Information Recovery with Hawking Radiation from Dynamical Horizons

Fermions and vector particles tunnelling from non-rotating weakly isolated horizons is investigated in this paper. By applying the WKB approximation to the Dirac equation and Proca equation, we obtain the emission spectrum and Hawking temperature of fermions and vector particles tunnelling from weakly isolated horizons. We consider the back reaction of emitted particles to the space-time, and get the corrected Hawking radiation spectrum. At last we discuss the information recovery of weakly isolated horizons.

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“…These two solutions are consistent with each other, which has been highlighted in Ref. [59]. Like Ref.…”

Section: Introductionsupporting

confidence: 82%

Fermions and vector particles tunnelling from non-rotating weakly isolated horizons

Chen

Huang

2019

Eur. Phys. J. C

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“…We also recall that consistence between the time evolution of our Bohr-like model and a recent approach to solve the BH information paradox [10,11,12,14] has been recently highlighted in [40].…”

Section: Conclusion Remarksmentioning

confidence: 84%

Time dependent Schrödinger equation for black hole evaporation: No information loss

Corda

2015

Annals of Physics

294

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In 1976 S. Hawking claimed that "Because part of the information about the state of the system is lost down the hole, the final situation is represented by a density matrix rather than a pure quantum state"1 . This was the starting point of the popular "black hole (BH) information paradox".In a series of papers, together with collaborators, we naturally interpreted BH quasi-normal modes (QNMs) in terms of quantum levels discussing a model of excited BH somewhat similar to the historical semiclassical Bohr model of the structure of a hydrogen atom. Here we explicitly write down, for the same model, a time dependent Schrödinger equation for the system composed by Hawking radiation and BH QNMs. The physical state and the correspondent wave function are written in terms of an unitary evolution matrix instead of a density matrix. Thus, the final state results to be a pure quantum state instead of a mixed one. Hence, Hawking's claim is falsified because BHs result to be well defined quantum mechanical systems, having ordered, discrete quantum spectra, which respect 't Hooft's assumption that Schröedinger equations can be 1 Verbatim from ref. 2 1 used universally for all dynamics in the universe. As a consequence, information comes out in BH evaporation in terms of pure states in an unitary time dependent evolution.In Section 4 of this paper we show that the present approach permits also to solve the entanglement problem connected with the information paradox.To the memory of the latter IFM Secretary Franco Pettini.

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“…the probability is maximum for two adjacent levels, as one can intuitively expect [39] . If one fixes m, the assumption of unitarity in BH evaporation permits the probabilities (23) to be normalized to the unity as…”

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confidence: 99%

Precise model of Hawking radiation from the tunnelling mechanism

Corda

2015

Class. Quantum Grav.

160

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We recently improved the famous result of Parikh and Wilczek, who found a probability of emission of Hawking radiation which is compatible with a non-strictly thermal spectrum, showing that such a probability of emission is really associated to two non-strictly thermal distributions for boson and fermions. Here we finalize the model by finding the correct value of the pre-factor of the Parikh and Wilczek probability of emission. In fact, that expression has the ∼ sign instead of the equality. In general, in this kind of leading order tunnelling calculations, the exponent arises indeed from the classical action and the pre-factor is an order Planck constant correction. But in the case of emissions of Hawking quanta, the variation of the Bekenstein-Hawking entropy is order 1 for an emitted particle having energy of order the Hawking temperature. As a consequence, the exponent in the Parikh and Wilczek probability of emission is order unity and one asks what is the real significance of that scaling if the pre-factor is unknown. Here we solve the problem assuming the unitarity of the black 1

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Information Recovery with Hawking Radiation from Dynamical Horizons

Cited by 8 publications

References 38 publications

Fermions and vector particles tunnelling from non-rotating weakly isolated horizons

Fermions and vector particles tunnelling from non-rotating weakly isolated horizons

Time dependent Schrödinger equation for black hole evaporation: No information loss

Precise model of Hawking radiation from the tunnelling mechanism

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