Micro-orbits in a many-brane model and deviations from Newton’s 1 / r2 law

Abstract

We consider a five-dimensional model with geometry M= M4× S1, with compactification radius R. The Standard Model particles are localized on a brane located at y= 0 , with identical branes localized at different points in the extra dimension. Objects located on our brane can orbit around objects located on a brane at a distance d= y/ R, with an orbit and a period significantly different from the standard Newtonian ones. We study the kinematical properties of the orbits, finding that it is possible to distinguish one motion from the other in a large region of the initial conditions parameter space. This is a warm-up to study if a SM-like mass distribution on one (or more) distant brane(s) may represent a possible dark matter candidate. After using the same technique to the study of orbits of objects lying on the same brane (d= 0), we apply this method to the detection of generic deviations from the inverse-square Newton law. We propose a possible experimental setup to look for departures from Newtonian motion in the micro-world, finding that an order of magnitude improvement on present bounds can be attained at the 95% CL under reasonable assumptions.