I'm wandering if inflation scenaries of cosmological evolution, discriminate the possibility for non trivial topology of the universe (eg. some torus topology) of circumference smaller than the hubble radius. I had short talk about that with Boud but perhaps it was too short. If I understand well, in case of such non trivial topolology, there should be some, outstanding (special) directions in the CMB sky seen in multipole distribution just for the few lowest multipoles (on the biggest anular scales). On the other hand, one of the predictions of the inflationary models is that fluctuations in gravitational potetial ( in the biggest angular scales ) are gaussian and have random phases - so there should be no outstanding directions in CMB. (So far there is no evidence for deviations from gaussianity). To me these two things are contrary to each other. Mae they exist together ? Can anybody shed some light on this ? Another thing is about the size of the universe. I mean, how it is possible for the universe to have topological circumferece smaller than (for example) the hubble radius, when we assume that every distance has been blown by the factor of 10^54 ever since the world begun ? Or maeybe these two facts also remain without any mutual confict ?
bartek