Cosmological Measures without Volume Weighting

Details Cosmological Measures without Volume Weighting Cosmological Measures without Volume Weighting

2008-08-03

arxiv.org/abs/0808.0351v4

JCAP 0810:025,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, added references for constant-H hypersurfaces and also an idea for minimal-flux hypersurfaces

Scientific paper

10.1088/1475-7516/2008/10/025

Many cosmologists (myself included) have advocated volume weighting for the cosmological measure problem, weighting spatial hypersurfaces by their volume. However, this often leads to the Boltzmann brain problem, that almost all observations would be by momentary Boltzmann brains that arise very briefly as quantum fluctuations in the late universe when it has expanded to a huge size, so that our observations (too ordered for Boltzmann brains) would be highly atypical and unlikely. Here it is suggested that volume weighting may be a mistake. Volume averaging is advocated as an alternative. One consequence may be a loss of the argument that eternal inflation gives a nonzero probability that our universe now has infinite volume.

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