Analysis of the Cosmic Microwave Background (CMB) Anisotropy Spectrum on the Basis of its Transformation into Reciprocal Space

A formalism of solid state physics has been applied to provide an additional tool for the research of
cosmological problems. It is demonstrated how this new approach could be useful in the analysis of
the Cosmic Microwave Background (CMB) data. After a transformation of the anisotropy spectrum of
relict radiation into a reciprocal space it was possible to propose a general description of the
interaction of relict photons with the matter by a “relict radiation factor”. This factor enabled us to
process the transformed CMB anisotropy spectrum by a Fourier transform and thus arrive to a radial
electron density distribution function (RDF) in a reciprocal space. As a consequence it was possible to
estimate distances between Objects of the order of ~102 [m] and the density of the ordinary matter Ω
~ 10-22 [kg.m-3]. A complementary analysis based on a direct calculation of the CMB radiation
spectrum transformed into a simple reciprocal space and based on appropriate structure modelling
confirmed the Cluster structure of the matter. In our model the Objects (distant 102[m]) are formed by
Clusters (distant ~10-1[m]), whereas the internal structure of a Cluster consists of Particles (their
mutual distance is ~0.3 [nm]). As a consequence the work points in favour of clustering processes
and to a cluster-like structure of the primordial matter in the moment when the universe became
transparent for photons. On the basis of our quantitative considerations it was possible to derive the
number of Particles (protons, helium nuclei, electrons and other Particles) in Objects and Clusters and
the number of Clusters in an Object. Simultaneously an estimate of Particle, Cluster and Object
velocities indicated that Objects are in the moment of their formation a relatively stable formation.