Letter to the Editor

Kolmogorov stochasticity parameter measuring the randomness in the cosmic microwave background

¹ Yerevan Physics Institute and Yerevan State University, Yerevan, Armenia e-mail: gurzadya@icra.it
² School of Mathematical Sciences, Monash University, Clayton, Australia

Received: 20 October 2008
Accepted: 4 November 2008

Abstract

The Kolmogorov stochasticity parameter (KSP) is applied to quantify the degree of randomness (stochasticity) in the temperature maps of the Cosmic Microwave Background radiation maps. It is shown that the KSP for the WMAP5 maps is about twice as high as that of the simulated maps for the concordance ΛCDM cosmological model, implying that a randomizing effect exists that has not been taken into account by the model. As was revealed earlier, underdense regions in the large scale matter distributions, i.e. the voids, possess hyperbolic and, hence, randomizing properties. The degree of randomness for the Cold Spot appears to be about twice as high as the average of the mean temperature level spots in the sky, which supports the void nature of the Cold Spot. Kolmogorov's parameter then acts as a quantitative tracer of the voids by means of the CMB.