scholarly journals The Information Loss Problem: An Analogue Gravity Perspective

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 940 ◽  
Author(s):  
Stefano Liberati ◽  
Giovanni Tricella ◽  
Andrea Trombettoni
Keyword(s):  
Hilbert Space ◽  
Black Hole ◽  
Degrees Of Freedom ◽  
Particle Creation ◽  
Information Loss ◽  
Quantum Evolution ◽  
Unitary Evolution ◽  
Black Hole Evaporation ◽  
Analogue Gravity ◽  
Information Loss Problem

Analogue gravity can be used to reproduce the phenomenology of quantum field theory in curved spacetime and in particular phenomena such as cosmological particle creation and Hawking radiation. In black hole physics, taking into account the backreaction of such effects on the metric requires an extension to semiclassical gravity and leads to an apparent inconsistency in the theory: the black hole evaporation induces a breakdown of the unitary quantum evolution leading to the so-called information loss problem. Here, we show that analogue gravity can provide an interesting perspective on the resolution of this problem, albeit the backreaction in analogue systems is not described by semiclassical Einstein equations. In particular, by looking at the simpler problem of cosmological particle creation, we show, in the context of Bose–Einstein condensates analogue gravity, that the emerging analogue geometry and quasi-particles have correlations due to the quantum nature of the atomic degrees of freedom underlying the emergent spacetime. The quantum evolution is, of course, always unitary, but on the whole Hilbert space, which cannot be exactly factorized a posteriori in geometry and quasi-particle components. In analogy, in a black hole evaporation one should expect a continuous process creating correlations between the Hawking quanta and the microscopic quantum degrees of freedom of spacetime, implying that only a full quantum gravity treatment would be able to resolve the information loss problem by proving the unitary evolution on the full Hilbert space.

scholarly journals DOES BLACK HOLE EVAPORATION IMPLY THAT PHYSICS IS NONUNITARY, AND IF SO, WHAT MUST THE LAWS OF PHYSICS LOOK LIKE?

2009 ◽  
Vol 07 (05) ◽  
pp. 847-878 ◽  
Author(s):  
STEFFEN GIELEN
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Semiclassical Approximation ◽  
Momentum Conservation ◽  
Information Loss ◽  
Unitary Evolution ◽  
Black Hole Evaporation ◽  
Information Loss Paradox ◽  
Recent Developments ◽  
Energy Momentum Conservation

Stephen Hawking's discovery of black hole evaporation has the remarkable consequence that information is destroyed by a black hole, which can only be accommodated by modifying the laws of quantum mechanics. Different attempts to evade the information loss paradox were subsequently suggested, apparently without a satisfactory resolution of the paradox. On the other hand, attempting to include nonunitarity in quantum mechanics might lead to laws predicting observable consequences such as nonlocality or violation of energy–momentum conservation; but it may be possible to circumvent these obstacles. Recent developments seem to require a different view on quantum gravity and suggest that ideas about locality in physics and Hawking's semiclassical approximation are misleading. An accurate description may show unitary evolution and no information loss after all.

THE UNREASONABLE EFFECTIVENESS OF EXPONENTIALLY SUPPRESSED CORRECTIONS IN PRESERVING INFORMATION

2013 ◽  
Vol 22 (12) ◽  
pp. 1342030 ◽  
Author(s):  
KYRIAKOS PAPADODIMAS ◽  
SUVRAT RAJU
Keyword(s):  
Hilbert Space ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Nonperturbative Effects ◽  
Von Neumann Entropy ◽  
Von Neumann ◽  
Information Theoretic ◽  
Black Hole Evaporation ◽  
Strong Subadditivity ◽  
Unreasonable Effectiveness

