Probability waves and electromagnetic waves are fundamentally different, with the former related to quantum mechanics and the latter to classical physics. While both exhibit wave-like behavior, a photon as an electromagnetic wave cannot be accurately described by a Schrödinger wave function, which is a scalar field. The discussion highlights confusion surrounding particle-wave duality, emphasizing that light behaves both as a wave and a particle, but this duality does not imply a direct relationship between electromagnetic waves and wave functions. The conversation also touches on the complexities of quantum field theory, noting that photons interact with charges but do not have well-defined positions. Ultimately, the consensus is that electromagnetic waves and probability waves share little beyond their nomenclature.