SELF-AFFINITY OF THE LARGE SCALE STRUCTURE OF THE UNIVERSE

Abstract

The large scale structure of the universe is not self-similar, but may be self-affine. A cosmic string model with two self-affine fractals has been developed. All statistical features, such as 1) r−1.8 law; 2) dependence of correlation strength on objects; 3) flattened tail in correlation function; 4) bubble structure; 5) dependence of correlation length on the size of sample, can be explained if the local fractal is taken to be 1.2 and the global fractal to be 2.4.