The quantum theories of both gravity and electromagnetism require a recipe to specify how the constraint equations of the theory are implemented. Recently we argued that the standard procedure for implementing the Hamiltonian and momentum constraints in gravity and Gauss’ law in electromagnetism is unnecessarily restrictive. With a looser approach to quantization we find that, in the classical limit, a source for the non-dynamical parts of the field is generically present. These sources mimic the existence of pressureless dust -providing an explanation for the perceived dark matter in the universe.