Persistent fluctuations in the distribution of galaxies from the Two degree Field Galaxy Redshift Survey
Francesco Sylos Labini, Nikolay L. Vasilyev, Yurij V. Baryshev

TL;DR
This study analyzes large-scale galaxy structures in the 2dF survey, revealing persistent fluctuations and a fractal distribution up to 75 Mpc/h, challenging standard cosmological models.
Contribution
It applies the scale-length method to quantify galaxy distribution fluctuations and compares observations with cosmological simulations, highlighting discrepancies.
Findings
Large fluctuations are typical in galaxy distributions.
No convergence to homogeneity up to 75 Mpc/h.
Standard models cannot explain observed fluctuations.
Abstract
We apply the scale-length method to several three dimensional samples of the Two degree Field Galaxy Redshift Survey. This method allows us to map in a quantitative and powerful way large scale structures in the distribution of galaxies controlling systematic effects. By determining the probability density function of conditional fluctuations we show that large scale structures are quite typical and correspond to large fluctuations in the galaxy density field. We do not find a convergence to homogeneity up to the samples sizes, i.e. ~ 75 Mpc/h. We then measure, at scales r <~ 40 Mpc/h, a well defined and statistically stable power-law behavior of the average number of galaxies in spheres, with fractal dimension D=2.2 +- 0.2. We point out that standard models of structure formation are unable to explain the existence of the large fluctuations in the galaxy density field detected in these…
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