On Modification of Newton’s Law by a Homogeneous Distribution of Wormholes in Space

Abstract

We examine a modification of Newton’s gravity by a distribution of cosmological wormholes. We show that at very large distances cosmological wormholes generate corrections which may be interpreted as if gravitons acquired effective masses. We show how the mass spectrum relates to the mean parameters of wormholes. In the leading approximation, the first effective mass is imaginary, which indicates the presence of an additional gravitational instability in the early Universe.