Bekenstein-Spectrum, Temperature and Specific Heat of Black Holes From Chains

Krause, Axel

doi:10.1142/s0217751x05024304

Cited by 5 publications

(7 citation statements)

References 12 publications

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“…In the framework of String-Theory one can identify microscopic BHs with long chains living on the worldvolume of two dual Euclidean brane pairs [35]. This leads to a discrete Bekenstein-like energy spectrum for the Schwarzschild black hole [36]. The Bekenstein-like energy spectrum is present also in canonical quantization [37].…”

Section: Discussion and Conclusion Remarksmentioning

confidence: 99%

The Quantum Black Hole as a Gravitational Hydrogen Atom

Corda¹,

Feleppa²

2019

Preprint

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In this paper only one basic assumption has been made: if we try to describe black holes, their behavior should be understood in the same language as the one we use for particles; black holes should be treated just like atoms. They must be quantum forms of matter, moving in accordance with Schrödinger equations just like everything else. In particular, Rosen's quantization approach to the gravitational collapse is applied in the simple case of a pressureless "star of dust" by finding the gravitational potential, the Schrödinger equation and the solution for the collapse's energy levels. By applying the constraints for a Schwarzschild black hole (BH) and by using the concept of BH effective state, previously introduced by one of the authors (CC), the BH quantum gravitational potential, Schrödinger equation and the BH energy spectrum are found. Remarkably, such an energy spectrum is in agreement (in its absolute value) with the one which was conjectured by Bekenstein in 1974 and consistent with other ones in the literature. This approach also permits to find an interesting quantum representation of the Schwarzschild BH ground state at the Planck scale. Moreover, two fundamental issues about black hole quantum physics are addressed by this model: the area quantization and the singularity resolution. As regards the former, a result similar to the one obtained by Bekenstein, but with a different coefficient, has been found. About the latter, it is shown that the traditional classical singularity in the core of the Schwarzschild BH is replaced, in a full quantum treatment, by

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Section: Discussion and Conclusion Remarksmentioning

confidence: 99%

The Quantum Black Hole as a Gravitational Hydrogen Atom

Corda¹,

Feleppa²

2019

Preprint

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“…One therefore expects that when the branes are separated into three SU(3) branes, two SU(2) branes and one U(1) brane, as in our case, that one should be able to recover the spectrum of a supersymmetric GUT with gauge group SU(6), or a subgroup thereof, broken spontaneously to the SM gauge group. This identification can indeed be carried out for SU (6) but is complicated by the fact that the Higgs and matter content required for a supersymmetric SU(6) GUT is quite involved and includes several SU(3)×SU(2)×U(1) singlets [57]. We will therefore focus on the supersymmetric SU(5) GUT theory which has in its minimal formulation a quite succinct field content.…”

Section: Su(5) Grand Unificationmentioning

confidence: 99%

“…Let us finally point out yet another way to break, with the help of additional D7branes, N = 4 to N = 1 supersymmetry. The generic tangent space group of a 6dimensional compactification manifold is SO (6). The D3-branes were all transverse to the compactification manifold and will therefore not influence its tangent space group.…”

Section: Supersymmetry Breakingmentioning

confidence: 99%

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Critical vacuum energy, warped geometry and grand unification

Krause

2006

Nuclear Physics B

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We explore a mechanism to obtain the observational small value for the 4dimensional vacuum energy through an exponential warp-factor suppression. Intriguingly the required suppression scale relates directly to the GUT scale. We demonstrate the mechanism explicitly in a 5-dimensional brane-world setup with warped geometry. Upon lifting the setup to 10-dimensional IIB string-theory, the relevance of the GUT scale becomes clear as the IIB string-theory description, which is based on D3-brane stacks, gives rise to a spontaneously broken SU(5) supersymmetric GUT theory with low-energy MSSM spectrum and Higgs doublet-triplet splitting.1

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“…This describes a compactification from ten to d dimensions. For the uncharged, non-dilatonic Schwarzschild-Tangherlini black holes one would consider a doublet of Euclidean (D3, D3) + (D3, D3) brane pairs [30], [32], each wrapped around…”

Section: Space-filling Chainsmentioning

confidence: 99%

Black Holes, Space-Filling Chains and Random Walks

Krause

2006

Int. J. Mod. Phys. A

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Many approaches to a semiclassical description of gravity lead to an integer black hole entropy. In four dimensions this implies that the Schwarzschild radius obeys a formula which describes the distance covered by a Brownian random walk. For the higher-dimensional Schwarzschild-Tangherlini black hole, its radius relates similarly to a fractional Brownian walk. We propose a possible microscopic explanation for these random walk structures based on microscopic chains which fill the interior of the black hole.

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Bekenstein-Spectrum, Temperature and Specific Heat of Black Holes From Chains

Cited by 5 publications

References 12 publications

The Quantum Black Hole as a Gravitational Hydrogen Atom

The Quantum Black Hole as a Gravitational Hydrogen Atom

Critical vacuum energy, warped geometry and grand unification

Black Holes, Space-Filling Chains and Random Walks

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