The Kepler problem and non commutativity

Details The Kepler problem and non commutativity The Kepler problem and non commutativity

2003-03-07

arxiv.org/abs/hep-th/0303064v1

Mod.Phys.Lett. A18 (2003) 1673-1680

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1142/S0217732303011472

We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of $10^{-58} \text m^2$ gives observable corrections to the movement of the solar system. In this way, modifications in the physics of smaller scales implies modifications at large scales, something similar to the UV/IR mixing.

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