Quantum spacetime

Sergio Doplicher

Annales de l'I.H.P. Physique théorique (1996)

  • Volume: 64, Issue: 4, page 543-553
  • ISSN: 0246-0211

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Doplicher, Sergio. "Quantum spacetime." Annales de l'I.H.P. Physique théorique 64.4 (1996): 543-553. <http://eudml.org/doc/76731>.

@article{Doplicher1996,
author = {Doplicher, Sergio},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Poincaré group; spacetime uncertainty relations; deformations of quantum spacetime; quantum structure of spacetime; interplay between quantum mechanics and classical general relativity},
language = {eng},
number = {4},
pages = {543-553},
publisher = {Gauthier-Villars},
title = {Quantum spacetime},
url = {http://eudml.org/doc/76731},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Doplicher, Sergio
TI - Quantum spacetime
JO - Annales de l'I.H.P. Physique théorique
PY - 1996
PB - Gauthier-Villars
VL - 64
IS - 4
SP - 543
EP - 553
LA - eng
KW - Poincaré group; spacetime uncertainty relations; deformations of quantum spacetime; quantum structure of spacetime; interplay between quantum mechanics and classical general relativity
UR - http://eudml.org/doc/76731
ER -

References

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  1. [1] S. Doplicher, K. Fredenhagen, and J.E. Roberts, The quantum structure of spacetime at the Planck scale and quantum fields, Commun. Math. Phys., 172, 1995, pp. 187-220. Zbl0847.53051MR1346376
  2. [2] S. Doplicher, K. Fredenhagen, J.E. Roberts, Spacetime quantization induced by classical gravity, Phys. Lett., B331, 1994, pp. 39-44. MR1283786
  3. [3] S. Doplicher, Quantum physics, classical gravity, and non-commutative spacetime, Proceedings of the ICMP, Paris, July 18-23, 1994; International Press, 1995. Zbl1052.83514MR1370688
  4. [4] A. Connes, Non-commutative geometry, Academic Press, 1994. Zbl0818.46076
  5. [5] A. Connes, Non-commutative geometry and reality, Journal of Math. Phys., 36, n° 11, 1995. Zbl0871.58008
  6. [6] S. Doplicher, K. Fredenhagen (in preparation). 
  7. [7] L. Garay, Quantum gravity and minimum length, Int. Journ. Mod. Phys., A10, 1995, pp. 145-165. 
  8. [8] M. Maggiore, Quantum groups, gravity, and the generalized uncertainty principle, Phys. Rev., D49, 1994, pp. 5182-5187. Zbl1194.68089MR1280422
  9. [9] G. Veneziano, Europhys. Lett., 2, 1986, p. 199; D. Amati, M. Ciafaloni and G. Veneziano, Nucl. Phys., B347, 1990, p. 551. 
  10. [10] J. Madore, Fuzzy physics, Ann. Phys., 219, 1992, pp. 187-198. MR1188036
  11. [11] J. Lukierski, A. Nowicki and H. Ruegg, New quantum Poincaré algebra and k-deformed field theory, Phys. Lett., B293, 1992, pp. 344-352. Zbl0834.17022MR1188847
  12. [12] M. Rieffel, Quantization and C*-algebras, Contemporary Math., 167, 1994, pp. 67-96. Zbl0847.46036MR1292010
  13. [ 13] A. Kempf, G. Mangano and R.B. Mann, Hilbert space representations of the minimal uncertainty relations (preprint). 
  14. [ 14] A. Ashtekar, Quantum gravity, a mathematical physics perspective, in Mathematical Physics towards the 21 st Century, R. SEN and A. GERSTEN eds, Ben Gourion University of Neghev Press, 1994. 

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