Regarding the Pentagon video, the pilot was interviewed and described some of the incredible maneuvers the object performed. Obviously what the pilot saw was not a conventional aircraft. If this aircraft is man made, it probably didn't have a human pilot. The G forces from the maneuvers described by the pilot would most likely have killed any human in there. So, we're talking some sort of drone, with an incredible thrust to weight ratio, some sort of thurst vectoring, an airframe that can handle the stresses described by the pilot (like a ping pong ball, bouncing off a wall...) and probably a dozen other things I haven't considered.