Suppose that we are not allowed to use the notion of force to describe nature.
My understanding of general relativity says that won't be a problem because the Einstein field equation doesn't involve a gravity force. A freely falling particle follows the path of a geodesic in spacetime.
Also my understanding of quantum field theory shows that in particle physics when calculating the Feynman diagrams what is involved is the exchange of off mass shell particles in an interacting theory.
Now the first question is that if we can use these virtual particles not only in particle scale but also at the scale of two charged objects and therefore discard the notion of an electric "force" without much trouble.
The second question which is related is if we can learn and teach modern physics theories, in principle, without the notion of "force" at all?
Imagine pushing or pulling an object, for instance. Can we describe the motion without invoking "forces", in particular, in dynamics as opposed to kinematics.
If not and we need forces, what are the benefits involved, say simplifications, given the fact that underlying theories do not require it and they are not fundamental?