Noncommutative geometry and the classical orbits of particles in a central force potential

TL;DR

This paper explores how noncommutative geometry alters classical particle orbits in a central force, deriving constraints on noncommutativity parameters from observational data.

Contribution

It introduces a framework for analyzing classical orbits under noncommutative geometry and compares theoretical predictions with observations to constrain noncommutativity.

Findings

Severe observational constraints on noncommutativity parameter

Modified classical orbits due to noncommutative geometry

Quantitative bounds on noncommutative effects

Abstract

We investigate the effect of the noncommutative geometry on the classical orbits of particles in a central force potential. The relation is implemented through the modified commutation relations $[x_i, x_j]=i \theta_{ij} $. Comparison with observation places severe constraints on the value of the noncommutativity parameter.