Twist deformations of Newton-Hooke Hopf algebras

TL;DR

This paper constructs five new quantum Newton-Hooke Hopf algebras using Abelian twists, revealing deformed space-times that are either periodic or expanding in time.

Contribution

It introduces novel quantum Newton-Hooke Hopf algebras and analyzes their associated deformed space-times, expanding the understanding of quantum symmetries in noncommutative geometry.

Findings

Deformed space-times are either periodic or expanding.

Five new quantum Newton-Hooke Hopf algebras are constructed.

The deformations are achieved via Abelian twist procedures.

Abstract

We construct five new quantum Newton-Hooke Hopf algebras with the use of Abelian twist procedure. Further we demonstrate that the corresponding deformed space-times with quantum space and classical time are periodic or expanding in time.