The anisotropy properties of a background radiation in the fractal cosmological model

TL;DR

This paper investigates the anisotropy of background radiation within a fractal cosmological model featuring self-similar domains, calculating the brightness anisotropy spectrum and comparing it to observed quasar and CMB data.

Contribution

It introduces a fractal cosmological model with self-similar domains and analyzes its predicted radiation anisotropy spectrum, linking it to observational data.

Findings

The brightness anisotropy power spectrum resembles the SDSS-quasar distribution spectrum.

The spectrum qualitatively aligns with the WMAP-7 CMB angular power spectrum.

The model suggests a connection between fractal structures and observed cosmic anisotropies.

Abstract

We consider the anisotropy properties of a background radiation in the fractal cosmological model. The space of this model includes self-similar domains. The metric tensors of any two domains are connected by the discrete scaling transformation. Photons of the background radiation cross the domain and their energy change. Any observer receives these photons from different domains and detects spots with different brightness. The power spectrum of the brightness anisotropy of the background radiation in the fractal cosmological model is calculated. It is shown this spectrum is closed to the observed angular power spectrum of the SDSS-quasar distribution on the celestial sphere. Only qualitatively it conforms to the angular power spectrum of CMB (WMAP-7).