When two beams of light intersect perpendicularly, they pass through each other without interaction, as photons do not interact with themselves under normal conditions. While photons can interact under specific circumstances, such interactions are rare and weak. The coherence of the beams does not affect their behavior in this scenario, as the field components are oriented incorrectly. Thus, the conclusion remains that perpendicular light beams will not influence each other. This reinforces the understanding of light behavior in physics.