Combining gravity with the forces of the standard model on a cosmological scale

Overview & Synopsis

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the underlying spacetime is a Friedman universe with flat spatial slices and where the matter fields are comprised of the strong interaction, with SU(3) replaced by a general SU(n), n ≥ 2, and the electro-weak interaction. The wave functions are maps from R 4n+10 to a subspace of the antisymmetric Fock space, and one noteworthy result is that, whenever the electro-weak interaction is involved, the image of an eigenfunction is in general not one dimensional, i.e., in general it makes no sense specifying a fermion and looking for an eigenfunction the range of which is contained in the one dimensional vector space spanned by the fermion.