Upper bound on the momentum scale in noncommutative phase space of canonical type

Ivan Franko National University of Lviv, Department for Theoretical Physics - 12 Drahomanov St., Lviv, 79005, Ukraine

Received: 8 May 2019
Accepted: 17 July 2019

Abstract

We find a stringent upper bound on the momentum scale in noncommutative phase space of canonical type on the basis of studies of the perihelion shift of the Mercury planet by taking into account features of the description of the motion of a macroscopic body in the space with noncommutativity of coordinates and noncommutativity of momenta. Using results for precession of the perihelion of the Mercury planet from ranging to the MESSENGER spacecraft we obtain an upper bound for the parameter of momentum noncommutativity 10^-83 kg²m²/s² which is many orders less than known in the literature.