### Inverse-Square Laws: A Physical Consequence of the Geometry of Space

###### Written by Ian Kilgore in math on Wed 10 September 2014. Tags: physics, geometry, kant, math,

The ubiquitous inverse-square laws in physics are a necessary consequence of the three-dimensional nature of space. Barrow shows that Kant was the first to recognize the geometrical connection, although he got it backwards. I explain the geometrical reason for inverse-square laws and follow Kant's argument. Thanks, Kant. Thant.