- 
								[1]
								V. A. Kostelecky and R. Potting, Phys. Rev. D 51, 3923 (1995) 
- 
								[2]
								G. Amelino-Camelia, Nature 408, 661 (2000) 
- 
								[3]
								P. K. Townsend, Phys. Rev. D 15, 2795 (1977) 
- 
								[4]
								G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002) 
- 
								[5]
								G. Amelino-Camelia, Nature Phys. 3, 81 (2007) 
- 
								[6]
								D. Colladay and V.A. Kostelecky, Phys. Rev. D 58, 116002 (1998) 
- 
								[7]
								G. Amelino-Camelia, Nature 418, 34 (2002) 
- 
								[8]
								V. A. Kostelecky and Stuart Samuel, Phys. Rev. D 39, 683 (1989) 
- 
								[9]
								J. Alfaro, M. Reyes, and H. A. Morales-Tecotl, L.F. Urrutia Phys. Rev. D 70, 084002 (2004) 
- 
								[10]
								M. Pospelov, Y. Shang Phys. Rev. D 85, 105001 (2012) 
- 
								[11]
								J. Alfaro, H. A. Morales-Tecotl, and L. F. Urrutia, Phys. Rev. Lett. 84, 2318 (2000) 
- 
								[12]
								G. Amelino-Camelia, Int. J. Mod. Phys. D 12, 1633 (2003) 
- 
								[13]
								G. Amelino-Camelia, J. R. Ellis, N. E. Mavromatos et al., Nature 393, 763 (1998) 
- 
								[14]
								A. A. Abdo, M. Ackermann, M. Ajello et.al, Nature 462, 331 (2009) 
- 
								[15]
								Z. Xiao and B-Q. Ma, Phys. Rev. D 80, 116005 (2009) 
- 
								[16]
								L. Shao, Z. Xiao, and B-Q. Ma, Astropart. Phys. 33, 312 (2010) 
- 
								[17]
								S. Zhang and B-Q. Ma, Astropart. Phys. 61, 108 (2014) 
- 
								[18]
								T. Jacobson, S. Liberati, and D. Mattingly, Nature 424, 1019 (2003) 
- 
								[19]
								U. Jacob and T. Piran, Nature Phys. 3, 87 (2007) 
- 
								[20]
								F. Allmendinger, W. Heil, S. Karpuk et al., Phys. Rev. Lett. 112, 110801 (2013) 
- 
								[21]
								Y-F. Li and Z-h. Zhao, Phys. Rev. D 90, 113014 (2014) 
- 
								[22]
								L. Shao, Phys. Rev. D 90, 122009 (2014) 
- 
								[23]
								K.S. Babu and R.N. Mohapatra, Phys. Rev. D 91, 096009 (2015) 
- 
								[24]
								C-G. Shao, Y-J. Tan, W-H. Tan et al., Phys. Rev. D 91, 102007 (2015) 
- 
								[25]
								J. B. Araujo, R. Casana, and M. M. Ferreira, Phys. Rev. D 92, 025049 (2015) 
- 
								[26]
								V. A. Kostelecky and J. D. Tasson, Phys. Lett. B 749, 551 (2015) 
- 
								[27]
								R. Aaij, C. A. Beteta, B. Adeva et.al, Phys. Rev. Lett. 116, 241601 (2016) 
- 
								[28]
								C-G. Shao, Y-F. Chen, Y-J. Tan et al., Phys. Rev. D 94, 104061 (2016) 
- 
								[29]
								W. Bietenholz, Phys. Rept. 505, 145 (2011) 
- 
								[30]
								G. Amelino-Camelia and T. Piran, Phys. Rev. D 64, 036005 (2001) 
- 
								[31]
								R. Shaniv and R. Ozeri, M.S. Safronova and S.G. Porsev Phys. Rev. Lett. 120, 103202 (2018) 
- 
								[32]
								L. Li, X. Li, B. Zhang et al., Phys. Rev. A 99, 042118 (2019) 
- 
								[33]
								G-P. Li, J. Pu, Q-Q. Jiang et al., Eur. Phys. J. C 77, 666 (2017) 
- 
								[34]
								S. W. Hawking, Nature 248, 30 (1974) 
- 
								[35]
								M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000) 
- 
								[36]
								M. Angheben, M. Nadalini, L. Vanzo et al., J. High Energy Phys. 0505, 014 (2005) 
- 
								[37]
								Q. Q. Jiang, Phys. Lett. B 666, 517 (2008) 
- 
