Through this site and others, I have learned that light waves do not have a charge, and that a light wave is a field with probabilities of where photons, are likely to be. My question is: When two coherent waves (fields) become "out of phase" what cancels to produce the dark fringes in interference patterns. There no charge to cancel. There's no physical wave to cancel. What is there to cancel? Do probabilities cancel? In my old classical view, interference made sense, but not in this new view of light. There must be some explanation as to how interference works in the quantum world.
Wavefuctions cancel out ,as the name suggest wavefuctions are solutions to a wave equation (The Schrödinger equation) so like any other solutions of a wave equation they can interfere. Wavefuction of a photon passes through the slits and interfere with itself and cancel out in some regions on the screen and add up in some regions .The regions where the wavefuctions cancel are very unlikely(even impossible if the wavefuction cancels out completely) to get hit by the photon. Now if you send so many photons like this ,a dark fringe will appear in the regions where wavefuction cancels and bright fringe will appear where the wavefunction get added