The assumption that angular momentum is quantized underpins all of quantum theory. The assumption is at best questionable and most likely false since it violates the tenets of the scientific method.A new model is proposed for the hydrogen atom which does not rely on this assumption and is based instead on a combination of a sampling process and special relativity. It is postulated that certain orbital velocity terms are themselves affected by relativity. This leads to a planetary model for the atom in which the electron orbits at near light speed and at a constant radius independent of energy level, thus obviating the need for changes of radius with energy level and the attendant changes in potential energy. The atom is no longer seen as a nebulous cloud, but as a particle in the conventional sense.The model provides explanations for many of the incomprehensible phenomena associated with current theories. The dynamics involved are recognizably those of Newton and Einstein. It provides a simple mechanical explanation for the discrete energy levels of the atom, why synchrotron radiation does not occur, the nature of the fine structure constant and of zero point energy and the reason why Planck’s constant is a constant. It does so under a single set of physical laws and so effectively unites classical and quantum mechanics.