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"To make predictions for an eternally inflating multiverse

One must adopt a procedure for regulating its divergent spacetime volume

Recently, a new test of such spacetime measures has emerged: normal observers

Who evolve in pocket universes cooling from hot big bang conditions

Must not be vastly outnumbered by Boltzmann brains

Freak observers that pop in and out of existence as a result of rare quantum fluctuations

If the Boltzmann brains prevail, then a randomly chosen observer

Would be overwhelmingly likely to be surrounded by an empty world

Where all but vacuum energy has redshifted away

Rather than the rich structure that we observe

Using the scale-factor cutoff measure

We calculate the ratio of Boltzmann brains to normal observers

We find the ratio to be finite, and give an expression

For it in terms of Boltzmann brain nucleation rates and vacuum decay rates

We discuss the conditions that these rates must obey for the ratio to be acceptable

And we discuss estimates of the rates under a variety of assumptions." - Andrea De Simone, Alan H. Guth, Andrei Linde, Mahdiyar Noorbala, Michael P. Salem, Alexander Vilenkin, 'Boltzmann brains and the scale-factor cutoff measure of the multiverse' (2010)

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