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Approaches to Quantum Gravity

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448 G. Amelino-CameliaReferences[1] J. Stachel, Early his<strong>to</strong>ry of quantum gravity, in Black Holes, Gravitational Radiationand the Universe, B.R. Iyer, B. Bhawal, eds. (Netherlands, Kluwer AcademicPublisher, 1999).[2] G. Amelino-Camelia, Are we at the dawn of quantum-gravity phenomenology?,Lect. Notes Phys. 541 (2000) 1–49, gr-qc/9910089.[3] G. Amelino-Camelia, <strong>Quantum</strong>-gravity phenomenology: status and prospects,Mod. Phys. Lett. A17 (2002) 899, gr-qc/0204051.[4] G. ‘t Hooft, Quantization of point particles in (2+1)-dimensional gravity andspacetime discreteness, Class. Quant. Grav. 13 (1996) 1023–1039.[5] T. Kifune, Invariance violation extends the cosmic ray horizon?, Astrophys. J. Lett.518 (1999) L21, astro-ph/9904164.[6] R. Aloisio, P. Blasi, P.L. Ghia and A.F. Grillo, Probing the structure of space-timewith cosmic rays, Phys. Rev. D62 (2000) 053010, astro-ph/0001258.[7] R. J. Protheroe and H. Meyer, An infrared background TeV gamma ray crisis?,Phys. Lett. B493 (2000) 1, astro-ph/0005349.[8] G. Amelino-Camelia and T. Piran, Phys. Rev. D64 (2001) 036005,astro-ph/0008107.[9] A. Agostini, G. Amelino-Camelia, M. Arzano, A. Marciano and R. A. Tacchi,Generalizing the Noether theorem for Hopf-algebra spacetime symmetries (2006),hep-th/0607221.[10] G. Amelino-Camelia, J. Ellis, N. E. Mavroma<strong>to</strong>s and D. V. Nanopoulos, Distancemeasurement and wave dispersion in a Liouville string approach <strong>to</strong> quantum gravity,Int. J. Mod. Phys. A12 (1997) 607–623, hep-th/9605211.[11] G. Amelino-Camelia, J. Ellis, N. E. Mavroma<strong>to</strong>s, D. V. Nanopoulos and S. Sarkar,Tests of quantum gravity from observations of γ -ray bursts, Nature 393 (1998)763–765, astro-ph/9712103.[12] R. Gambini and J. Pullin, Non-standard optics from quantum spacetime, Phys. Rev.D59 (1999) 124021, gr-qc/9809038.[13] J. Ellis, J. S. Hagelin, D. V. Nanopoulos and M. Srednicki, Search for violations ofquantum mechanics. Nucl. Phys. B 241 (1984) 381–405.[14] P. Huet and M. E. Peskin, Violation of CPT and quantum mechanics in the K 0 − K¯0system, Nucl. Phys. B 434 (1995) 3–38.[15] G. Amelino-Camelia, <strong>Gravity</strong>-wave interferometers as quantum-gravity detec<strong>to</strong>rs,Nature 398 (1999) 216, gr-qc/9808029.[16] G. Amelino-Camelia, Nature 410 (2001) 1065, gr-qc/0104086.[17] Y. J. Ng and H. van Dam, Measuring the foaminess of spacetime with gravity-waveinterferometers, Found. Phys. 30 (2000) 795, gr-qc/9906003.[18] J. Ellis, N. E. Mavroma<strong>to</strong>s, D. V. Nanopoulos and G. Volkov, Gen. Rel. Grav. 32(2000) 1777–1798.[19] S. Choubey and S. F. King, Gamma-ray bursts as probes of neutrino mass, quantumgravity and dark energy, Phys. Rev. D67 (2003) 073005.[20] G. Amelino-Camelia, Int. J. Mod. Phys. D12 (2003) 1633–1640.[21] U. Jacob and T. Piran, Nature Physics 3 (2007) 87.[22] G. Amelino-Camelia, Astroparticle physics: Neutrinos and quantum spacetime,Nature Physics 3 (2007) 81.[23] M. C. Gonzalez-Garcia and F. Halzen, Gamma ray burst neutrinos probing quantumgravity, hep-ph/0611359.[24] G. Amelino-Camelia, gr-qc/0205125; gr-qc/0309054.

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