Can the homogeneity scale be used as a standard ruler?

Understand

The Universe on comoving scales larger than 100 Mpc/h is assumed to be statistically homogeneous, with the transition scale where we have $1\%$ deviation from homogeneity being known as the homogeneity scale $R_H$.

• The latter was recently proposed in Ntelis et al.
• (2018) [arXiv:1810.09362] to be a standard ruler.
• In this paper we perform a comparison between the baryon acoustic oscillations and the homogeneity scales $R_H$, assuming a spatially flat universe, linear cosmological perturbation theory and the cosmological constant cold dark matter $\Lambda$CDM model.