A theoretical interpretation of the observed periodicity of large-scale (∼128 Mpc) correlations of galaxies is proposed as due to eigenvibrations of the closed expanding universe. Eigensolutions of the equations of motion for a scalar field in an inflationary model allow one to compute the energy density, interpreted as matter density. Isotropic eigensolution give rise to a matter density distribution having a periodic structure centered at the north pole of the closed Robertson-Walker universe represented by S3/Z2. It is able to reproduce (...) well the striking periodicity of the observational data, in the galactic north-south directions. The dipole and quadrupole eigensolutions and the location of the co-moving observer in a point of S3/Z2 different from the center of the vibrational structure would imply, in a theoretically well predictable way, a decrease of the observed periodicity in some other directions. (shrink)

We consider the global structure of momentum space Π3, 1 in a field theory which is covariant with respect to the action of global conformal group G. We show that Π3, 1 is a homogeneous space for G which coincides with (S3×S1)/Z2 compact space. The radius of momentum space determines the natural invariant ultraviolet cutoff which may take the form of a Pauli-Vilars form factor in perturbation theory. We demonstrate in the case of the massless λφ4 theory how the conventional (...) ultraviolet divergences which appear in the flat momentum space are regularized in Π3, 1 global momentum space. (shrink)