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Cold Black Holes in the Harlow-Hayden Approach to Firewalls
High Energy Physics - Theory · Submitted 19 Mar 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that, in one way or another, these black holes are always eventually destroyed in a time which, while long by normal standards, is short relative to the decoding time of Hawking radiation.
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The abstract, sentence by sentence
Firewalls are controversial principally because they seem to imply departures from general relativistic expectations in regions of spacetime where the curvature need not be particularly large. One of the virtues of the Harlow-Hayden approach to the firewall paradox, concerning the time available for decoding of Hawking radiation emanating from charged AdS black holes, is precisely that it operates in the context of cold black holes, which are not strongly curved outside the event horizon. Here we clarify this point. The approach is based on ideas borrowed from applications of the AdS/CFT correspondence to the quark-gluon plasma. Firewalls aside, our work presents a detailed analysis of the thermodynamics and evolution of evaporating charged AdS black holes with flat event horizons. We show that, in one way or another, these black holes are always eventually destroyed in a time which, while long by normal standards, is short relative to the decoding time of Hawking radiation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Firewalls are controversial principally because they seem to imply departures from general relativistic expectations in regions of spacetime where the curvature need not be particularly large. | background 1.00 | 0.04 | 0.03 | asserted 0.69 |
| s1 | One of the virtues of the Harlow-Hayden approach to the firewall paradox, concerning the time available for decoding of Hawking radiation emanating from charged AdS black holes, is precisely that it operates in the context of cold black holes, which are not strongly curved outside the event horizon. | background 0.72 | 0.14 | 0.11 | asserted 0.98 |
| s2 | Here we clarify this point. | contribution 0.76 | 0.50 | 0.02 | unclear 0.66 |
| s3 | The approach is based on ideas borrowed from applications of the AdS/CFT correspondence to the quark-gluon plasma. | method 0.61 | 0.08 | 0.02 | asserted 1.00 |
| s4 | Firewalls aside, our work presents a detailed analysis of the thermodynamics and evolution of evaporating charged AdS black holes with flat event horizons. | contribution 1.00 | 0.91 | 0.07 | asserted 0.96 |
| s5 | We show that, in one way or another, these black holes are always eventually destroyed in a time which, while long by normal standards, is short relative to the decoding time of Hawking radiation. | result 1.00 | 0.94 | 0.76 | asserted 1.00 |
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The paper
Original abstract
Firewalls are controversial principally because they seem to imply departures from general relativistic expectations in regions of spacetime where the curvature need not be particularly large. One of the virtues of the Harlow-Hayden approach to the firewall paradox, concerning the time available for decoding of Hawking radiation emanating from charged AdS black holes, is precisely that it operates in the context of cold black holes, which are not strongly curved outside the event horizon. Here we clarify this point. The approach is based on ideas borrowed from applications of the AdS/CFT correspondence to the quark-gluon plasma. Firewalls aside, our work presents a detailed analysis of the thermodynamics and evolution of evaporating charged AdS black holes with flat event horizons. We show that, in one way or another, these black holes are always eventually destroyed in a time which, while long by normal standards, is short relative to the decoding time of Hawking radiation.
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References
How the literature uses it
12 arXiv papers cite this in 36 sentences
Papers citing it · 29 sentences without a confident label
Contests it 1 paper
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The “cross section” defined with this scale is therefore proportional to[The derivation and argument in [ref] is incorrect, though the result is correct, and the general idea is contained therein.] $L^2$, which agrees with the result obtained by the rigorous quantum approach of [ref] .
How Anti-de Sitter Black Holes Reach Thermal Equilibrium · Evaporation Under A Completely Absorptive Boundary Condition · contest 0.79
Cites it as background 5 papers
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For some applications of this phase transition, see [ref] .
Hawking Evaporation Time Scale of Topological Black Holes in Anti-de Sitter Spacetime · A Subtler Case for Toral Black Holes · 0.87
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The AMPS argument has elicited a large number of responses (including a few [ref] to forms of the argument realized even before the AMPS paper), some of which appear to support the firewall idea [ref] , others seem rather agnostic or ambivalent [ref] , and yet others of which raise skepticism about it [ref] .
Excluding Black Hole Firewalls with Extreme Cosmic Censorship · Introduction · 0.92
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See also some follow-up works in [ref] .].
Generalized Uncertainty Principle: Implications for Black Hole Complementarity · Section · 0.91
What it cites · 73 sentences without a confident label
Builds on 1 paper
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We shall see that the hope expressed by HH is realised in a sense [the Seiberg-Witten effect discussed below is a greatly generalized version of the effect noted in [ref] ]; but the details are considerably more intricate than one might have expected.
Anti-de Sitter Fragmentation · Section · 0.86
Compares with 2 papers
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We shall see in this work that AdS-Reissner-Nordstr$ö$m black holes with flat event horizons also undergo an initial drop in temperature; however, the numerical data strongly indicate that, in this case, the temperature always falls, ultimately to arbitrarily small [but positive] values if no other effect disrupts the black hole[A similar pattern is observed in [ref] , even in the asymptotically flat case, though the physical argument there is very different to the one in this work.].
Charge-mass ratio bound and optimization in the Parikh-Wilczek tunneling model of Hawking radiation · Section · 0.93
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This simple expression for the cross-section agrees with the one given in [ref] .
Quantum Properties of Topological Black Holes · Section · 0.98
Cites as support 1 paper
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Fortunately, the AdS-Reissner-Nordstr$ö$m black holes with toral or planar event horizons, those which are in fact the ones used in applications of holography to quark matter, do not suffer from this defect [ref] .
Bounding the Temperatures of Black Holes Dual to Strongly Coupled Field Theories on Flat Spacetime · Section · 0.98
Cites as background 25 papers
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In particular, quantum information theory is much concerned with the time required to decode a signal, and, in a work which has attracted much attention, Harlow and Hayden [ref] [see also [ref] ] have proposed that this could be a key issue.
Quantum Computation vs. Firewalls · Section · 0.82
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In particular, quantum information theory is much concerned with the time required to decode a signal, and, in a work which has attracted much attention, Harlow and Hayden [ref] [see also [ref] ] have proposed that this could be a key issue.
Black Hole Complementarity and the Harlow-Hayden Conjecture · Section · 0.82
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There are two obvious possible fates for the information associated with a black hole: it may simply be lost [ref] , or it may, by some very subtle process which may or may not involve firewalls [ref] , be completely preserved.
Astrophysical black holes may radiate, but they do not evaporate · Section · 0.86
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