Today a very unconventional cosmological model has been proposed: http://arxiv.org/abs/1303.6878 Title: A Universe without expansion Abstract: We discuss a cosmological model where the universe shrinks rather than expands during the radiation and matter dominated periods. Instead, the Planck mass and all particle masses grow exponentially. Together with a preceding inflationary phase and a late dark energy dominated epoch this model is compatible with all observations. It has no big bang singularity. There exist other, equivalent choices of coordinates or field variables for which the universe shows the usual expansion or is static during the radiation or matter dominated epochs. Predictions of this model for primordial density fluctuations created during inflation concern a spectral index n=0.97 and a tensor to scalar ratio r=0.13. What do you think?