2 ms·
Remembered another one: gravitational orbits can't occur in 4D space or higher. In 3d space, we have inverse-square laws. Think of a light source, the area th
by rmidthun 9y ago
Remembered another one: gravitational orbits can't occur in 4D space or higher.
In 3d space, we have inverse-square laws. Think of a light source, the area that is covers at a given distance is the area of a sphere, so it makes sense that it would decrease with that area, or 4piR*R. Gravity is also inverse-square in 3D space (though relativity makes this much more complicated, I expect). Implication is that in a 4D space, it would be an inverse-cubed relation.
It turns out that stable orbits can only happen with inverse squared laws.
https://en.wikipedia.org/wiki/Bertrand%27s_theorem https://en.wikipedia.org/wiki/Bertrand%27s_theorem