Could this be a reason why space happens to be 3 dimensional? Like, I don't know, maybe knots are somehow important to the structure of the universe and it couldn't exist with some other dimensionality? Whenever these "magic numbers" appear in math it always makes me curious.
I read that three-dimensional space is the only one where gravitational orbits are possible, because inverse-cube / inverse-linear etc. doesn't have orbits stable to minor perturbations.
