Black Hole Entropy from Indistinguishable Quantum Geometric Excitations
In loop quantum gravity the quantum geometry of a black hole horizon consists of discrete nonperturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these punctures are compared to a gas of particles, then the spins as...
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/2903867 |
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| author | Abhishek Majhi |
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| collection | DOAJ |
| description | In loop quantum gravity the quantum geometry of a black hole horizon consists of discrete nonperturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these punctures are compared to a gas of particles, then the spins associated with the punctures can be viewed as single puncture area levels analogous to single particle energy levels. Consequently, if we assume these punctures to be indistinguishable, the microstate count for the horizon resembles that of Bose-Einstein counting formula for gas of particles. For the Bekenstein-Hawking area law to follow from the entropy calculation in the large area limit, the Barbero-Immirzi parameter (γ) approximately takes a constant value. As a by-product, we are able to speculate the state counting formula for the SU(2) quantum Chern-Simons theory coupled to indistinguishable sources in the weak coupling limit. |
| format | Article |
| id | doaj-art-5173d69c928f4c25bdfc499391dfe3b5 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
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| series | Advances in High Energy Physics |
| spelling | doaj-art-5173d69c928f4c25bdfc499391dfe3b52025-02-03T07:25:39ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/29038672903867Black Hole Entropy from Indistinguishable Quantum Geometric ExcitationsAbhishek Majhi0The Institute of Mathematical Sciences, CIT Campus, 4th Cross St., Taramani, Chennai, Tamil Nadu, IndiaIn loop quantum gravity the quantum geometry of a black hole horizon consists of discrete nonperturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these punctures are compared to a gas of particles, then the spins associated with the punctures can be viewed as single puncture area levels analogous to single particle energy levels. Consequently, if we assume these punctures to be indistinguishable, the microstate count for the horizon resembles that of Bose-Einstein counting formula for gas of particles. For the Bekenstein-Hawking area law to follow from the entropy calculation in the large area limit, the Barbero-Immirzi parameter (γ) approximately takes a constant value. As a by-product, we are able to speculate the state counting formula for the SU(2) quantum Chern-Simons theory coupled to indistinguishable sources in the weak coupling limit.http://dx.doi.org/10.1155/2016/2903867 |
| spellingShingle | Abhishek Majhi Black Hole Entropy from Indistinguishable Quantum Geometric Excitations Advances in High Energy Physics |
| title | Black Hole Entropy from Indistinguishable Quantum Geometric Excitations |
| title_full | Black Hole Entropy from Indistinguishable Quantum Geometric Excitations |
| title_fullStr | Black Hole Entropy from Indistinguishable Quantum Geometric Excitations |
| title_full_unstemmed | Black Hole Entropy from Indistinguishable Quantum Geometric Excitations |
| title_short | Black Hole Entropy from Indistinguishable Quantum Geometric Excitations |
| title_sort | black hole entropy from indistinguishable quantum geometric excitations |
| url | http://dx.doi.org/10.1155/2016/2903867 |
| work_keys_str_mv | AT abhishekmajhi blackholeentropyfromindistinguishablequantumgeometricexcitations |