- hep-th/0503117 by Kolb, Matarrese, Notari, Riotto
The paper has also been given a lot of attention in the media:
Everyone who is not a direct expert in these things should know that the community is highly skeptical about such a proposal - and in some cases, for example the case of Matias Zaldarriaga (a countrymate of most co-authors of that paper), stronger words than "skeptical" would be more appropriate. People seem to agree that whatever the very long wavelength fluctuations are, they are already included in the definition of the background itself. They cannot be a source of some additional local effects by locality - this very statement is, in my opinion, enough to reject the claim and more detailed calculations are unnecessary.An additional influence of other, unobservable patches of a "greater Universe" would have to involve a very non-local mechanism - one that we can't quite rule out, but one that violates the rules of local field theory drastically and that would have to be explained by a better, non-local theory. It is conceivable that there is some new kind of non-locality at astronomical scales, but it is one of those extraordinary claims that require extraordinary evidence - for example a working theory of quantum gravity that implies such a new effect.
Moreover, it is natural to expect that the acceleration in this framework would not be isotropic (it would not be independent of the direction because of an extra "dipole moment" and other moments) - something that contradicts the observations. Also, Éanna É. Flanagan has a very different (and perhaps too technical) argument in his today's paper:
where he considers a hypothetical Universe where the normal, shorter-than-Universe fluctuations are absent. This allows him to use a different, local calculation of the deceleration parameter. He can show that he can't get the observed acceleration unless the additional strange velocity added at the Hubble scale is huge, which seems to violate other observations.
At any rate, Éanna assumes locality, and with this assumption, it seems clear that the paper of Kalb et al. cannot be correct without the need for complicated calculations such as those of Éanna.