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Quantum Spacetime: a Disambiguation

Quantum Spacetime: a Disambiguation

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 ''c...

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Main Author: Piacitelli, G.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146534
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spelling irk-123456789-1465342019-02-10T01:24:54Z Quantum Spacetime: a Disambiguation Piacitelli, G. 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. 2010 Article Quantum Spacetime: a Disambiguation / G. Piacitelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 42 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L65; 81T75; 83C65; 58B32 DOI:10.3842/SIGMA.2010.073 http://dspace.nbuv.gov.ua/handle/123456789/146534 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Piacitelli, G.
spellingShingle Piacitelli, G.
Quantum Spacetime: a Disambiguation
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Piacitelli, G.
author_sort Piacitelli, G.
title Quantum Spacetime: a Disambiguation
title_short Quantum Spacetime: a Disambiguation
title_full Quantum Spacetime: a Disambiguation
title_fullStr Quantum Spacetime: a Disambiguation
title_full_unstemmed Quantum Spacetime: a Disambiguation
title_sort quantum spacetime: a disambiguation
publisher Інститут математики НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/146534
citation_txt Quantum Spacetime: a Disambiguation / G. Piacitelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 42 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT piacitellig quantumspacetimeadisambiguation
first_indexed 2023-05-20T17:25:01Z
last_indexed 2023-05-20T17:25:01Z
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