<https://en.wikipedia.org/wiki/Spacetime#Privileged_character_of_3.2B1_spacetime>

[Does Coulomb's Law, with Gauss's Law, imply the existence of only three spatial dimensions?](https://physics.stackexchange.com/q/93/2451)

[Why are so many forces explainable using inverse squares when space is three dimensional?](https://physics.stackexchange.com/q/47084/2451)

This wikipedia article claims that the existence of inverse square laws (like Newton's Law of Gravitation) has a connection with the fact that our universe has three large scale spatial dimensions.

Can someone point me to some book/paper where this topic is treated in a detailed and formal manner?