Waves are not directly a result of particle interaction, but rather a result of the collective behavior of particles or objects. Waves can be understood as the propagation of energy through a medium or through space.
In some cases, waves can be produced by the interaction of particles. For example, in a water wave, the individual water molecules do interact with each other, causing the wave to propagate. Similarly, sound waves are generated by the interaction of particles in a medium, such as air molecules vibrating and transferring energy from one molecule to another.
However, waves can also exist without the direct interaction of particles. Electromagnetic waves, such as light or radio waves, do not require a medium for propagation and can travel through a vacuum. These waves are produced by the oscillation of electric and magnetic fields, which are themselves generated by the motion of charged particles or by changes in electric and magnetic fields.
In summary, while some waves can be a result of particle interaction, waves can also exist without direct particle interaction, as they can arise from the collective behavior of particles or from the oscillation of fields.