Doplicher, Sergio
Quantum spacetime
Annales de l'I.H.P. Physique théorique, Tome 64 (1996) no. 4 , p. 543-553
Zbl 0861.46044 | MR 1407760
URL stable : http://www.numdam.org/item?id=AIHPA_1996__64_4_543_0

Bibliographie

[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. MR 1346376 | Zbl 0847.53051

[2] S. Doplicher, K. Fredenhagen, J.E. Roberts, Spacetime quantization induced by classical gravity, Phys. Lett., B331, 1994, pp. 39-44. MR 1283786

[3] S. Doplicher, Quantum physics, classical gravity, and non-commutative spacetime, Proceedings of the ICMP, Paris, July 18-23, 1994; International Press, 1995. MR 1370688 | Zbl 1052.83514

[4] A. Connes, Non-commutative geometry, Academic Press, 1994. Zbl 0818.46076

[5] A. Connes, Non-commutative geometry and reality, Journal of Math. Phys., 36, n° 11, 1995. Zbl 0871.58008

[6] S. Doplicher, K. Fredenhagen (In Preparation).

[7] L. Garay, Quantum gravity and minimum length, Int. Journ. Mod. Phys., A10, 1995, pp. 145-165.

[8] M. Maggiore, Quantum groups, gravity, and the generalized uncertainty principle, Phys. Rev., D49, 1994, pp. 5182-5187. MR 1280422

[9] G. Veneziano, Europhys. Lett., 2, 1986, p. 199; D. Amati, M. Ciafaloni and G. Veneziano, Nucl. Phys., B347, 1990, p. 551.

[10] J. Madore, Fuzzy physics, Ann. Phys., 219, 1992, pp. 187-198. MR 1188036

[11] J. Lukierski, A. Nowicki and H. Ruegg, New quantum Poincaré algebra and k-deformed field theory, Phys. Lett., B293, 1992, pp. 344-352. MR 1188847 | Zbl 0834.17022

[12] M. Rieffel, Quantization and C*-algebras, Contemporary Math., 167, 1994, pp. 67-96. MR 1292010 | Zbl 0847.46036

[ 13] A. Kempf, G. Mangano and R.B. Mann, Hilbert space representations of the minimal uncertainty relations (preprint).

[ 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.