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Generalized uncertainty principle and extra dimensions. (English) Zbl 1421.83109

Nicolini, Piero (ed.) et al., 2nd Karl Schwarzschild meeting on gravitational physics, KSM 2013, Frankfurt am Main, Germany, July 20–24, 2015. Cham: Springer. Springer Proc. Phys. 208, 141-147 (2018).
Summary: The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking nonlocal modifications of the gravity action. We present the problem of extending such a GUP scenario to higher dimensional spacetimes and we critically review the existing literature on the topic.
For the entire collection see [Zbl 1403.83001].

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83C57 Black holes
81P15 Quantum measurement theory, state operations, state preparations

References:

[1] R.J. Adler, Am. J. Phys. 78, 925 (2010) · doi:10.1119/1.3439650
[2] G. Veneziano, Europhys. Lett. 2, 199 (1986) · doi:10.1209/0295-5075/2/3/006
[3] D. Amati, M. Ciafaloni, G. Veneziano, Phys. Lett. B 216, 41 (1989) · doi:10.1016/0370-2693(89)91366-X
[4] D. Amati, M. Ciafaloni, G. Veneziano, Nucl. Phys. B 403, 707 (1993) · doi:10.1016/0550-3213(93)90367-X
[5] M. Maggiore, Phys. Lett. B 304, 65 (1993) · doi:10.1016/0370-2693(93)91401-8
[6] A. Kempf, G. Mangano, R.B. Mann, Phys. Rev. D 52, 1108 (1995) · doi:10.1103/PhysRevD.52.1108
[7] M. Sprenger, P. Nicolini, M. Bleicher, Eur. J. Phys. 33, 853 (2012) · Zbl 1271.83034 · doi:10.1088/0143-0807/33/4/853
[8] S. Hossenfelder, Living Rev. Relativ. 16, 2 (2013) · Zbl 1320.83004 · doi:10.12942/lrr-2013-2
[9] A.N. Tawfik, A.M. Diab, Rep. Prog. Phys. 78, 126001 (2015) · doi:10.1088/0034-4885/78/12/126001
[10] P. Chen, R.J. Adler, Nucl. Phys. Proc. Suppl. 124, 103 (2003) · Zbl 1037.83006 · doi:10.1016/S0920-5632(03)02088-7
[11] R.J. Adler, P. Chen, D.I. Santiago, Gen. Relativ. Gravit. 33, 2101 (2001) · Zbl 1003.83020 · doi:10.1023/A:1015281430411
[12] P. Chen, Y.C. Ong, D.H. Yeom, Phys. Rep. 603, 1 (2015)
[13] R.J. Adler, D.I. Santiago, Mod. Phys. Lett. A 14, 1371 (1999) · doi:10.1142/S0217732399001462
[14] M. Isi, J. Mureika, P. Nicolini, JHEP 1311, 139 (2013) · Zbl 1342.83106 · doi:10.1007/JHEP11(2013)139
[15] P. Nicolini, Int. J. Mod. Phys. A 24, 1229 (2009) · Zbl 1170.83417 · doi:10.1142/S0217751X09043353
[16] H. Balasin, H. Nachbagauer, Class. Quantum Gravity 10, 2271 (1993) · Zbl 0788.53087 · doi:10.1088/0264-9381/10/11/010
[17] H. Balasin, H. Nachbagauer, Class. Quantum Gravity 11, 1453 (1994) · doi:10.1088/0264-9381/11/6/010
[18] A. DeBenedictis, Developments in Black Hole Research: Classical, Semi-classical, and Quantum (Nova Science Publishers, 2008), pp. 371-426, arXiv:0711.2279 [gr-qc]
[19] E. Spallucci, A. Smailagic, Regular Black Holes From Semi-classical Down to Planckian Size, arXiv:1701.04592 [hep-th] · Zbl 1366.83002
[20] G. ’t Hooft, S.B. Giddings, C. Rovelli, P. Nicolini, J. Mureika, M. Kaminski, M. Bleicher, The Good, the Bad, and the Ugly of Gravity and Information, arXiv:1609.01725 [hep-th]
[21] G. Dvali, S. Folkerts, C. Germani, Phys. Rev. D 84, 024039 (2011) · doi:10.1103/PhysRevD.84.024039
[22] G. Dvali, G.F. Giudice, C. Gomez, A. Kehagias, JHEP 1108, 108 (2011) · Zbl 1298.81359 · doi:10.1007/JHEP08(2011)108
[23] G. Dvali, C. Gomez, Self-Completeness of Einstein Gravity, arXiv:1005.3497 [hep-th]
[24] G. Dvali, C. Gomez, JCAP 1207, 015 (2012) · doi:10.1088/1475-7516/2012/07/015
[25] A. Aurilia, E. Spallucci, Planck’s Uncertainty Principle and the Saturation of Lorentz Boosts by Planckian Black Holes, arXiv:1309.7186 [gr-qc] · Zbl 1328.83173
