Quantum black hole wave packet: Average area entropy and temperature dependent width
A quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum acquires then independent contributions from the average mass an...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014-09-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269314005346 |
| _version_ | 1818272182483025920 |
|---|---|
| author | Aharon Davidson Ben Yellin |
| author_facet | Aharon Davidson Ben Yellin |
| author_sort | Aharon Davidson |
| collection | DOAJ |
| description | A quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum acquires then independent contributions from the average mass and the width. Hence, Bekenstein's area entropy is formulated using the 〈mass2〉 average, leaving the 〈mass〉 average to set the Hawking temperature. The width function peaks at the Planck scale for an elementary (zero entropy, zero free energy) micro black hole of finite rms size, and decreases Doppler-like towards the classical limit. |
| first_indexed | 2024-12-12T21:38:00Z |
| format | Article |
| id | doaj.art-73454577ee9f4f209bacc49993d379c4 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-12T21:38:00Z |
| publishDate | 2014-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-73454577ee9f4f209bacc49993d379c42022-12-22T00:11:08ZengElsevierPhysics Letters B0370-26931873-24452014-09-01736C26727110.1016/j.physletb.2014.07.032Quantum black hole wave packet: Average area entropy and temperature dependent widthAharon DavidsonBen YellinA quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum acquires then independent contributions from the average mass and the width. Hence, Bekenstein's area entropy is formulated using the 〈mass2〉 average, leaving the 〈mass〉 average to set the Hawking temperature. The width function peaks at the Planck scale for an elementary (zero entropy, zero free energy) micro black hole of finite rms size, and decreases Doppler-like towards the classical limit.http://www.sciencedirect.com/science/article/pii/S0370269314005346 |
| spellingShingle | Aharon Davidson Ben Yellin Quantum black hole wave packet: Average area entropy and temperature dependent width Physics Letters B |
| title | Quantum black hole wave packet: Average area entropy and temperature dependent width |
| title_full | Quantum black hole wave packet: Average area entropy and temperature dependent width |
| title_fullStr | Quantum black hole wave packet: Average area entropy and temperature dependent width |
| title_full_unstemmed | Quantum black hole wave packet: Average area entropy and temperature dependent width |
| title_short | Quantum black hole wave packet: Average area entropy and temperature dependent width |
| title_sort | quantum black hole wave packet average area entropy and temperature dependent width |
| url | http://www.sciencedirect.com/science/article/pii/S0370269314005346 |
| work_keys_str_mv | AT aharondavidson quantumblackholewavepacketaverageareaentropyandtemperaturedependentwidth AT benyellin quantumblackholewavepacketaverageareaentropyandtemperaturedependentwidth |