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Quantum Spacetime: a Disambiguation
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Quantum Spacetime: a Disambiguation
Інший ID:
2010 Mathematics Subject Classification: 46L65; 81T75; 83C65; 58B32
DOI:10.3842/SIGMA.2010.073
DOI:10.3842/SIGMA.2010.073
Посилання:
Quantum Spacetime: a Disambiguation / G. Piacitelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 42 назв. — англ.
Підтримка:
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].
Дата:
2010
Переглядів:
564
Завантажень:
268
Анотація:
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.
