Pawel Klimasara (University of Silesia, Poland)
We discuss the recently proposed model where LSS of spacetime is parametrized by the usual real line R, while at small (QM) scales space is parametrized by real numbers from RM. Here RM is the real line in certain model M of formal Zermelo-Fraenkel set theory. When passing from RM to R the set-theoretic forcing on measure algebra of R3 has to be performed. The "old" set of reals RM is merely a meager subset of R. Moreover, it has the Lebesgue measure 0. This irregular meager set of reals describes space at the Planck era. From the point of view of the enlarged by forcing model M[G] with the "new" reals RM[G], the set RM⊂RM[G] is irregular. We consider the possible role of these irregularities in the scenario where primordial quantum fluctuations lead to the subsequent structure formation. The effects of such irregularities on the eventual distortions in the CMB are also discussed.