Description
We consider the curvaton scenario applied not only to the observable patch of the
Universe, but to the entire Universe. On the scales of the entire Universe the
homogeneous component of the curvaton field $\sigma_{0}$ is a random value with a probability distribution that we can compute. The entire Universe is pictured as a ``curvaton landscape''. We show that the non-linearity parameter $f_{NL}$ is
different in different regions of the Universe depending on the distribution of
$\sigma_{0}$.
We can then calculate the probability distribution of the $f_{NL}$ parameter for the
entire Universe. This has implications for the probability of observing
non-Gaussianity within our patch in the curvaton scenario.