English

Quantum Spacetime: a Disambiguation

Mathematical Physics 2010-09-24 v3 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1004.5261,
  title  = {Quantum Spacetime: a Disambiguation},
  author = {Gherardo Piacitelli},
  journal= {arXiv preprint arXiv:1004.5261},
  year   = {2010}
}

Comments

special issue of SIGMA "Noncommutative Spaces and Fields"

R2 v1 2026-06-21T15:16:24.663Z