Quantum Spacetime: a Disambiguation

Abstract

We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible components; the (arbitrary) restriction to a particular irreducible component is often referred to as the "canonical quantum spacetime". The aim is to distinguish and compare the approaches under various points of view, including motivations, prescriptions for quantisation, the choice of mathematical objects and concepts, approaches to dynamics and to covariance.

special issue of SIGMA "Noncommutative Spaces and Fields"

References in corpus (3)

• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Quantum Field Theory on Quantum Spacetime
• Ultraviolet Finiteness of the averaged Hamiltonian on the noncommutative Minkowski space

Cited by in corpus (1)

• Physically motivated uncertainty relations at the Planck length for an emergent non commutative spacetime