a black hole, then measured the gravity on the surface of this quark soup (inside the event horizon, but on the surface of a glob of mass x, where x is the mass of the entire Milky Way, and of a radius r, such that the Milky Way's mass was condensed into quark soup of a sphere of radius r).