Electric current Updated +Created
In the context of Maxwell's equations, it is vector field that is one of the inputs of the equation.
Section "Maxwell's equations with pointlike particles" asks if the theory would work for pointlike particles in order to predict the evolution of this field as part of the equations themselves rather than as an external element.
Point particle Updated +Created
This idealization does not seems to be possible at all in the context of Maxwell's equations with pointlike particles.