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It is both, the air molecules do physically move, they have to otherwise you would have to re write some new physics theories, then there is also the pressure waves which are on the same spectrum as sound waves, but the big boom won't really be a concern for most of us.
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The air molecule move, but they don't move from there to over there, they just move enough to bunch up against their neighbor, who moves over. In aggregate an acoustical wave. From the relativistic point of view of the moving vehicle, the air is blowing hard.
It's like when people say the wind blows, when the fact of the matter is it sucks.
I am sure The Template is based on some NACA profile; rather than go back through the thread, I'll just post this and go to bed.