Porosity criterion for hyperbolic voids and the cosmic microwave background

TL;DR

This paper introduces a porosity criterion to determine hyperbolic effects of cosmic voids on CMB photon propagation, linking void properties to observable cosmic microwave background features and dark energy implications.

Contribution

It develops a new porosity-based criterion for hyperbolicity caused by voids, supported by galaxy survey data, and explores its implications for CMB anisotropy and dark energy.

Findings

Porosity parameter correlates with hyperbolic effects in CMB maps.

Void parameters from galaxy surveys support the hyperbolicity criterion.

Void effects may influence temperature-independent ellipticity of CMB structures.

Abstract

The degree of randomness in the cosmic microwave background (CMB) maps has been shown to be measurable and indicative of the hyperbolic effect of voids on the propagation of the photon beams. In terms of an introduced porosity parameter, we now obtain the criterion for a hyperbolicity due to domination of voids in the line-of-sight direction. The criterion seems to be supported by the parameters of 30 Mpc scale voids revealed by the galactic redshift surveys. The importance of the geometrical effect of the voids is also due to their possible role in the temperature independent ellipticity of the excursion sets, as well as in the nature of dark energy. The role of possible larger scale inhomogeneities, from superclusters to semi-Hubble scale, in this effect remains yet unclear.