But in order to destroy a particle using destructive interference you’d need to ensure that there was nowhere left with any constructive interference. So, say you’ve got some kind of waves bouncing around (light waves, sound waves, particle fields, whatever), and you want to make new waves to cancel them out. They actively produce sound in such a way that they destructively interfere with sound waves coming from nearby, in the anti-headward direction. You can totally create a particle “dead zone”, assuming you know exactly what the particle’s wave form is. However, anything you try will end up adding more particles , and won’t destroy the particle you’re worried about anyway, just redirect it.