I will show that the quantum field theory that reproduces classical general relativity, has a slight but nontrivial generalization. The Hilbert space allows for states that violate some of Einstein‘s equations without creating additional degrees of freedom. This amounts to a “classical background“ which is non-dynamical, but effectively redshifts like dark matter. I will go over a toy example, as well as the electromagnetic analog, which includes the violations of Gauss’s law. Then I will produce the modified GR equations with a source term. Finally, I will discuss some preliminary thoughts of the provocative phenomenology.