When you jump does the world recoil downward?

No, when you jump, the world does not recoil downward. According to Newton's third law of motion, for every action, there is an equal and opposite reaction. When you push off the ground to jump, the ground exerts an equal and opposite force on you, propelling you upward. The Earth is much more massive than you are, so the effect of your jump on the Earth's movement is negligible.