TL;DR
This paper discusses how certain global volume-weighted cosmological models can avoid or retain the Boltzmann brain problem, emphasizing issues with infinite volume ratios in eternal inflation scenarios.
Contribution
It introduces a natural version of the volume-weighted description that demonstrates the persistence of the Boltzmann brain problem, highlighting ambiguities in infinite volume ratios.
Findings
Some volume-weighted models avoid the problem if universe decay time >20 Gyr
The problem persists in a natural version of the model
Infinite volume ratios lead to ambiguities in predictions
Abstract
Linde in hep-th/0611043 shows that some (though not all) versions of the global (volume-weighted) description avoid the "Boltzmann brain" problem raised in hep-th/0610079 if the universe does not have a decay time less than 20 Gyr. Here I give an apparently natural version of the volume-weighted description in which the problem persists, highlighting the ambiguity of taking the ratios of infinite volumes that appear to arise from eternal inflation.
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