								[38]
								D. Y. Chen, H. Yang, and X. T. Zu, Phys. Lett. B 681, 463 (2009) 
- 
								[39]
								B. Zhang, Q-Y. Cai, Li. You et al., Phys. Lett. B 675, 98 (2009) 
- 
								[40]
								B. Zhang, Q-Y. Cai, M-S. Zhan et al., Annals Phys. 326, 350 (2011) 
- 
								[41]
								B. Zhang, Q-Y. Cai, M-S. Zhan et al., Int. J. Mod. Phys. D 22, 1341014 (2013) 
- 
								[42]
								S. D. Mathur, Classical Quantum Gravity 28, 125010 (2011) 
- 
								[43]
								S. B. Giddings, Phys. Rev. D 73, 104027 (2006) 
- 
								[44]
								S. K. Modak, L. Ortíz, I. Peña et al., Gen. Rel. Grav. 47, 12 (2015) 
- 
								[45]
								H-L. Li and X-T. Zu, Astrophys. Space Sci. 357, 6 (2015) 
- 
								[46]
								H-L. Li, W. Li and Y-W. Han, Adv. High Energy Phys. 2018, 9247085 (2018) 
- 
								[47]
								Z-Y. Fu, H-L. Li, Y. Li et al., Eur. Phys. J. Plus 135, 125 (2020) 
- 
								[48]
								P. Bargueno and E. C. Vagenas, Phys. Lett. B 742, 15 (2015) 
- 
								[49]
								I. Pikovski, M. R. Vanner, M. Aspelmeyer et al., Nature Phys. 8, 393 (2012) 
- 
								[50]
								P. Pedram, Phys. Rev. D 92, 044004 (2015) 
- 
								[51]
								V. Balasubramanian, S. Das, and E. C. Vagenas, Annals. Phys. 360, 1 (2015) 
- 
								[52]
								Y. S. Myung, Phys. Lett. B 681, 81 (2009) 
- 
								[53]
								V. Husain, D. Kothawala, and S. S. Seahra, Phys. Rev. D 87, 025014 (2013) 
- 
								[54]
								M. A. Anacleto, F. A. Brito, and E. Passos, Phys. Lett. B 749, 181 (2015) 
- 
								[55]
								M. Bojowald and A. Kempf, Phys. Rev. D 86, 085017 (2012) 
- 
								[56]
								J. E. Lidsey, Phys. Rev. D 88, 103519 (2013) 
- 
								[57]
								M. V. Battisti and G. Montani, Phys. Rev. D 77, 023518 (2008) 
- 
								[58]
								G. Amelino-Camelia, M. Arzano, Y. Ling et al., Classical Quantum Gravity 23, 2585 (2006) 
- 
								[59]
								K. Nozaria and B. Fazlpour, Gen. Rel. Grav. 38, 1611 (2006) 
- 
								[60]
								D. Y. Chen, H. W. Wu, and H. T. Yang, J. Cosmol. Astropart. Phys. 03, 036 (2014) 
- 
								[61]
								D. J. Gross and P. F. Mende, Nucl. Phys. B 303, 407 (1988) 
- 
								[62]
								C. Rovelli, Living Rev. Rel. 1, 1 (1998) 
- 
								[63]
								A. Ashtekar and J. Lewandowski, Classical Quantum Gravity 21, R53 (2004) 
- 
								[64]
								G. Amelino-Camelia, M. Arzano, and A. Procaccini, Phys. Rev. D 70, 107501 (2004) 
- 
								[65]
								G. Amelino-Camelia, A. Procaccini, and M. Arzano, Int. J. Mod. Phys. D 13, 2337 (2004) 
- 
								[66]
								A. D. Kamali and P. Pedram, Gen. Rel. Grav. 48, 58 (2016) 
- 
								[67]
								B. R. Majhi and E. C. Vagenas, Phys. Lett. B 725, 477 (2013) 
- 
								[68]
								Y-F. Cai and X. Zhang, Phys. Rev. D 80, 043520 (2009) 
- 
								[69]
								A. S. Sefiedgar, K. Nozari, and H. R. Sepangi, Phys. Lett. B 696, 119 (2011) 
- 
								[70]
								G. Gubitosi and J. Magueijo, Phys. Rev. D 97, 063502 (2018) 
- 
								[71]
								G. Gubitosi and J. Magueijo, Phys. Rev. D 100, 123501 (2019) 
- 
								[72]
								K. Nozari and S. Saghafi, J. High Energy Phys. 11, 005 (2012) 
- 
								[73]
								M. K. Parikh, The Tenth Marcel Grossmann Meeting: 1585-1590 (2004) 
