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Showing papers on "Black hole information paradox published in 2006"


Journal ArticleDOI
TL;DR: It is shown that in order to avoid a breakdown of general covariance and gauge invariance at the quantum level the total flux of charge and energy in each outgoing partial wave of a charged quantum field in a Reissner-Nordström black hole background must be equal to that of a (1 + 1)-dimensional blackbody at the Hawking temperature with the appropriate chemical potential.
Abstract: Extending the method of Robinson and Wolczek, we show that in order to avoid a breakdown of general covariance and gauge invariance at the quantum level the total flux of charge and energy in each outgoing partial wave of a charged quantum field in a Reissner-Nordstr\"om black hole background must be equal to that of a ($1+1$)-dimensional blackbody at the Hawking temperature with the appropriate chemical potential.

286 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigated the non-locality needed to restore unitarity to black hole evolution and found that such dynamics arise from ultra-Planckian modes in Hawking's derivation.
Abstract: The black hole information paradox apparently indicates the need for a fundamentally new ingredient in physics. The leading contender is nonlocality. Possible mechanisms for the nonlocality needed to restore unitarity to black hole evolution are investigated. Suggestions that such dynamics arise from ultra-Planckian modes in Hawking's derivation are investigated and found not to be relevant, in a picture using smooth slices spanning the exterior and interior of the horizon. However, no simultaneous description of modes that have fallen into the black hole and outgoing Hawking modes can be given without appearance of a large kinematic invariant, or other dependence on ultra-Planckian physics. This indicates that a reliable argument for information loss has not been constructed, and that strong gravitational dynamics is important. Such dynamics has been argued to be fundamentally nonlocal in extreme situations, such as those required to investigate the fate of information.

180 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigated the perturbative dynamics of gravity for high-energy scattering and in black hole backgrounds. But their analysis was limited to the case when the impact parameter reaches the Schwarzschild radius, and it was shown that nonperturbative gravity is intrinsically nonlocal.
Abstract: Perturbative dynamics of gravity is investigated for high-energy scattering and in black hole backgrounds. In the latter case, a straightforward perturbative analysis fails, in a close parallel to the failure of the former when the impact parameter reaches the Schwarzschild radius. This suggests a flaw in a semiclassical description of physics on spatial slices that intersect both outgoing Hawking radiation and matter that has carried information into a black hole; such slices are instrumental in a general argument for black hole information loss. This indicates a possible role for the proposal that nonperturbative gravitational physics is intrinsically nonlocal.

68 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that if a black hole entropy arises from a finite number of underlying quantum states, then any particular such state can be identified from infinity, and that such a state is not degenerate except as determined by symmetries.
Abstract: We argue that if black hole entropy arises from a finite number of underlying quantum states, then any particular such state can be identified from infinity. The finite density of states implies a discrete energy spectrum, and, in general, such spectra are non-degenerate except as determined by symmetries. Therefore, knowledge of the precise energy, and of other commuting conserved charges, determines the quantum state. In a gravitating theory, all conserved charges including the energy are given by boundary terms that can be measured at infinity. Thus, within any theory of quantum gravity, no information can be lost in black holes with a finite number of states. However, identifying the state of a black hole from infinity requires measurements with Planck scale precision. Hence observers with insufficient resolution will experience information loss.

58 citations


Journal ArticleDOI
TL;DR: In this article, the Bekenstein-Hawking entropy was used to restore unitarity in the gravity side by suppressing nonlocal effects whose initial magnitude is suppressed by the exponential of the entropy, and the resulting bounds imply that non-local effects do not lead to observable violations of causality or conflict with the equivalence principle for infalling observers.
Abstract: String theory provides numerous examples of duality between gravitational theories and unitary gauge theories. To resolve the black hole information paradox in this setting, it is necessary to better understand how unitarity is implemented on the gravity side. We argue that unitarity is restored by nonlocal effects whose initial magnitude is suppressed by the exponential of the Bekenstein-Hawking entropy. Time-slicings for which effective field theory is valid are obtained by demanding the mutual back-reaction of quanta be small. The resulting bounds imply that nonlocal effects do not lead to observable violations of causality or conflict with the equivalence principle for infalling observers, yet implement information retrieval for observers who stay outside the black hole.

54 citations


Journal ArticleDOI
TL;DR: In this article, the authors adopted the tunneling framework to investigate the Hawking radiation and calculated the emission rate which massive particles tunnel across the event horizon of the Schwarzschild black hole.
Abstract: In this paper the tunneling framework is adopted to investigate the Hawking radiation. The emission rate which massive particles tunnel across the event horizon of the Schwarzschild black hole is calculated. It is consistent with an underlying unitary theory and takes the same functional form as that of massless particles.

