How is it that the numbers we get for our equations describe the laws of physics so cleanly? As a good example, take the equation for gravitational attraction. The strength of the gravitational attraction is divided by the distance squared, AKA the distance x the distance itself. But r^2 seems like too perfect of a coincidence. Why wouldnt it be to the power of some random non whole number that reflected the randomness of the universe? i.e. r^2.02934 This means there must be something special and fundamental about whole number exponentials, but im not sure what it is or why it is. So why exactly is it that the distance is multiplied by itself exactly once in that equation, and many others?