The signature of superstring balls near mini black holes at LHC

Abstract

In this paper the information loss for fermionic superstrings “superstring balls” in mini black holes at LHC by extending the Gottesman and Preskill method to string theory and calculate the information transformation from the collapsing matter to the state of outgoing Hawking radiation is calculated. It is found that for all finite values of ω _n , all information from all string emission processes experiences some degree of loss. It means that the string model is not sufficient to solve the information-loss problem. Then the fermionic superstring states at corresponding point are considered. The correspondence principle offered a unique opportunity to test the Horowitz and Maldacena mechanism at correspondence point “the centre of mass energies around (M _s /(g _s )²)”. To consider the super string states, a copy of the original Hilbert space is constructed with a set of operators of creation/annihilation that have the same anticommutation properties as the original ones. The total Hilbert space is the tensor product of the two spaces H _physical ⊗H _unphysical , where in this case H _physical denotes the physical quantum states space of the fermionic string. It is shown that fermionic string states can be represented by a maximally entangled two-mode squeezed state of the physical and unphysical spaces of fermionic string. Also, the entropy for these string states is calculated. It is observed that black hole entropy matches the fermionic superstring entropy at transition point. This means that our result is consistent with correspondence principle and thus HM mechanism in string theory works. Finally the signature of fermionic string ball at LHC is studied. When superstring balls produce at LHC, they evaporate to Massive particles like Higgs boson. In fact string balls act as a factory for Higgs production. Then Higgs bosons decay to QCD matter. Thus an enhancement of QCD matter can be a signature of fermionic superstring ball at LHC.