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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146534 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Quantum Spacetime: a Disambiguation / G. Piacitelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 42 назв. — англ. |
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Piacitelli, G. 2019-02-09T20:30:56Z 2019-02-09T20:30:56Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146534 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. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. I am indebted with Dorothea Bahns, Ludwik Dabrowski, Sergio Doplicher, Klaus Fredenhagen and Giorgio Immirzi for stimulating conversations, and for comments on a preliminary version. Dorothea Bahns drove my attention on reference [13]. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Spacetime: a Disambiguation Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Quantum Spacetime: a Disambiguation |
| spellingShingle |
Quantum Spacetime: a Disambiguation Piacitelli, G. |
| 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 |
| author |
Piacitelli, G. |
| author_facet |
Piacitelli, G. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT piacitellig quantumspacetimeadisambiguation |
| first_indexed |
2025-12-01T10:10:05Z |
| last_indexed |
2025-12-01T10:10:05Z |
| _version_ |
1850859924357120000 |