Transformation of the angular power spectrum of the Cosmic Microwave Background (CMB) radiation into reciprocal spaces and consequences of this approach

TL;DR

This paper introduces a novel approach applying solid state physics formalism to transform CMB anisotropy spectra into reciprocal space, revealing clustering and structural details of matter in the early universe.

Contribution

It presents a new method for analyzing CMB data using reciprocal space transformation and a relict radiation factor, uncovering clustering phenomena and matter distribution.

Findings

Identification of clustering processes in matter structure

Estimation of distances between cosmic objects (~100 m)

Confirmation of cluster-like structures in the universe

Abstract

The 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 special two-fold reciprocal space it was possible to propose a simple and 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 ~100 [m] and the density of the ordinary matter ~1E-22 [kg.m-3]. Another analysis based on a direct calculation of the CMB radiation spectrum after its transformation into a simple reciprocal space and combined with appropriate structure modeling confirmed the cluster structure. The internal structure of Objects may be formed by Clusters distant 12 [cm], whereas the internal structure of a Cluster consisted of particles distant ~0.3 [nm]. This work points unequivocally to clustering processes and to a cluster-like structure of the matter and thus contributes to the understanding of the structure of density fluctuations. Simultaneously it sheds more light on the structure of the universe in the moment when the universe became transparent for photons. Clustering may be at the same time a new physical effect which has not been taken fully into consideration in the past. On the basis of our quantitative considerations it was possible to estimate the number of particles (protons, helium nuclei, electrons and other particles) in Objects and Clusters and the number of Clusters in an Object.