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A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
High Energy Physics - Theory · Submitted 10 May 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Depending on the value of this constant one can get either Bekenstein's lower bound or Hod's one for the change in the black hole area.
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The abstract, sentence by sentence
In the framework of tunneling mechanism and employing Bekenstein's general expression for the variation of the black hole area, we determine the area quantum up to a constant. Depending on the value of this constant one can get either Bekenstein's lower bound or Hod's one for the change in the black hole area.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the framework of tunneling mechanism and employing Bekenstein's general expression for the variation of the black hole area, we determine the area quantum up to a constant. | contribution 0.69 | 0.92 | 0.46 | asserted 1.00 |
| s1 | Depending on the value of this constant one can get either Bekenstein's lower bound or Hod's one for the change in the black hole area. | interpretation 0.62 | 0.43 | 0.45 | hedged possibility 0.78 |
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The paper
Original abstract
In the framework of tunneling mechanism and employing Bekenstein's general expression for the variation of the black hole area, we determine the area quantum up to a constant. Depending on the value of this constant one can get either Bekenstein's lower bound or Hod's one for the change in the black hole area.
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How the literature uses it
6 arXiv papers cite this in 10 sentences
Papers citing it · 4 sentences without a confident label
Contests it 1 paper
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When $d≥151$, the low bound of the spacing $ΔS$ as suggested in [ref] will be violated, and when $d→∞$, the spacing will vanish.
Black hole spectroscopy from null geodesics · Summary · contest 0.78
Compares with it 1 paper
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Moreover, the spacing $ΔS$ will be below the low bound obtained from the tunneling method as suggested in [ref] when $d$ is larger than 151.
Black hole spectroscopy from null geodesics · Introduction · 0.86
Cites it as background 4 papers
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This interpretation has been extensively studied [ref] , and applied on various models of black holes [ref] .
Invariance of the Hamilton-Jacobi tunneling method for black holes and FRW model · Introduction · 0.93
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The tunneling phenomenon has been extensively studied [ref] and a lot of work has already been successfully applied on various black hole spacetimes [ref] where a particle moves in dynamical geometry and all of these works are limited to massless particle and gives a correction to the emission rate arising from loss of mass of the black hole crresponding to the energy carried by radiated quantum.
Hawking radiation of Reissner-Nordstrom-de Sitter black hole by Hamilton-Jacobi method · Introduction · 0.89
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The derivation of Hawking radiation on the basis of the tunneling effect has been discussed in the literature [ref] .
Hawking radiation as tunneling from squashed Kaluza-Klein black hole · Introduction · 0.96
What it cites · 17 sentences without a confident label
Uses the method or tool of 2 papers
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Now consider the massless Klein-Gordon equation $g^μν∇_μ∇_νϕ=0$ under the metric given in equation ([ref]) [equation] Taking the standard WKB ansatz $ϕ(r,t)=e^-i/ħS(r,t)$ and substituting the expansion for $S(r,t)$ [equation] in equation ([ref]) we obtain the solutions for $ϕ$ in the semiclassical limit, i.e. $ħ→0$, [ref] ϕ^(R)_in=e^-i/ħωu_in ; ϕ^(L)_in=e^-i/ħωv_in
Connecting anomaly and tunneling methods for Hawking effect through chirality · Introduction · 0.93
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Now consider the massless Klein-Gordon equation $g^μν∇_μ∇_νϕ=0$ under the metric given in equation ([ref]) [equation] Taking the standard WKB ansatz $ϕ(r,t)=e^-i/ħS(r,t)$ and substituting the expansion for $S(r,t)$ [equation] in equation ([ref]) we obtain the solutions for $ϕ$ in the semiclassical limit, i.e. $ħ→0$, [ref] ϕ^(R)_in=e^-i/ħωu_in ; ϕ^(L)_in=e^-i/ħωv_in
Hawking black body spectrum from tunneling mechanism · Introduction · 0.93
Compares with 1 paper
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This agrees with Hod's result [ref] for the minimum change in black hole area.
Best Approximation to a Reversible Process in Black-Hole Physics and the Area Spectrum of Spherical Black Holes · Introduction · 0.97
Cites as background 7 papers
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Almost ten years after Hod's proposal and immediately following [ref] , Maggiore gave a new interpretation for the black hole quasinormal modes which rejuvenated the interest in this direction [ref] .
Analytic Study of Rotating Black-Hole Quasinormal Modes · Introduction · 0.82
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Almost ten years after Hod's proposal and immediately following [ref] , Maggiore gave a new interpretation for the black hole quasinormal modes which rejuvenated the interest in this direction [ref] .
Asymptotic Spectroscopy of Rotating Black Holes · Introduction · 0.82
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Almost ten years after Hod's proposal and immediately following [ref] , Maggiore gave a new interpretation for the black hole quasinormal modes which rejuvenated the interest in this direction [ref] .
The physical interpretation of the spectrum of black hole quasinormal modes · Introduction · 0.82
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