It would make sense to define terms if you are going to debate them.
Waves
There are two types of wave Longitudinal and Transverse. A Longitudinal wave requires a medium to travel though because energy is transferred as kinetic energy though the vibrations of particles. Transverse waves do not require a medium to travel through because they oscillate perpendicular to the direction of travel and the 'force' of energy is transferred by atomic interactions.
Light waves are part of the electromagnetic spectrum which also includes x-rays, gamma rays, microwaves, radiowaves, UV and IR.
The Photoelectric effect is one such atomic interaction where photons (individual discrete 'packets' of 'force' energy) interact with the orbiting electrons around an atom. The reaction is linked by the equation;
hf=[Phi]+0.5mv2
Where hf gives the energy of a photon because of its frequency, hence high frequency photons like UV light has more energy then low frequency photons like radiowaves have low energy. h is planeks constant and it is just a constant.
Phi refers to the work function of the material and is the base amount of energy required to undergo a reaction. The left over kinetic energy is movement given to the electron once it has been liberated from the outer shell.
The photoelectric effect does not 'prove' wave-particle duality, but is supporting evidence. The proof comes from the double slit interference pattern. You can look this up on wikipaedia or try it for yourself with a laser pen. No conspiracy here.
Observations made on Earth (both models) show that nuclear fusion must produce the light in the sun. Thankyou,
Genmotty