English

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

High Energy Physics - Theory 2019-09-04 v2 General Relativity and Quantum Cosmology

Abstract

We find stringent upper bound on the momentum scale in noncommutative phase space of canonical type on the basis of studies of perihelion shift of the Mercury planet with taking into account features of description of motion of macroscopic body in the space with noncommutativity of coordinates and noncommutativity of momenta. Using results for precession of perihelion of the Mercury planet from ranging to the MESSENGER spacecraft we obtain upper bound for parameter of momentum noncommutativity 1080kg2m2/s210^{-80}\textrm{kg}^2\textrm{m}^2/\textrm{s}^2 which is many orders less than known in the literature.

Keywords

Cite

@article{arxiv.1905.03245,
  title  = {Upper bound on the momentum scale in noncommutative phase space of canonical type},
  author = {Kh. P. Gnatenko and V. M. Tkachuk},
  journal= {arXiv preprint arXiv:1905.03245},
  year   = {2019}
}

Comments

to appear in EPL