41 citations


Journal ArticleDOI
TL;DR: In this paper, it was shown that the internal stationary state of the Schwarzschild black hole can be represented by a maximally entangled two-mode squeezed state of collapsing matter and infalling Hawking radiation, and the final boundary condition at the singularity is described by the random unitary transformation acting on the collapsing matter field.
Abstract: It is shown that the internal stationary state of the Schwarzschild black hole can be represented by a maximally entangled two-mode squeezed state of collapsing matter and infalling Hawking radiation. The final boundary condition at the singularity is then described by the random unitary transformation acting on the collapsing matter field. The outgoing Hawking radiation is obtained by the final-state projection on the total wave function, which looks like a quantum teleportation process without the classical information transmitted. The black hole evaporation process as seen by the observer outside the black hole is now a unitary process but nonlocal physics is required to transmit the information outside the black hole. It is also shown that the final-state projection by the evaporation process is strongly affected by the quantum state outside the event horizon, which clearly violates the locality principle.

37 citations


Journal ArticleDOI
TL;DR: In this article, the Parikh-Wilczek tunnelling framework was investigated again and it was shown that the factual emission process is irreversible, the unitary theory will not be satisfied and information loss is possible.
Abstract: Parikh–Wilczek tunnelling framework is investigated again. We argue that Parikh–Wilczek's treatment, which satisfies the first law of black hole thermodynamics and consists with an underlying unitary theory, is only suitable for a reversible process. Due to the negative heat capacity, an evaporating black hole is a highly unstable system. That is, the factual emission process is irreversible, the unitary theory will not be satisfied and information loss is possible.

36 citations


Posted Content
TL;DR: In this paper, the authors revisited the issue of the RHIC ''fireball'' as a dual black hole and explained some of the details, and discussed the nature of the (black hole) information paradox as a purely field theory (gauge theory) phenomenon.
Abstract: We revisit the issue of the RHIC ``fireball'' as a dual black hole, and explain some of the details. We discuss the nature of the (black hole) information paradox as a purely field theory (gauge theory) phenomenon and how the paradox can be formulated in exactly the same way for the RHIC fireball and a black hole. We stress the differences between the black holes produced in the gravity dual and the equilibrium situation of the Witten construction for finite temperature AdS-CFT. We analyze the thermodynamics of the fireball, give more arguments why $T_{fireball}\propto m_{\pi}$, including an effective field theory one, and explain what entropy=area/4 means experimentally for the fireball.

27 citations


Journal ArticleDOI
01 Oct 2006-EPL
TL;DR: In this article, the authors applied the method of Parikh et al. to study the Hawking radiation of a Kerr-Newman-de Sitter (KNdS) black hole as a tunneling process.
Abstract: Applying the method of Parikh et al., we study the Hawking radiation of a Kerr-Newman-de Sitter (KNdS) black hole as a tunneling process. Higher-order corrections to the emission rate exist and the corrected radiation spectrum deviates from the precisely thermal spectrum. The result is consistent with an underlying unitary theory and compatible with the results obtained earlier.

