If you consider that you hear sound (waves) carrying a certain frequency and amplitude, this sound has a total energy. Add anti noise to it and you add additional energy. Of course the energy has to go somewhere, while it propagates through air basically the air molecules carry it. Of course then it goes into your body. Wave Physics 101, you can look it up when you google for destructive interference.
Of course that's just Physics and not Biology/Medicine. I'd be curious to hear more about it.
Of course that's just Physics and not Biology/Medicine. I'd be curious to hear more about it.