hi everybody.
here I present an argument which I've just come to.
the basic question is: is the compact topology consistent with the inflation. my argument point out that there is a chance that the answer could be not necessarily :)
well, one of the prominent predictions of the compact topology is that the power spectrum of fluctuations should have a cut off at some topological size scale since the size of the fluctuations must fit into the the finite size of the fundamental polyhedron. eg. some wavenumber k and some related with it distance - corresponding to some eigenmode of the gravitational potential must be smaller than the size of the fundamental domain.
On the other hand the inflation predicts that the eigenmodes of the gravitational fluctuations are independent from scale and yield gaussian distribution. this is inconsistent with the compact topology idea, isn't it ?
what do you think about it, Boud, anybody ?
pozdrawiam, Bartek