On area and entropy of a black hole

Alekseev, Anton; Polychronakos, Alexios P.; Smedbäck, Mikael

doi:10.1016/j.physletb.2003.08.062

Cited by 76 publications

(144 citation statements)

References 29 publications

Supporting

Mentioning

131

Contrasting

Order By: Relevance

“…[5] and our analysis for a two dimensional non-commutative space agrees with this spectra. On the other hand, the horizon area of black holes has been a relevant geometrical object.…”

supporting

confidence: 84%

“…It is remarkable that using the simple hypothesis of no commutativity in two spatial dimension we can get a spectrum very similar to the obtained by the proposal of loop quantum gravity given in [5] and also that this spectrum is similar to the obtained for a black hole. This could be suggest that the proposal given in [5] is the correct and that exist a very profound relationship between quantum gravity and non-commutative geometry.…”

supporting

confidence: 83%

“…It is interesting to observe that the hypothesis of non commutativity of the space implies directly a discrete spectrum for the area operator, something similar occurs in the case of the distance where using the approach of Connes of noncommutative geometry was obtained a discrete spectrum for the distance operator [19]. It is remarkable that using the simple hypothesis of no commutativity in two spatial dimension we can get a spectrum very similar to the obtained by the proposal of loop quantum gravity given in [5] and also that this spectrum is similar to the obtained for a black hole. This could be suggest that the proposal given in [5] is the correct and that exist a very profound relationship between quantum gravity and non-commutative geometry.…”

supporting

confidence: 53%

See 2 more Smart Citations

Note about the quantum of area in a noncommutative space

2003

View full text Add to dashboard Cite

In this note we show that in a two-dimensional non-commutative space the area operator is quantized, this outcome is compared with the result obtained by Loop Quantum Gravity methods.PACS numbers: 02.40. Gh, 03.65.Bz One of the most relevant results of quantum mechanics is that physical quantities as the energy and the angular momenta, can have a discrete spectra. In fact, this theory begins with the Planck idea about the quantum nature of light. In contrast, general relativity modifies our understanding of gravity not as a force but as geometry. In recent years, there are several attempts to reconcile the ideas of quantum mechanics and general relativity. This implies in principle to change the geometrical properties of the space-time at the Planck length scales [1]. One of this attempt is the loop quantum gravity [2]. A remarkable result of this theory, is that geometrical operators as area or volume have discrete spectra at the Planck length order. For instance, one can define an operator for the area which has the spectrumwhere the {j i } have integers and half-integers values, l p = (hG/c) 1/2 = 10 −33 cm is the Planck length and γ is a constant analogous to the Immirzi 1

show abstract

“…[5] and our analysis for a two dimensional non-commutative space agrees with this spectra. On the other hand, the horizon area of black holes has been a relevant geometrical object.…”

supporting

confidence: 84%

supporting

confidence: 83%

supporting

confidence: 53%

See 1 more Smart Citation

Note about the quantum of area in a noncommutative space

2003

View full text Add to dashboard Cite

show abstract

“…[13] is not correct. Notice that the physical state does not change by adding or removing closed loops with j = 0.…”

Section: Conclusion and Discussionmentioning

confidence: 97%

“…In this case, the Immirzi parameter is modified as γ = ln 3/(2π √ 2). This consideration calls various arguments such as modification of the gauge group SU(2) to SO(3) or the modification of the area spectrum in LQG and so on which we will discuss later [13,14,15,16,17].…”

mentioning

confidence: 99%

Universal area spectrum in single-horizon black holes

Tamaki

Nomura

2006

AIP Conference Proceedings

View full text Add to dashboard Cite

We investigate highly damped quasinormal mode of single-horizon black holes motivated by its relation to the loop quantum gravity. Using the WKB approximation, we show that the real part of the frequency approaches the value TH ln 3 for dilatonic black hole as conjectured by Medved et al. and Padmanabhan. It is surprising since the area specrtum of the black hole determined by the Bohr's correspondence principle completely agrees with that of Schwarzschild black hole for any values of the electromagnetic charge or the dilaton coupling. We discuss its generality for single-horizon black holes and the meaning in the loop quantum gravity.

show abstract

Black-hole thermodynamics: Entropy, information and beyond

Das

2004

Pramana - J Phys

View full text Add to dashboard Cite

We review some recent advances in black hole thermodynamics, including statistical mechanical origins of black hole entropy and its leading order corrections, from the viewpoints of various quantum gravity theories. We then examine the information loss problem and some possible approaches to its resolution. Finally, we study some proposed experiments which may be able to provide experimental signatures of black holes.

show abstract

On area and entropy of a black hole

Cited by 76 publications

References 29 publications

Note about the quantum of area in a noncommutative space

Note about the quantum of area in a noncommutative space

Universal area spectrum in single-horizon black holes

Black-hole thermodynamics: Entropy, information and beyond

Contact Info

Product

Resources

About