So I was working on this concept for a sci-fi story and in this universe it uses a "warp" drive.
The Genesis Field is a supra-dimensional field that causes spacetime to be created or destroyed (explaining dark energy), based on the pole of the field. This field used in an interstellar drive works much like the "Warp" Drive but it would not be called a warp drive. Basically it destroys space in front of it and creates space in back of it. Matter is not destroyed though. Matter that is in the space that is destroyed moves probabilistically to the space that was in front of or behind the space that was destroyed. If the matter is in the space being "grown" the matter moves in much the same way.
Here's my question. In space, the density of matter is low enough to not cause a problem because any matter that gets into the field would not be enough to collect (at least I don't think so) and cause a problem either exiting the field at a rate equal or greater than the amount of matter that would enter. However, in an atmosphere this field would have all that air in it already and entering it from when it's traveling...
What you have then is the field is moving forward at or above light speed with all the matter that was in it coming with it, creating an empty space where it was while simultaneously you have some of the air from where it moved to is moved to inside the field, assuming it's half in/half and half the volume of the field is filled with the ship, then the density of the air doubles... while, again, simultaneously half the air from that volume it just pushed into is being moved forward possibly with a seeming velocity of c and this is all done at the speed of light. And then this is done continuously for whatever length of time the ship is in atmosphere or using this drive.
What would the effect of this happening be? Since the air displaced by the field is not getting energy from this "move" I'm of the thought that any air that gets brought into the field would get just sorta start gathering in the front of the field.
So to clarify, there are sorta 3 parts...
What is happening to the empty space left behind? Would air be rushing in? Would something like that be dangerous to Earth?
What would the effect of the air density in the front of the field increasing so fast be?
Similarly what would the effect of all that increase density air being pushed forward, but not having "energy" imparted into it be?
When I first realize the consequences of this idea in an atmosphere my guess is that it would possibly cause the air to ignite, but I have no idea.
Edit: There seems to be misunderstand from the 2 answer received. When the Space in front of the field is destroyed, the matter isn't so there needs to be someplace that it goes. This being the case it moves in any direction from where space was to where it is, to the closest it can reach. The result is not that half the matter moves to the other side of the ship's field, but rather goes inside the field, to the bubble volume that the ship is in.