19 citations


Journal ArticleDOI
TL;DR: In this article, the authors introduce the Schwarzschild black hole and the various coordinate systems used for its description, with a detailed account of how this evolves as the hole evaporates.
Abstract: The evaporation of a black hole formed by the collapse of matter is a nonunitary process involving loss of information. At least, this is how it appears in Hawking's semiclassical description, in which gravity is not quantized and the emergent radiation appears thermal. Since unitarity is one of the pillars of quantum mechanics there has been an understandable reluctance to accept this as an ironclad conclusion. Conformal field theories in flat space are manifestly unitary, and the AdS/CFT correspondence therefore suggests that the information trapped in the depths of the hole must find some way to escape—a conclusion almost universally accepted today, at least among particle theorists. Just how it could escape remains a mystery, however, since nothing can escape without violating causality until the black hole has shrunk too far to hold much information. Gerard 't Hooft and the senior author of this book, Leonard Susskind, have been vocal advocates of the view that the information paradox poses a real crisis for physics requiring significant paradigm shifts. They suggest that locality must be given up as an objective property of physical phenomena (even on large scales) and replaced by a new principle of 'black hole complementarity'. Specifically, there are two very different ways to view the process of collapse and evaporation. To a free-falling observer, nothing unusual happens at the horizon and matter and information fall deep into the hole. To a stationary observer hovering just outside the hole it appears instead that the matter and information are deposited on the horizon (which he experiences as very hot because of his large acceleration), to be eventually re-emitted from there as Hawking radiation. According to 't Hooft and Susskind, these must be viewed as equally valid, 'complementary' descriptions of the same process. Black hole complementarity is essentially the statement (supported by operational arguments) that their simultaneous validity cannot lead to inconsistencies. Students and non-specialists will welcome this book, which provides an entry into this fascinating realm at a level that can be enjoyed by an enterprising undergraduate. The first chapter introduces the Schwarzschild black hole and the various coordinate systems used for its description. In four brief chapters (29 pages) the authors then manage a clear presentation of the thermal properties of quantum fields in Rindler and Schwarzschild space that skirts the operator formalism of QFT. Two further chapters treat charged black holes and the stretched-horizon description of black hole electrodynamics. Chapter 8, 'The Laws of Nature', explains how information is quantified, the quantum xerox principle and the entanglement entropy of black holes, with a detailed account of how this evolves as the hole evaporates. This sets the stage for a discussion of the black hole information puzzle and the complementarity principle in chapter 9. The pace heats up in the second part of the book, which in 48 pages sketches a variety of topics: Bousso's entropy bound and holography, the AdS/CFT correspondence, a 13 page introduction to string theory and the ideas underlying the string-based derivations of the entropy–area relation for higher-dimensional black holes. This well-planned, stimulating and sometimes provocative book can be enthusiastically recommended.

Journal ArticleDOI
TL;DR: In this article, it was shown that in a world where measurements are relational, as is the case in gravitation, quantum mechanics exhibits a fundamental level of loss of coherence, which can be the key to solving the puzzles posed by the black hole information paradox, the formation of inhomogeneities in cosmology and the measurement problem in quantum mechanics.
Abstract: Unitarity is a pillar of quantum theory. Nevertheless, it is also a source of several of its conceptual problems. We note that in a world where measurements are relational, as is the case in gravitation, quantum mechanics exhibits a fundamental level of loss of coherence. This can be the key to solving, among others, the puzzles posed by the black hole information paradox, the formation of inhomogeneities in cosmology and the measurement problem in quantum mechanics.

Journal ArticleDOI
TL;DR: In this article, it was shown that in a world where measurements are relational, as is the case in gravitation, quantum mechanics exhibits a fundamental level of loss of coherence, which can be the key to solving the puzzles posed by the black hole information paradox, the formation of inhomogeneities in cosmology and the measurement problem in quantum mechanics.
Abstract: Unitarity is a pillar of quantum theory. Nevertheless, it is also a source of several of its conceptual problems. We note that in a world where measurements are relational, as is the case in gravitation, quantum mechanics exhibits a fundamental level of loss of coherence. This can be the key to solving, among others, the puzzles posed by the black hole information paradox, the formation of inhomogeneities in cosmology and the measurement problem in quantum mechanics.

Posted Content
TL;DR: In this article, a modified generalized uncertainty principle with two parameters was proposed to determine the subleading corrections to the Bekenstein-Hawking entropy by considering the topological information of a Calabi-Yau manifold.
Abstract: In this paper we propose a way of determining the subleading corrections to the Bekenstein-Hawking black hole entropy by considering a modified generalized uncertainty principle with two parameters. In the context of modified generalized uncertainty principle, coefficients of the correction terms of black hole entropy are written in terms of combination of the parameters. We also calculate corrections to the Stefan-Boltzman law of Hawking radiation corresponding to modified generalized uncertainty principle. By comparing the entropy with one from black holes in string theory compactified on a Calabi-Yau manifold, we point out that the topological information of the compactified space can not easily be related to the parameters in modified generalized uncertainty principle.

