whenever I heard of the "wave-particle" duality of photons, I always thought they existed as a weird combination of physical waves and particles.
Since finding about De Broglie wavelengths and matter waves, however, I have learnt that the "waves" in quantum mechanics are actually probability waves; the oscillations are actually of the real and complex components of the waves function and not of some physical quantity.
however, isn't the oscillating quantity for electromagnetic waves the electric and magnetic field. Are electromagnetic radiation "waves" of probability or real physical waves? Is the waves nature of photons fundamentally different than that of matter?