Comment Re:So Many Questions (Score 1) 303
I don't see how adding another dimension can magically allow two objects to become linked when they were unable to be linked in a lower dimension. Two circles on a piece of paper cannot physically merge with each other if you assume their boundaries are solid and cannot pass through each other.
You're right, they can't. But the video shows 2 rings in 3d. And those rings don't close on one of the dimensions.
In 2d, a circle is closed, spanning the 2 dimensions. In 3d, a ring is closed in 2 dimensions, but isn't "closed" in the other, so you can use the 4th dimension to link 2 rings.
So, to get an example similar to the video in 2d you might think of 2 (infinite) lines that you have to move past each other. Adding a 3rd dimension makes this trivial.
On the other hand, a circle in 2d is a sphere in 3d, so trying to link 2 circles in 2d is equivalent to trying to link 2 spheres in 3d, which isn't what the video shows.
PS. My manifold knowledge is very rusty, so what i'm saying might be totally wrong. It makes sense to me though.