Journal ArticleDOI
TL;DR: In this paper, a non-self-interacting matter field was considered as the Hawking field, and the authors showed that the entropy increase of the non-Self-Interacting Hawking field is faster than the entropy decrease of the black hole during the evaporation in empty space.
Abstract: When a black hole is in an empty space in which there is no matter field except that of the Hawking radiation (Hawking field), then the black hole evaporates and the entropy of the black hole decreases. The generalized second law guarantees the increase of the total entropy of the whole system which consists of the black hole and the Hawking field. That is, the increase of the entropy of the Hawking field is faster than the decrease of the black hole entropy. In a naive sense, one may expect that the entropy increase of the Hawking field is due to the self-interaction among the composite particles of the Hawking field, and that the self-relaxation of the Hawking field results in the entropy increase. Then, when one considers a non-self-interacting matter field as the Hawking field, it is obvious that self-relaxation does not take place, and one may think that the total entropy does not increase. However, using nonequilibrium thermodynamics which has been developed recently, we find for the non-self-interacting Hawking field that the rate of entropy increase of the Hawking field (the entropy emission rate by the black hole) grows faster than the rate of entropy decrease of the black hole during the black hole evaporation in empty space. The origin of the entropy increase of the Hawking field is the increase of the black hole temperature. Hence an understanding of the generalized second law in the context of nonequilibrium thermodynamics is suggested; even if the self-relaxation of the Hawking field does not take place, the temperature increase of the black hole during the evaporation process causes the entropy increase of the Hawking field to result in the increase of the total entropy.

Proceedings ArticleDOI
TL;DR: In this paper, a progress report of research on spacetime fluctuations induced by quantum fields in an evaporating black hole and a black hole in quasi-equilibrium with its Hawking radiation is given.
Abstract: We give a progress report of our research on spacetime fluctuations induced by quantum fields in an evaporating black hole and a black hole in quasi-equilibrium with its Hawking radiation. We note the main issues involved in these two classes of problems and outline the key steps for a systematic quantitative investigation. This report contains unpublished new ideas for further studies.

Book ChapterDOI
01 Jan 2006
TL;DR: In the black hole where an apparent conflict between Einstein's General Relativity and the laws of Quantum Mechanics becomes manifest, a modification of general relativity is proposed in this article, where the authors show that a black hole should be described by a Schrodinger equation with a Hermitean Hamiltonian.
Abstract: In electromagnetism, like charges repel, opposite charges attract A remarkable feature of the gravitational force is that like masses attract This gives rise to an instability: the more mass you have, the stronger the attractive force, until an inevitable implosion follows, leading to a “black hole” It is in the black hole where an apparent conflict between Einstein’s General Relativity and the laws of Quantum Mechanics becomes manifest Most physicists now agree that a black hole should be described by a Schrodinger equation, with a Hermitean Hamiltonian, but this requires a modification of general relativity Both General Relativity and Quantum mechanics are shaking on their foundations

Journal ArticleDOI
TL;DR: In this paper, a product CFT of the form CFTL⊗CFTR, where CFTR is associated with the asymptotically AdS boundary, and CFTRL is the null circle lying at the end of the BTZ black hole's infinite throat.
Abstract: In the context of AdS3/CFT2, we address spacetimes with a certain sort of internal infinity as typified by the extreme BTZ black hole. The internal infinity is a null circle lying at the end of the black hole's infinite throat. We argue that such spacetimes may be described by a product CFT of the form CFTL⊗CFTR, where CFTR is associated with the asymptotically AdS boundary while CFTL is associated with the null circle. Our particular calculations analyze the CFT dual of the extreme BTZ black hole in a linear toy model of AdS3/CFT2. Since the BTZ black hole is a quotient of AdS3, the dual CFT state is a corresponding quotient of the CFT vacuum state. This state turns out to live in the aforementioned product CFT. We discuss this result in the context of general issues of AdS/CFT duality and entanglement entropy.

Journal ArticleDOI
TL;DR: In this article, it was shown that if a black hole entropy arises from a finite number of underlying quantum states, then any particular such state can be identified from infinity, and that such a state is not degenerate except as determined by symmetries.
Abstract: We argue that if black hole entropy arises from a finite number of underlying quantum states, then any particular such state can be identified from infinity. The finite density of states implies a discrete energy spectrum, and, in general, such spectra are non-degenerate except as determined by symmetries. Therefore, knowledge of the precise energy, and of other commuting conserved charges, determines the quantum state. In a gravitating theory, all conserved charges including the energy are given by boundary terms that can be measured at infinity. Thus, within any theory of quantum gravity, no information can be lost in black holes with a finite number of states. However, identifying the state of a black hole from infinity requires measurements with Planck scale precision. Hence, observers with insufficient resolution will experience information loss.

Journal ArticleDOI
TL;DR: In this paper, the authors studied the Hawking radiation via tunnelling from a uniformly accelerating black hole and proposed a new technique to calculate the emission rate and the result obtained is reasonable.
Abstract: In this paper, we study the Hawking radiation via tunnelling from a uniformly accelerating black hole. Although the Bekenstein–Hawking entropy is proportional also to the area of the event horizon, the radius of it, rH, is a function of θ, which leads to the difficulties in the calculation of the emission rate. In order to overcome the mathematical difficulties, we propose a new technique to calculate the emission rate and the result obtained is reasonable.

