Antigravity is not only real, it is common. In fact, once you understand it, it becomes obvious. You see, according to Albert Einstein, grafvity is not a force that pulls you down. It is a warping of space. Wherever there is matter of any size there is a warping of space. That changes the shape of both space and time so that, in combination, they direct your motion toward the center of the Earth - both in space and in your time direction. The time factor is at least as important as the space factor in determining your physical direction.
All you have to do to cancel this out is to UNWARP that space. The way you do it is simple. Introduce another massive body into the vacinity that smooths space out by warping it in the opposite direction. Somewhere between the Earth's warping of space and the Moon's warping of space, the warp of space is, once again, flat. Someone positioned in that flat space is not affected by either planet's warp because that is where the warp is cancelled out. Space is flat so there is no "gravity" to cause someone to move toward either object.
Since we all are made of matter, we, also, have a tiny bit of space that we warp. So you are always in the state of either causing space to warp or unwarping space that is warped in your immediate vacinity. Hence, antigravity is common.
