23 citations · 93 across the 16 of their papers we have counts for
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Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
Kh. P. Gnatenko
Noncommutative algebra which is rotationally invariant, time reversal invariant and equivalent to noncommutative algebra of canonical type is considered. Perihelion shift of orbit…
Kinetic energy properties and weak equivalence principle in a space with GUP
Kh. P. Gnatenko, V. M. Tkachuk
A space with deformed commutation relations for coordinates and momenta leading to generalized uncertainty principle (GUP) is studied. We show that GUP causes great violation of th…
Upper bound on the momentum scale in noncommutative phase space of canonical type
Kh. P. Gnatenko, V. M. Tkachuk
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 in…
Minimal length estimation on the basis of studies of the Sun-Earth-Moon system in deformed space
Kh. P. Gnatenko, V. M. Tkachuk
A space with deformed Poisson brackets for coordinates and momenta leading to the minimal length is considered. Features of description of motion of a body in the space are examine…
Macroscopic body in Snyder space and minimal length estimation
Kh. P. Gnatenko, V. M. Tkachuk
We study a problem of description of macroscopic body motion in the frame of nonrelativistic Snyder model. It is found that the motion of the center-of-mass of a body is described…