NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES
| العنوان: | NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES |
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| المؤلفون: | Sebastian Nowak, Jerzy Kowalski-Glikman |
| المصدر: | International Journal of Modern Physics D. 12:299-315 |
| بيانات النشر: | World Scientific Pub Co Pte Lt, 2003. |
| سنة النشر: | 2003 |
| مصطلحات موضوعية: | High Energy Physics - Theory, Physics, Space time, Structure (category theory), FOS: Physical sciences, Astronomy and Astrophysics, Energy–momentum relation, Theoretical physics, High Energy Physics - Theory (hep-th), Space and Planetary Science, Doubly special relativity, Phase space, Minkowski space, Quantum gravity, Commutative property, Mathematical Physics |
| الوصف: | Doubly Special Relativity (DSR) theory is a recently proposed theory with two observer-independent scales (of velocity and mass), which is to describe a kinematic structure underlining the theory of Quantum Gravity. We observe that there is infinitely many DSR constructions of the energy-momentum sector, each of whose can be promoted to the $\kappa$-Poincar\'e quantum (Hopf) algebra. Then we use the co-product of this algebra and the known construction of $\kappa$-deformed phase space via Heisenberg double in order to derive the non-commutative space-time structure and description of the whole of the DSR phase space. Next we show that contrary to the ambiguous structure of the energy momentum sector, the space-time of the DSR theory is unique and equivalent to the theory with non-commutative space-time proposed long ago by Snyder. This theory provides non-commutative version of Minkowski space-time enjoying ordinary Lorentz symmetry. It turns out that when one builds a natural phase space on this space-time, its intrinsic length parameter $\ell$ becomes observer-independent. Comment: 9 pages, Revtex 4 |
| تدمد: | 1793-6594 0218-2718 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7642ea40eaefeea4ac4f9053c4a9f7eeTest https://doi.org/10.1142/s0218271803003050Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....7642ea40eaefeea4ac4f9053c4a9f7ee |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17936594 02182718 |
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