https://doi.org/10.1140/epjc/s10052-016-4537-3
Regular Article - Theoretical Physics
Micro-orbits in a many-brane model and deviations from Newton’s 
law
Instituto de Física Corpuscular, CSIC-Universitat de València, Apartado de Correos 22085, 46071, Valencia, Spain
* e-mail: donini@ific.uv.es
Received:
30
September
2016
Accepted:
23
November
2016
Published online:
18
December
2016
We consider a five-dimensional model with geometry 
, with compactification radius R. The Standard Model particles are localized on a brane located at 
, 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 
, 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 (
), 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.
© The Author(s), 2016
