Clifford, Mach, Einstein, Wyle, Schrödinger all pointed out that only a wave structure of particles (matter) can conform with experimental data and fulfill the logic of reality and cosmology. I describe a quantum Wave Structure of Matter (WSM) that satisfies their requirements and predicts the origins of natural laws. This structure is a simple pair of spherical outward and inward quantum waves convergent to a center. The wave pair is the physical origin of the electron quantum spin, which results when the inward quantum wave undergoes spherical rotation to become the outward wave. These two waves are a Dirac spinor, thus this physical quantum wave structure satisfies the theoretical Dirac Equation. But it also forms the structure of the universe!