[26] A. Aurilia, E. Spallucci, Adv. High Energy Phys. 2013, 531696 (2013) · Zbl 1328.83173 · doi:10.1155/2013/531696
[27] J. Mureika, P. Nicolini, Eur. Phys. J. Plus 128, 78 (2013) · doi:10.1140/epjp/i2013-13078-0
[28] B.J. Carr, Springer Proc. Phys. 170, 159 (2016) · Zbl 1334.83042 · doi:10.1007/978-3-319-20046-0_19
[29] B.J. Carr, J. Mureika, P. Nicolini, JHEP 07, 052 (2015) · Zbl 1387.83042 · doi:10.1007/JHEP07(2015)052
[30] E. Spallucci, S. Ansoldi, Phys. Lett. B 701, 471 (2011) · doi:10.1016/j.physletb.2011.06.005
[31] P. Nicolini, E. Spallucci, Adv. High Energy Phys. 2014, 805684 (2014) · Zbl 1425.81102 · doi:10.1155/2014/805684
[32] A.M. Frassino, S. Koeppel, P. Nicolini, Entropy 18, 181 (2016) · doi:10.3390/e18050181
[33] V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 125, 136 (1983) · doi:10.1016/0370-2693(83)91253-4
[34] V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 125, 139 (1983) · doi:10.1016/0370-2693(83)91254-6
[35] I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 436, 257 (1998) · doi:10.1016/S0370-2693(98)00860-0
[36] N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429, 263 (1998) · Zbl 1355.81103 · doi:10.1016/S0370-2693(98)00466-3
[37] N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Rev. D 59, 086004 (1999) · doi:10.1103/PhysRevD.59.086004
[38] T. Banks, W. Fischler, A Model for high-energy scattering in quantum gravity, arXiv:hep-th/9906038
[39] L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) · Zbl 0946.81063 · doi:10.1103/PhysRevLett.83.3370
[40] L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) · Zbl 0946.81074 · doi:10.1103/PhysRevLett.83.4690
[41] T. Appelquist, H.C. Cheng, B.A. Dobrescu, Phys. Rev. D 64, 035002 (2001) · doi:10.1103/PhysRevD.64.035002
[42] M. Gogberashvili, Mod. Phys. Lett. A 14, 2025 (1999) · doi:10.1142/S021773239900208X
[43] M. Gogberashvili, Europhys. Lett. 49, 396 (2000) · doi:10.1209/epl/i2000-00162-1
[44] M. Gogberashvili, Int. J. Mod. Phys. D 11, 1635 (2002) · doi:10.1142/S0218271802002992
[45] F. Scardigli, R. Casadio, Class. Quantum Gravity 20, 3915 (2003) · Zbl 1048.83009 · doi:10.1088/0264-9381/20/18/305
[46] M. Maziashvili, JCAP 1303, 042 (2013) · doi:10.1088/1475-7516/2013/03/042
[47] B. Carr, Mod. Phys. Lett. A 28, 1340011 (2013) · doi:10.1142/S0217732313400117
[48] M.J. Lake, B. Carr, JHEP 1511, 105 (2015). arXiv:1505.06994 [gr-qc]
[49] M.J. Lake, B. Carr, The Compton-Schwarzschild Relations in Higher Dimensions, arXiv:1611.01913 [gr-qc]
[50] M. Maziashvili, Phys. Rev. D 86, 104066 (2012) · doi:10.1103/PhysRevD.86.104066
[51] A.R.P. Dirkes, M. Maziashvili, Z.K. Silagadze, Int. J. Mod. Phys. D 25(02), 1650015 (2015) · Zbl 1337.81131 · doi:10.1142/S0218271816500152
[52] M. Maziashvili, Phys. Rev. D 91(6), 064040 (2015) · doi:10.1103/PhysRevD.91.064040
[53] A. Aurilia, S. Ansoldi, E. Spallucci, Class. Quantum Gravity 19, 3207 (2002) · Zbl 1007.83038 · doi:10.1088/0264-9381/19/12/307
[54] M. Kober, P. Nicolini, Class. Quantum Gravity 27, 245024 (2010) · Zbl 1206.83076 · doi:10.1088/0264-9381/27/24/245024
[55] E. Spallucci, A. Smailagic, P. Nicolini, Phys. Rev. D 73, 084004 (2006) · doi:10.1103/PhysRevD.73.084004
[56] T. Maslowski, A. Nowicki, V.M. Tkachuk, J. Phys. A 45, 075309 (2012) · Zbl 1236.81138 · doi:10.1088/1751-8113/45/7/075309
[57] R. Casadio, A. Giugno, O. Micu, Int. J. Mod. Phys. D 25(02), 1630006 (2016) · Zbl 1337.81001 · doi:10.1142/S0218271816300068
[58] G. Dvali, C. Gomez, Eur. Phys. J. C 74, 2752 (2014) · doi:10.1140/epjc/s10052-014-2752-3
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