Micro-orbits in a many-branes model and deviations from $1/r^2$ Newton's law

Abstract

We consider a 5-dimensional model with geometry $\mathcal{M}={\mathcal{M}}_4\times {\mathcal{S}}_1$, with compactification radius $R$. The Standard Model particles are localized onto 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 detect generic deviations from the inverse-square Newton's 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.

arXiv commentTwo-column format (20 pages), 10 figures; minor corrections and some added references

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• Hints of Modified Gravity in Cosmos and in the Lab?
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