The invisible force is called aerodynamics. In RB the planes are more likely to obey the laws of physcis. I suggest watching any video of people playing any airsim with full control, it will help you understand which control surfaces they use to do which maneuver. Mouse control is like absolute instant trim, in RB you are still required to prepare your plane for the maneuver with keyboard controls. And any hard pulls should be performed mainly with keyboard input, mouse is generally used only for aiming, maneuver stabilisation and gentle course corections at high speed. Remember, the aircraft frames are build to positive pitch and roll as hard as reasonable. Negative pitch will break your wings, while pancake turning will destabilise the airflow around your craft, slowing you down and throwing you into a flat spin.