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arXiv · 1003.4246

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

Claus Gerhardt
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Abstract

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 $\SU(n)$, $n\ge 2$, 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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Claus Gerhardt. 2010-07-26. Combining gravity with the forces of the standard model on a cosmological scale. https://doi.org/10.1088/0264-9381%2F27%2F15%2F155008

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