Combining gravity with the forces of the standard model on a cosmological scale
Résumé
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.
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PEER_stage2_10.1088%2F0264-9381%2F27%2F15%2F155008.pdf (611.41 Ko)
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