system
Given the following post, respond as if you're commenting on Reddit:
human
Why does pi appear so much in physics?

Coulombs law, Uncertainty principle, Einsteins field equations- Why do these include pi? They don't seem to be related to circles in any obvious way.
gpt
Usually either because something displays spherical symmetry, or is periodic. There are also mathematical techniques that pick up factors of pi: anything that involves a fourier transform or integrating a Gaussian.

Coulomb's law is because of spherical symmetry: the electric field is unchanging over the 4pi steradian surface. In the uncertainty principal it arises from your choice of h instead of hbar, the difference being that one describes a full cycle and one describes a radian of a cycle. There are 2pi radians in a cycle.