Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time
Marcin Daszkiewicz, Cezary J. Walczyk
TL;DR
This paper develops the classical mechanics framework for multiple particles in a noncommutative space-time, specifically examining gravitational and harmonic oscillator systems under canonical twist deformation.
Contribution
It introduces the classical mechanics of many particles on canonically deformed space-time, focusing on gravitational and harmonic oscillator systems, which is a novel application of noncommutative geometry.
Findings
Formulation of classical equations of motion in noncommutative space-time
Analysis of gravitational N-particle system under deformation
Study of N interacting harmonic oscillators in the deformed setting
Abstract
We provide the classical mechanics of many particles moving in canonically twist-deformed space-time. In particular, we consider two examples of such noncommutative systems - the set of N particles moving in gravitational field as well as the system of N interacting harmonic oscillators.
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