Scale-invariant galaxy clustering on large scales

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Galactic Clusters, Galactic Mass, Galactic Structure, Mass Distribution, Scaling Laws, Correlation, Positioning, Red Shift

Scientific paper

The scaling properties of galaxy clustering at large separations were explored using the Perseus-Pisces region redshift catalog and other correlation results from the literature. The analysis reveals that the distribution of galaxies in scales much larger than the correlation length still obeys a very small defined scaling law, characterized by a fractal dimension D approximately equal to 2.2. Homogeneity seems to be reached for separations greater than 30/h Mpc, while for r less than 4/h Mpc the large scale symmetry is broken into the 'standard' D approximately equal to 1.2 clustering usually evidenced by two point correlation analyses. These features are presented in all the different redshift surveys analyzed. It is argued that this result could be explained as the consequence of gravitational small scale amplification of an initially scale invariant distribution with D approximately equal to 2, corresponding to a spectrum of fluctuations with (the absolute value of delta k) squared proportional to 1/(k squared).

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