Abstract
Considering the existence of nonconformal stochastic fluctuations in the metric tensor a generalized uncertainty principle and a deformed dispersion relation (associated to the propagation of photons) are deduced. Matching our model with the so called quantum κ-Poincaré group will allow us to deduce that the fluctuation-dissipation theorem could be fulfilled without needing a restoring mechanism associated with the intrinsic fluctuations of spacetime. In other words, the loss of quantum information is related to the fact that the spacetime symmetries are described by the quantum κ-Poincaré group, and not by the usual Poincaré symmetries. An upper bound for the free parameters of this model will also be obtained.
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REFERENCES
Maggiore, M. (1994). Phys. Rev. D 49, 5182.
Kempf, A., Mangano, G., and Mann, R. B. (1995). Phys. Rev. D 52, 1108.
Amelino-Camelia, G. (1997). Phys. Lett. B 392, 283.
Kempf, A. and Mangano, G. (1996). Preprint hep-th/9612084.
Lukierski, J., Nowicki, A., and Ruegg, H. (1995). Ann. Phys. (NY) 243, 90.
Amelino-Camelia, G., Ellis, J., Mavromatos, N. E., Nanopoulos, D. V., and Sarkar, S. (1998). Nature 393, 763.
Alfaro, J., Morales-Tecotl, H. A., and Urrutia, L. F. (2000). Phys. Rev. Lett. 84, 2318.
Sudarsky, D., Urrutia, L. F., and Vucetich, H. (2002). Preprint gr-qc/0204027.
Amelino-Camelia, G. (1999). Nature 398, 216.
Sánchez, J. L. (1994). In Stochastic Evolution of Quantum States in Open Systems and in Measurement Processes, L. Diósi and B. Lukács (Eds.) (World Scientific, Singapore).
Diósi, L. and Lukács, B. (1989). Phys. Lett. A 142, 331; Ng, Y. J. and Van Dam, H. (1994). Mod. Phys. Lett. A 9, 335; (1995). Mod. Phys. Lett. A 10, 2801.
Diósi, L. and Lukács, B. (1992). Ann. der Physik (Leipz.) 24, 488.
Amelino-Camelia, G. (2000). Phys. Rev. D 62, 024015.
Amelino-Camelia, G., Lukierski, J., and Nowicki, A. (1999). Int. J. Mod. Phys. A 14, 4575.
Capozziello, S., Lambiase, G., and Scarpetta, G. (2000). Int. J. Theor. Phys. 39, 15.
Scardigli, F. (1999). Phys. Lett. B 452, 39.
Ahluwalia, D. V. (1994). Phys. Lett. B 339, 301.
Adler, R. J. and Santiago, D. I. (1999). Mod. Phys. Lett. A 14, 1371.
Misner, C., Thorne, K., and Wheeler, J. A. (1973). Gravitation (W. H. Freeman, San Francisco).
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Camacho, A. Generalized Uncertainty Principle and Deformed Dispersion Relation Induced by Nonconformal Metric Fluctuations. General Relativity and Gravitation 34, 1839–1845 (2002). https://doi.org/10.1023/A:1020712007452
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DOI: https://doi.org/10.1023/A:1020712007452