Gravity

[PatrickPowers]

Ed Witten says the (approximate) 1/d^2 rule of gravity in general relativity comes directly out of there being three spatial dimensions. So we could expect in N D that the rule is 1/d^(N-1).

[New Kid on the 4D analog of a Block]

They were discussing this before, or sometimes just assuming it. In fact, you were involved in the first discussion, although it was five years ago.
viewtopic.php?f=27&t=1695&p=26208&hilit=distance
viewtopic.php?f=27&t=2324&p=26384&hilit=distance
viewtopic.php?f=27&t=2546&p=27889
You made the interesting point that even in 3D, not all forces obey an inverse-power law.

[PatrickPowers]

That's true. But Ed Witten is the smartest man in the world so I pay attention to him.