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

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 coo...

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Bibliographic Details
Published in:Europhysics letters 2019-07, Vol.127 (2), p.20008
Main Authors: Gnatenko, Kh. P., Tkachuk, V. M.
Format: Article
Language:English
Subjects:
01.55.+b
11.10.Nx
Mercury (planet)
MESSENGER Spacecraft
Momentum
Perihelions
Upper bounds
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Summary: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.
ISSN:0295-5075
1286-4854
1286-4854
DOI:10.1209/0295-5075/127/20008