Résumé
Motivated by the quantum description of gauge theories, we study the
cosmological effects of relaxing the Hamiltonian and momentum constraints in
general relativity and Gauss' law in electromagnetism. We show that the
unconstrained theories have new source terms that mimic a pressureless dust and
a charge density that only follows geodesics. The source terms may be the
simplest explanation for dark matter and generically predict a charged
component. We comment that discovery of such terms would rule out inflation and
be a direct probe of the initial conditions of the universe.