- 
								[74]
								S. I. Kruglov, Phys. Lett. B 718, 228 (2012) 
- 
								[75]
								R. Kerner and R. B. Mann, Phys. Lett. B 665, 277 (2008) 
- 
								[76]
								X-X. Zeng, X-Z. Hao, and S-Z. Yang, Int. J. Mod. Phys. D 17, 2079 (2008) 
- 
								[77]
								X-X. Zeng and S-Z. Yang, Gen. Rel. Grav. 40, 2017 (2008) 
- 
								[78]
								X-X. Zeng, Mod. Phys. Lett. A 24, 1605 (2009) 
- 
								[79]
								X-X. Zeng, X-Y. Hu, and K-J. He, Nucl. Phys. B 949, 114823 (2019) 
- 
								[80]
								X-X. Zeng, Y-W. Han, and D-Y. Chen, Chin. Phys. C 43, 105104 (2019) 
- 
								[81]
								E. C. Vagenas, Phys. Lett. B 559, 65 (2003) 
- 
								[82]
								S. Shankaranarayanan, K. Srinivasan, and T. Padmanabhan, Mod. Phys. Lett. A 16, 571 (2001) 
- 
								[83]
								R. Banerjee and S. Ghosh, Phys. Lett. B 688, 224 (2010) 
- 
								[84]
								P. Chen, Y. C. Ong, and D-h. Yeom, Phys. Rept. 603, 1 (2015) 
- 
								[85]
								K. Nouicer, Phys. Lett. B 646, 63 (2007) 
- 
								[86]
								Y. G. Miao, Y. J. Zhao, and S.J. Zhang, Adv. High. Energy. Phys. 2015, 627264 (2015) 
- 
								[87]
								R. J. Adler, P. Chen, and D.I. Santiago, Gen. Rel. Grav. 33, 2101 (2002) 
- 
								[88]
								A. J. M. Medved and E. C. Vagenas, Phys. Rev. D 70, 124021 (2004) 
- 
								[89]
								R. Banerjee and B. R. Majhi, J. High Energy Phys. 0806, 095 (2008) 
- 
								[90]
								A. Ghosh and P. Mitra, Phys. Lett. B 616, 114 (2005) 
- 
								[91]
								S. S. More, Classical Quantum Gravity 22, 4129 (2005) 
- 
								[92]
								Nucl. Phys. B 523, 293 (1998) 
- 
								[93]
								Y. S. Myung, Phys. Lett. B 678, 127 (2009) 
- 
								[94]
								A. Ashtekar, J. Baez, A. Corichi et al., Phys. Rev. Lett. 80, 904 (1998) 
- 
								[95]
								S. Mukherji and S. S. Pal, J. High Energy Phys. 0205, 026 (2002) 
- 
								[96]
								D. Singleton, E. C. Vagenas, T. Zhu et al., J. High Energy Phys. 1008, 089 (2010) 
- 
								[97]
								D. Harlow, Rev. Mod. Phys. 88, 15002 (2016) 
- 
								[98]
								Y-X. Chen and K-N. Shao, Phys. Lett. B 678, 131 (2009) 
- 
								[99]
								H-P. Yan and W-B. Liu, Phys. Lett. B 759, 293 (2016) 
- 
								[100]
								Q-Y. Cai, C-Y. Sun, and L. You, Nucl. Phys. B 905, 327 (2016) 
- 
								[101]
								A. Alonso-Serrano, M. P. D?browski, and H. Gohar, Phys. Rev. D 97, 044029 (2018) 
- 
								[102]
								S-S. Lee, J. High Energy Phys. 1810, 043 (2018) 
- 
								[103]
								A. Rahaman, Nucl. Phys. B 932, 119 (2018) 
- 
								[104]
								X-Y. Wang and W-B. Li, Nucl. Phys. B 943, 114614 (2019) 
- 
								[105]
								S. Hirano, Y. Lei, and S. V. Leuven, J. High Energy Phys. 1909, 070 (2019) 
- 
								[106]
								N. R. F. Braga, Phys. Lett. B 797, 134919 (2019) 
- 
								[107]
								H. Z. Chen, Z. Fisher, J. Hernandez et al., J. High Energy Phys. 2003, 152 (2020) 
- 
								[108]
								B. Zhang, Q-y. Cai, M-s. Zhan et al., Gen. Rel. Grav. 43, 797 (2011) 
- 
								[109]
								B. Zhang, Q. Cai, M. Zhan et al., Chin. Sci. Bull. 59, 1057 (2014) 
- 
								[110]
								L. Brillouin, Science and Information Theory, Academic Press, New York, (1956)