A model independent constraint on the temporal evolution of the speed of light

Abstract

We present a new, model-independent method to reconstruct the temporal evolution of the speed of light $c(z)$ using astronomical observations. After validating our pipeline using mock datasets, we apply our method to the latest BAO and supernovae observations, and reconstruct $c(z)$ in the redshift range of $z\in [0,1.5]$. We find no evidence of a varying speed of light, although we see some interesting features of $\Delta c(z)$, the fractional difference between $c(z)$ and $c_0$ (the speed of light in SI), \eg, $\Delta c(z)<0$ and $\Delta c(z)>0$ at $0.2\lesssim z\lesssim 0.5$ and $0.8\lesssim z\lesssim 1.3$, respectively, although the significance of these features is currently far below statistical importance.

11 pages, 4 figures

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• Measuring the speed of light with cosmological observations: current constraints and forecasts
• Dilaton-induced variations in Planck constant and speed of light: An alternative to Dark Energy
• A mechanism to generate varying speed of light via Higgs-dilaton coupling: Theory and cosmological applications
• New analysis of SNeIa Pantheon Catalog: Variable speed of light as an alternative to dark energy
• A model-independent test of speed of light variability with cosmological observations