Abstract
We set up the Dirac equation in a Friedmann–Robertson–Walker geometry and separate the spatial and time variables. In the case of a closed universe, the spatial dependence is solved explicitly, giving rise to a discrete set of solutions. We compute the probability integral and analyze a spacetime normalization integral. This analysis allows us to introduce the fermionic projector in a closed Friedmann–Robertson–Walker geometry and to specify its global normalization as well as its local form.
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