On the physical contents of q-deformed Minkowski spaces

TL;DR

This paper explores the physical implications of q-deformed Minkowski spaces, highlighting unique classical limits and significant challenges in formulating corresponding q-deformed field theories.

Contribution

It analyzes the classical limit and field theory formulation of q-deformed Minkowski spaces, revealing inherent difficulties and unusual features.

Findings

Classical limit involves unusual features under standard assumptions.

Formulating q-deformed field theories faces serious difficulties.

Deformation relates to quantization with notable physical implications.

Abstract

Some physical aspects of $q$-deformed spacetimes are discussed. It is pointed out that, under certain standard assumptions relating deformation and quantization, the classical limit (Poisson bracket description) of the dynamics is bound to contain unusual features. At the same time, it is argued that the formulation of an associated $q$-deformed field theory is fraught with serious difficulties.