Measuring the speed of light with cosmological observations: current constraints and forecasts

We measure the speed of light with current observations, such as Type Ia Supernova, galaxy ages, radial BAO mode, as well as simulations of future redshift surveys and gravitational waves as standard sirens. By means of a Gaussian Process reconstruction, we find that the precision of such measurements can be improved from roughly 6\% to 1.5-2\%, in light of these forthcoming observations. This result demonstrates that we will be able to perform a cosmological measurement of a fundamental physical constant with unprecedented precision, which will help us underpinning if its value is truly consistent with local measurements, as predicted by the standard model of Cosmology.