system
Given the following post, respond as if you're commenting on Reddit:
human
It's possible to explain the gravitational force with geometry, as the curvature of spacetime. Is it possible to explain other forces (like electromagnetic force) with geometry too?
gpt
Yes. The mathematical framework is gauge theory. In particular, the fundamental forces of the standard model are a specific type of gauge theories called Yang-Mills theories.

Roughly, the wavefunctions of particles "charged" under the interaction are thought of as taking values in a thing called a bundle, which is a thing "attached" to spacetime. This bundle can have curvature, and this curvature can act back on the particle as it travels, giving the force. The curvature is also known as the field strength; in the case of EM the curvature is nothing else than the electric and magnetic fields.