Quantum Spacetime: a Disambiguation

Symmetry Integrability and Geometry-Methods and Applications

article

Gherardo Piacitelli¹ 

[1] SISSA

关键词: quantum spacetime;    covariance;    noncommutative geometry;    doubly special relativity;   

DOI  :  10.3842/SIGMA.2010.073

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown