Driving on I-95 at 12:40 a.m. from Waterville to Augusta near Sydney Maine. Had a single light, not bright, suddenly appear behind us out of nowhere and started following us. The light was in the center of my rear view mirror. As I watched the light, thinking this was a motorcycle, it followed us for about a minute before I watched it move over coming in view of my side mirror. I was going to tell my passengers to check this guy out on the motorcycle and suddenly the light vanished. I freaked out and started asking my passengers if they see anything behind us and nothing. No highway lights work lights, construction nothing around.