  We show that most of cutoff measures of the multiverse violate some of the
basic properties of probability theory when applied repeatedly to predict the
results of local experiments. Starting from minimal assumptions, such as Markov
property, we derive a correspondence between cosmological measures and quantum
field theories in one lesser dimension. The correspondence allows us to replace
the picture of an infinite multiverse with a finite causally connected region
accessible by a given observer in conjunction with a Euclidean theory defined
on its past boundary.
