In 3d when there is an electric current there is a magnetic field around it. The magnetic field around an electric current has an angular direction. If an electric current goes around in circles then there will be two magnetic poles perpendicular to the direction of the electric current. Electromagnetic Radiation has an electric field pointing in one direction, a magnetic field pointing in a direction perpendicular to the electric field, and the direction of movement is perpendicular to both the electric and magnetic fields.

In 2d if there was an electric current there would be no angular direction perpendicular to it so there would be no direction for a magnetic field. I was thinking that in 2d the equivalent of Electromagnetic Radiation would have only an electric field with the direction of movement perpendicular to the electric field.

In 4d if there was an electric current then it would be possible for there to be a sphere perpendicular to it and around it so I was thinking that in 4d the magnetic field around a current would cancel it self out so that there would be no magnetic field. If there was a charge with a double rotation in 4d then there would be no direction perpendicular to the double rotation besides outward so a rotating charge in 4d with a double rotation would have no magnetic field. I was thinking that in 4d there would be two equivalents of Electromagnetic Radiation. One kind would have an electric field that would point in all directions perpendicular to the direction of motion while the other would have an electric field that would point in one direction with the direction of motion perpendicular to the electric field and with a magnetic field pointing in all directions perpendicular to both the electric field and the direction of motion. Charged particles with a double rotation would produce the first type of radiation, while charged particles with a single rotation would produce the second type of radiation.