Testing the wavelength dependence of cosmological redshift down to $Δz \sim 10^{-6}$

Abstract

At the core of the standard cosmological model lies the assumption that the redshift of distant galaxies is independent of photon wavelength. This invariance of cosmological redshift with wavelength is routinely found in all galaxy spectra with a precision of $\Delta$z~10$^{-4}$. The combined use of approximately half a million high-quality galaxy spectra from the Sloan Digital Sky Survey (SDSS) allows us to explore this invariance down to a nominal precision in redshift of one part per million (statistical). Our analysis is performed over the redshift interval 0.020.1. Future attempts to constrain this law will require high quality galaxy spectra at higher resolution (R>10,000)