by wendy » Fri Jun 21, 2013 7:16 am
The usual model for radiant fields like gravity and magnetism is to use flux. Flux drops off with the surface of the sphere.
On the other hand, one should note that uniformly dense points increases with the surface of the sphere. One can use this to prove a black sky implies a finite universe, since the light from any given shell will give the same number of lumens, and that an infinite number of populated shells gives an infinite number of lumens.
Gravity in 4d, works, but the nature of an inverse-cube law is that elliptic orbits or any non-circular orbit, is not stable, and planets on a non-stable orbit, would be thrown from the sun.
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