Proceedings ArticleDOI
TL;DR: In this paper, the authors proposed a dual thermodynamics corresponding to black hole mechanics with the identifications E' -> A/4, S' -> M, and T' -> 1/T in Planck units.
Abstract: We propose dual thermodynamics corresponding to black hole mechanics with the identifications E' -> A/4, S' -> M, and T' -> 1/T in Planck units. Here A, M and T are the horizon area, mass and Hawking temperature of a black hole and E', S' and T' are the energy, entropy and temperature of a corresponding dual quantum system. We show that, for a Schwarzschild black hole, the dual variables formally satisfy all three laws of thermodynamics, including the Planck-Nernst form of the third law requiring that the entropy tend to zero at low temperature. This is in contrast with traditional black hole thermodynamics, where the entropy is singular. Once the third law is satisfied, it is straightforward to construct simple (dual) quantum systems representing black hole mechanics. As an example, we construct toy models from one dimensional (Fermi or Bose) quantum gases with N ~ M in a Planck scale box. In addition to recovering black hole mechanics, we obtain quantum corrections to the entropy, including the logarithmic correction obtained by previous papers. The energy-entropy duality transforms a strongly interacting gravitational system (black hole) into a weakly interacting quantum system (quantum gas) and thus provides a natural framework for the quantum statistics underlying the holographic conjecture.

Journal ArticleDOI
TL;DR: In this paper, the authors extend the model to study the Hawking radiation of charged particles via tunneling from arbitrarily dimensional Reissner-Nordstrom black holes, and obtain the same result as Parikh-Wilzcek's.
Abstract: Parikh-Wilzcek’s recent work, which treats the Hawking radiation as semi-classical tunneling process from the event horizon of four dimensional Schwarzshild and Reissner- Nordstrom black hole, indicates that self-gravitation gives a correction to the Hawking precisely thermal spectrum and the tunneling rate is related to the change of Bekenstein- Hawking, but satisfies the underlying unitary theory. In this paper, we extend the model to study the Hawking radiation of charged particles via tunneling from arbitrarily dimensional Reissner-Nordstrom black holes, and obtain the same result as Parikh-Wilzcek’s. Meanwhile, in this framework, we point out that the first law of the black hole thermodynamics is reliable and the information conservation is only suitable for the reversible process.

Posted Content
TL;DR: In this article, a new approach to investigation of these two theories -density matrix deformation -was proposed, where the density matrix is subjected to deformation, rather than commutators or (that is the same) Heisenberg's Algebra.
Abstract: The subject of this study is Quantum and Statistical Mechanics of the Early Universe. In it a new approach to investigation of these two theories - density matrix deformation - is proposed. The distinguishing feature of the proposed approach as compared to the previous ones is the fact that here the density matrix is subjected to deformation, rather than commutators or (that is the same) Heisenberg's Algebra. The deformation is understood as an extension of a particular theory by inclusion of one or several additional parameters in such a way that the initial theory appears in the limiting transition. Some consequences of this approach for unitarity problem in Early Universe,black hole entropy, information paradox problem,for symmetry restoration in the associated deformed field model with scalar field are proposed.

01 Jan 2006
TL;DR: The Black Hole enigma has produced many paradoxes since its inception by John Michell in 1783 as mentioned in this paper, and each paradox was resolved and our understanding about black holes matured, new paradoxes arose.
Abstract: The Black Hole enigma has produced many paradoxes since its inception by John Michell in 1783. As each paradox was resolved and our understanding about black holes matured, new paradoxes arose. A consensus regarding the resolution of some conundrums such as the Naked Singularity Paradox and the Black Hole Lost Information Paradox (LIP) has still not been achieved. Black hole complementarity as related to the LIP and the LIP itself are challenged by gravitational tunneling radiation. Where possible, the paradoxes will be presented in historical context presenting the interplay of competing perspectives such as those of Bekenstein, Belinski, Chandrasekar, Finkelstein, Hawking, Maldacena, Page, Penrose, Preskill, Susskind, 't Hooft, Veneziano , Wald, Winterberg, Yilmaz, and others. The simplest possible equation G ρh/ 90 is obtained for Hawking radiation. The average kinetic energy of emitted particles may have a feature in common with thermionic emission. A broad range of topics will be covered including: Why can or can't the formation of a black hole be observed? Can one observe a naked singularity like the one clothed by a black hole? What can come out of, or seem to come out of, a black hole? What happens to the information that falls into a black hole? Doesn't the resolution of the original black hole entropy paradox introduce an equally challenging puzzle? Related anomalies in the speed of light, the speed of gravity, the speed of inflation, and Mach's principle are considered. Black hole entropy violation of the Nernst heat theorem is virtual As we shall see, these paradoxes have served as an incentive for research to sharpen our thinking, and even to promote the development of new theoretical and experimental physics. A reasonable number of paradoxes are a good thing. But too many paradoxes requiring manifold patchwork fixes may augur basic flaws/inconsistencies that signal the need for a fundamental paradigm shift.


