The Origin of the "Particle Nature" of Light — How a Continuous Transverse Wave Manifests Discrete Behavior when Coupled to Matter

Quantum field theory describes the particle nature of electromagnetic radiation using the "photon," but has never explained why a fundamental particle exhibits such perfect wave behavior. This paper provides a complete alternative explanation: the photoelectric effect, Compton scattering, and antibunching experiments — landmark experiments considered proof of photon particle nature — require no photon concept. Quantization is not a property of light itself, but of the discrete energy level structure governing how bound electrons emit and absorb energy. Light remains a continuous transverse wave; discreteness results from electrons as "prisoners" in atomic "cages" that can only transition between specific energy steps. Waves propagate continuously and are emitted and absorbed in quantized form — the photon is not a particle, but the name of an energy-exchange event.