In this paper,by introducing the Lorentz-invariance-violation(LIV)class of dispersion relations(DR)suppressed by the second power(E/Eqg)2,we investigated the effect of the LIV on the Hawking radiation of a charged Dir...In this paper,by introducing the Lorentz-invariance-violation(LIV)class of dispersion relations(DR)suppressed by the second power(E/Eqg)2,we investigated the effect of the LIV on the Hawking radiation of a charged Dirac particle based on tunneling from a Reissner-Nordstrom(RN)black hole.It was determined that the LIV speeds up black hole evaporation.As a result,the induced Hawking temperature was very sensitive to changes in the energy of the radiation particle.However,at the same energy level,it was insensitive to changes in the charge of the radiation particle.This is phenomenological evidence in support of the LIV-DR as a candidate for describing the effect of quantum gravity.Moreover,when the effect of the LIV was in eluded,we discovered that the statistical correlations with the Planck-scale corrections between successive emissions could leak out information via radiation.We also determined that black hole radiation via tunneling is an entropy conservation process,and no information loss occurred during radiation,where the interpretatio n of the entropy of a biack hole is addressed.Fin ally,we concluded that black hole evaporation is still a unitary process in the context of quantum gravity.展开更多
基金Supported by the National Natural Science Foundation of China(11903025)by the starting fund of China West Normal University(18Q062)+1 种基金by the Natural Science Foundation of Sichuan Education Department(17ZA0294)by the Research Project of Si Chuan MinZu College(XYZB18003ZA)。
文摘In this paper,by introducing the Lorentz-invariance-violation(LIV)class of dispersion relations(DR)suppressed by the second power(E/Eqg)2,we investigated the effect of the LIV on the Hawking radiation of a charged Dirac particle based on tunneling from a Reissner-Nordstrom(RN)black hole.It was determined that the LIV speeds up black hole evaporation.As a result,the induced Hawking temperature was very sensitive to changes in the energy of the radiation particle.However,at the same energy level,it was insensitive to changes in the charge of the radiation particle.This is phenomenological evidence in support of the LIV-DR as a candidate for describing the effect of quantum gravity.Moreover,when the effect of the LIV was in eluded,we discovered that the statistical correlations with the Planck-scale corrections between successive emissions could leak out information via radiation.We also determined that black hole radiation via tunneling is an entropy conservation process,and no information loss occurred during radiation,where the interpretatio n of the entropy of a biack hole is addressed.Fin ally,we concluded that black hole evaporation is still a unitary process in the context of quantum gravity.