THE HOMOGENEITY SCALE OF THE UNIVERSE
In this study, we probe the cosmic homogeneity with the BOSS CMASS galaxy sample in the redshift region of $0.43 z 0.7$ We use the normalised counts in spheres estimator \mathcal{N}<r) and the fractal correlation dimension \mathcal{D}_{2}(r) to assess the homogeneity scale of the universe. We verify that the universe becomes homogenous on scales greater than \mathcal{R}_{H} \simeq 64.3\pm1.6\ h^ 1}Mpc$ consolidating the Cosmological Principle with a consistency test of \Lambda$CDM model at the percentage level. Finally, we explore the evolution of the homogeneity scale in redshift.