Similar to how spacetime is the means through which gravity exerts its influence, is there such an entity that allows electromagnetism etc. to do so?

Question

Similar to how spacetime is the means through which gravity exerts its influence, is there such a field/ entity through which electromagnetism operates? I got this question while reading 'The Fabric of The Cosmos'

Answer 1

Spacetime is to gravity as spacetime is to electromagnetism.

The tangent bundle of spacetime is to gravity as a principal $U(1)$ bundle of spacetime is to electromagnetism.

See another answer to which @ACuriousMind could have linked.