Quantum Spacetime: a Disambiguation

Details Quantum Spacetime: a Disambiguation Quantum Spacetime: a Disambiguation

2010-04-29

arxiv.org/abs/1004.5261v3

SIGMA 6 (2010), 073, 43 pages

Physics

Mathematical Physics

special issue of SIGMA "Noncommutative Spaces and Fields"

Scientific paper

10.3842/SIGMA.2010.073

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.

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