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Einstein's theory of general relativity, which contains a universal value ofthe Planck mass, has been so far successfully invoked to explain gravitationaldynamics from sub-millimeter scales to the scale of the cosmological horizon.However, one may envisage that in alternative theories of gravity, theeffective value of the Planck mass (or Newton's constant), which quantifies thecoupling of matter to metric perturbations, can run on the cosmological horizonscale. In this letter, we study the consequences of a glitch in the Planck massfrom sub-horizon to super-horizon scales. We first give three examples ofmodels that naturally exhibit this feature, and then show that currentcosmological observations severely constrain this glitch to less than 1.2%.This is the strongest constraint to date, on natural (i.e. non-fine-tuned)deviations from Einstein gravity on the cosmological horizon scale.

Does Planck mass run on the cosmological horizon scale?