The possible resolution of Boltzmann brains problem in phantom cosmology

We consider the well-known Boltzmann brains problem in frames of simple phantom energy models with little rip and big rip singularity. It is showed that these models (i) satisfy to observational data and (ii) may be free from Boltzmann brains problem. The human observers in phantom models can exist only in during for a certain period $t<t_{f}$ ($t_{f}$ is lifetime of universe) via Bekenstein bound. If fraction of unordered observers in this part of universe history is negligible in comparison with ordered observers than Boltzmann brains problem doesn't appear. The bounds on model parameters derived from such requirement don't contradict to allowable range from observational data.

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