We present a particle model which was developed to explain special relativity by classical means. This model is also able to account for physical processes that are normally attributed to quantum mechanics. The model is able to describe several well-known QM processes by means of classical calculations, making them accessible to the imagination. An essential difference compared with the Standard Model of present-day particle physics is the fact that, in the model presented, particles are viewed as being extended rather than point-like. In addition, the strong force is shown to be the universal force operating in all particles. Also, the photon, which quantum mechanics views as being nothing but a quantum of energy, can be understood to have an internal structure. The model presented here is not merely a different way of explaining physics with similar results; in contrast to quantum mechanics, it has the ability to provide deeper insights into physical processes.