The discussion explores why magnets do not visibly interfere with light, despite light's magnetic field component. It highlights that photons, which are not charged particles, do not interact with magnetic fields in empty space, adhering to the superposition principle where waves merely sum together without interaction. The Faraday effect is mentioned as a phenomenon where magnetic fields can affect light, but only in specific materials, not in a vacuum. The conversation also touches on the significance of the vector potential in quantum electrodynamics (QED), suggesting that photons can interact through virtual particles, though this interaction is not typically observable in everyday scenarios. Overall, the consensus is that while magnetic fields can influence light under certain conditions, they do not do so in a straightforward manner in empty space.