We point out that nonperturbative effects in quantum gravity are sufficient to reconcile the process of black hole evaporation with quantum mechanics. In ordinary processes, these corrections are unimportant because they are suppressed by e-S. However, they gain relevance in information-theoretic considerations because their small size is offset by the corresponding largeness of the Hilbert space. In particular, we show how such corrections can cause the von Neumann entropy of the emitted Hawking quanta to decrease after the Page time, without modifying the thermal nature of each emitted quantum. Second, we show that exponentially suppressed commutators between operators inside and outside the black hole are sufficient to resolve paradoxes associated with the strong subadditivity of entropy without any dramatic modifications of the geometry near the horizon.

scholarly journals BLACK HOLE EVAPORATION BASED UPON A q-DEFORMATION DESCRIPTION

2005 ◽  
Vol 20 (26) ◽  
pp. 6039-6049 ◽  
Author(s):  
XIN ZHANG
Keyword(s):  
Black Hole ◽  
Degrees Of Freedom ◽  
Radiation Spectrum ◽  
Correlation Effect ◽  
Space Time ◽  
Noncommutative Space ◽  
Schwarzschild Black Hole ◽  
Black Hole Evaporation ◽  
Starting Point ◽  
New Distribution

A toy model based upon the q-deformation description for studying the radiation spectrum of black hole is proposed. The starting point is to make an attempt to consider the space–time noncommutativity in the vicinity of black hole horizon. We use a trick that all the space–time noncommutative effects are ascribed to the modification of the behavior of the radiation field of black hole and a kind of q-deformed degrees of freedom are postulated to mimic the radiation particles that live on the noncommutative space–time, meanwhile the background metric is preserved as usual. We calculate the radiation spectrum of Schwarzschild black hole in this framework. The new distribution deviates from the standard thermal spectrum evidently. The result indicates that some correlation effect will be introduced to the system if the noncommutativity is taken into account. In addition, an infrared cutoff of the spectrum is the prediction of the model.

scholarly journals Ontology in Quantum Mechanics

2021 ◽  
Author(s):  
Gerard ’t Hooft
Keyword(s):  
Hilbert Space ◽  
General Relativity ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Evolution Equations ◽  
Black Hole Physics ◽  
Special Kind ◽  
Quantum Evolution ◽  
The Standard Model ◽  
Low Energies

It is suspected that the quantum evolution equations describing the micro-world as we know it are of a special kind that allows transformations to a special set of basis states in Hilbert space, such that, in this basis, the evolution is given by elements of the permutation group. This would restore an ontological interpretation. It is shown how, at low energies per particle degree of freedom, almost any quantum system allows for such a transformation. This contradicts Bell’s theorem, and we emphasise why some of the assumptions made by Bell to prove his theorem cannot hold for the models studied here. We speculate how an approach of this kind may become helpful in isolating the most likely version of the Standard Model, combined with General Relativity. A link is suggested with black hole physics.

scholarly journals A quantum-corrected approach to black hole radiation via a tunneling process

2020 ◽  
Vol 2020 (4) ◽  
Author(s):  
Milad Hajebrahimi ◽  
Kourosh Nozari
Keyword(s):  
Black Hole ◽  
Electric Charge ◽  
Hawking Radiation ◽  
Quantum Correction ◽  
Black Hole Physics ◽  
Information Loss ◽  
Schwarzschild Black Hole ◽  
Tunneling Process ◽  
Black Hole Radiation ◽  
Information Loss Problem

Abstract In the language of black hole physics, Hawking radiation is one of the most controversial subjects about which there exist lots of puzzles, including the information loss problem and the question of whether this radiation is thermal or not. In this situation, a possible way to face these problems is to bring quantum effects into play, also taking into account self-gravitational effects in the scenario. We consider a quantum-corrected form of the Schwarzschild black hole inspired by the pioneering work of Kazakov and Solodukhin to modify the famous Parikh–Wilczek tunneling process for Hawking radiation. We prove that in this framework the radiation is not thermal, with a correlation function more effective than the Parikh–Wilczek result, and the information loss problem can be addressed more successfully. Also, we realize that quantum correction affects things in the same way as an electric charge. So, it seems that quantum correction in this framework has something to do with the electric charge.

