From quantum deformations of relativistic symmetries to modified kinematics and dynamics

TL;DR

This paper explores how quantum deformations of relativistic symmetries, based on noncommutative Minkowski space, modify the kinematics of special relativity and briefly discusses quantum modifications of Einstein gravity.

Contribution

It introduces a framework connecting noncommutative geometry with quantum deformations of relativistic symmetries and their impact on kinematics and gravity.

Findings

Quantum deformations lead to modified relativistic kinematics.

Noncommutative field theory is formulated via star product formalism.

Quantum modifications of Einstein gravity are briefly presented.

Abstract

Starting from noncommutative generalization of Minkowski space we consider quantum deformed relativistic symmetries which lead to the modification of kinematics of special relativity. The noncommutative field theory framework described by means of the star product formalism is briefly described. We briefly present the quantum modifications of Einstein gravity