Posted Content
TL;DR: In this paper, the incompatibility between gravity and quantum coherence represented by black holes should be solved by a consistent quantum theory that contains gravity as superstring theory and indicate non trivial physical possibilities towards its solution that are suggested by string theory.
Abstract: The incompatibility between gravity and quantum coherence represented by black holes should be solved by a consistent quantum theory that contains gravity as superstring theory. Despite many encouraging results in that sense, I question here the general feeling of a naive resolution of the paradox. And indicate non trivial physical possibilities towards its solution that are suggested by string theory and may be further investigated in its context.


Posted Content
TL;DR: Giddings et al. as discussed by the authors used the entropy, computed from elements of the density matrix of the stress tensor, to derive the missing information in outgoing Hawking radiation and showed that these elements can be derived in a controlled semiclassical approximation.
Abstract: Hawking’s argument for black hole information loss is reassessed. A precise characterization of missing information in outgoing Hawking radiation is the entropy, computed from elements of the density matrix. The statement that these elements can be derived in a controlled semiclassical approximation is examined via a calculation of matrix elements of the stress tensor, and argued to be flawed because of large fluctuations in these quantities. Consequently, we lack a sharp derivation of information loss. The calculation moreover exhibits features of black hole complementarity. Fluctuations that have important interactions with infalling matter are those whose blueshifts produce cross-sections comparable to the size of the black hole, for example through strong gravitational dynamics. Together with previous arguments that local quantum field theory breaks down in such circumstances, as parametrized by the “locality bound,” this suggests a general argument for unitarity based on failure of locality. ⋆ Email address: giddings@physics.ucsb.edu

Posted Content
TL;DR: In this article, a final state boundary condition was proposed for the fermions by imposing a local measurement with post selection, which can be seen as the post selection determined by random unitary transformation.
Abstract: The black hole information paradox is the result of contradiction between Hawking's semi-classical argument, which dictates that the quantum coherence should be lost during the black hole evaporation and the fundamental principles of quantum mechanics, the evolution of pure states to pure states. For over three decades, this contradiction has been one of the major obstacles to the ultimate unification of quantum mechanics and general relativity. Recently, a final-state boundary condition inside the black hole was proposed to resolve this contradiction for bosons. However, no such a remedy exists for fermions yet even though Hawking effect for fermions has been studied for sometime. Here, I report that the black hole information paradox can be resolved for the fermions by imposing a final state boundary condition, which resembles local measurement with post selection. In this scenario, the evaporation can be seen as the post selection determined by random unitary transformation. It is also found that the evaporation processes strongly depends on the boundary condition at the event horizon. This approach may pave the way towards the unified theory for the resolution of information paradox and beyond.

Journal ArticleDOI
TL;DR: In this paper, the authors extended Parikh-Wilzcek's work to research the Hawking radiation via tunneling from new form of rotating Kerr-Newman solution and obtain a corrected radiant spectrum, which is related to the change of Bekenstein-Hawking entropy, and is not pure thermal, but is consistent with the underlying unitary theory.
Abstract: Parikh–Wilzcek's recent work, which treats the Hawking radiation as semi-classical tunneling process from the event horizon of static Schwarzshild and Reissner–Nordstrom black holes, indicates that the factually radiant spectrum deviates from the precisely thermal spectrum after taking the self-gravitation interaction into account. In this paper, we extend Parikh–Wilzcek's work to research the Hawking radiation via tunneling from new form of rotating Kerr–Newman solution and obtain a corrected radiant spectrum, which is related to the change of Bekenstein–Hawking entropy, and is not pure thermal, but is consistent with the underlying unitary theory. Meanwhile, we point out that the information conservation is only suitable for the reversible process and in highly unstable evaporating black hole (irreversible process) the information loss is possible.