The motion of a composite system made of N particles is examined in a space with a
canonical noncommutative algebra of coordinates. It is found that the coordinates of the …

We investigate the Kepler problem using a symplectic structure consistent with the
commutation rules of the noncommutative quantum mechanics. We show that a …

In this study, we construct a non-commutative gauge theory of the modified structure of the
gravitational field using the Seiberg-Witten map and the general tetrad fields of …

In this paper, we investigate the four classical tests of general relativity in the non-
commutative (NC) gauge theory of gravity. Using the Seiberg–Witten (SW) map and the star …

In this Letter we show that corrections to Newton's second law appear if we assume a
symplectic structure consistent with the commutation rules of the non-commutative quantum …

Dynamics on noncommutative spaces has long been expected to solve the problem of
infinities in quantum field theory. While this hope remains unconfirmed to date, surprising …

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 …

In this paper, we study the stability of geodesic motion for both massive and massless
particles using Lyapunov exponents in the non-commutative (NC) Schwarzschild black hole …

Several quantum gravity and string theory thought experiments indicate that the Heisenberg
uncertainty relations get modified at the Planck scale so that a minimal length do arises. This …

We consider the motion of a particle in a uniform field in noncommutative space which is
rotationally invariant. On the basis of exact calculations, it is shown that there is an effect of …