Regularization of Kepler Problem in $\kappa$-spacetime

TL;DR

This paper explores regularization techniques for the Kepler problem within $$-spacetime, adapting classical methods like Moser and Ligon-Schaaf to a noncommutative geometric context.

Contribution

It extends classical regularization methods to the $$-spacetime setting, demonstrating their applicability in noncommutative geometry.

Findings

Successful adaptation of Moser regularization to $$-spacetime

Extension of Ligon-Schaaf regularization in noncommutative context

Generalization of Heckman-de Laat map to $$-spacetime

Abstract

In this paper we regularize the Kepler problem on $\kappa$-spacetime in several different ways. First, we perform a Moser-type regularization and then we proceed for the Ligon-Schaaf regularization to our problem. In particular, generalizing Heckman-de Laat (J. Symplectic Geom. 10, (2012), 463-473) in the noncommutative context we show that the Ligon-Schaaf regularization map follows from an adaptation of the Moser regularization can be generalized to the Kepler problem on $\kappa$-spacetime.