scholarly journals VERTEX OPERATOR FORMULATION OF SCATTERING AROUND BLACK-HOLE

2010 ◽  
Vol 25 (14) ◽  
pp. 1169-1176 ◽  
Author(s):  
I. Y. PARK
Keyword(s):  
Black Hole ◽  
Perturbation Theory ◽  
Vertex Operator ◽  
Scattering Amplitude ◽  
Open String ◽  
Information Loss ◽  
Black Brane ◽  
Unitary Evolution ◽  
Black Hole Information ◽  
Set Up

We propose a full-fledged open string framework that seems suited to study the black hole information paradox. We set up a configuration to compute the scattering amplitude of a IIB open string around a D5-brane. The D5-brane is situated at the origin of a transverse D3-brane. A string perturbation theory is employed where the geometry of the D5-brane is treated as a potential. We reason that the setup is capable of reconciling the unitary evolution of states and information loss that is measured by an observer on the D3 brane. With the configurations of these kinds, the information loss is an apparent phenomenon: it is just a manifestation of the fact that the D3-observer does not have access to the "hair" of the D5 black brane.

scholarly journals INFORMATION STORAGE IN BLACK HOLES

2005 ◽  
Vol 14 (12) ◽  
pp. 2251-2255 ◽  
Author(s):  
M. D. MAIA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Information Loss ◽  
Information Storage ◽  
Evaporation Process ◽  
Black Hole Evaporation ◽  
Information Loss Paradox

The information loss paradox for Schwarzschild black holes is examined, using the ADS/CFT correspondence extended to the M6(4, 2) bulk. It is found that the only option compatible with the preservation of the quantum unitarity is when a regular remnant region of the black hole survives to the black hole evaporation process, where information can be stored and eventually retrieved.

INFORMATION LOSS AND TUNNELING RADIATION OF THE NON-STATIONARY DILATON–MAXWELL, BLACK HOLE

2007 ◽  
Vol 16 (08) ◽  
pp. 1295-1301 ◽  
Author(s):  
DEYOU CHEN ◽  
SHUZHENG YANG
Keyword(s):  
Black Hole ◽  
Gravitational Interaction ◽  
Information Loss ◽  
The Self ◽  
Jacobi Method ◽  
Black Hole Mass ◽  
Tunneling Radiation ◽  
Unitary Theory ◽  
Black Hole Evaporation ◽  
Background Space

Taking the self-gravitational interaction and unfixed background space–time into account, we discuss the tunneling radiation of the Dilaton–Maxwell black hole by the Hamilton–Jacobi method. The result shows that the tunneling rate is related not only to the change of Bekenstein–Hawking entropy, but also to a subtle integral about the black hole mass, which does not satisfy the unitary theory and is different from Parikh and Wilczek's result. This implies that information loss in black hole evaporation is possible.

scholarly journals Back-Reaction in Canonical Analogue Black Holes

2020 ◽  
Vol 10 (24) ◽  
pp. 8868
Author(s):  
Stefano Liberati ◽  
Giovanni Tricella ◽  
Andrea Trombettoni
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Density Distribution ◽  
Hawking Radiation ◽  
Einstein Condensate ◽  
Back Reaction ◽  
Unitary Evolution ◽  
Black Hole Evaporation ◽  
Bose Einstein Condensate ◽  
Bose Einstein

We study the back-reaction associated with Hawking evaporation of an acoustic canonical analogue black hole in a Bose–Einstein condensate. We show that the emission of Hawking radiation induces a local back-reaction on the condensate, perturbing it in the near-horizon region, and a global back-reaction in the density distribution of the atoms. We discuss how these results produce useful insights into the process of black hole evaporation and its compatibility with a unitary evolution.

Sign in / Sign up

Export Citation Format

Share Document