As a thought experiment to try to illustrate my question below:
If a fan was moving forward at the speed of sound but was rotating such that the low pressure created by the fan's rotation was equal to the high pressure from the impact of the fan moving through the air, would they in any way cancel out? I have been learning about sonic booms lately and am wondering. Why forward airplane air intake (ie compressors that pull in a large volume of air such as a jet engine does) are not used to create a low pressure zone in front of the aircraft?
I understand that it is the pressure change (N wave) that is the problem with the boom, a sudden up/down of pressure too close together. And it seems the boom itself is a result of a high pressure zone off the front of the craft and the main way scientist are trying to mitigate this effect is to "spread out the pressure change" across a longer smoother bottom of the craft.
Perhaps the amount or velocity of air one would have to intake, or energy required make this an impossibility, but I would love to know which part of physics is responsible for this not working. Or perhaps the shapes edges will still create enough boom that you cannot remove. Perhaps the turbulence or pressure now created behind the plane will make a sonic boom. Or many other things.
Any thoughts are appreciated!