Do stellar interferometry observations indicate UV modification of gravity?

Abstract

Recently it was demonstrated that the theoretical predictions for the Planck scale space-time fluctuations derived by the simultaneous consideration of quantum mechanics and general relativity fail by many orders of magnitude against the stellar interferometry observations. We propose the explanation of this puzzle based on the short distance modification of gravity. Roughly speaking the criterion of this modification to fit the astronomical observations is that the gravitational radius of the mass as large as $\sim 10^{26}$kg should not exceed $\sim 10^{-36}$cm. From this point of view we consider the modification of Newtonian inverse square law due to Yukawa type correction and the modification due to quantum gravitational corrections obtained in the framework of nonperturbative RG approach. The latter one does not satisfy the required criterion for modification.