Horizon Wavefunction of Generalized Uncertainty Principle Black Holes
Joint Authors
Manfredi, Luciano
Mureika, Jonas
Source
Advances in High Energy Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the Horizon Wavefunction (HWF) description of a Generalized Uncertainty Principle inspired metric that admits sub-Planckian black holes, where the black hole mass m is replaced by M = m 1 + β / 2 M P l 2 / m 2 .
Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability P B H that the source is a (quantum) black hole, that is, that it lies within its horizon radius.
The case β < 0 is qualitatively similar to the standard Schwarzschild case, and the general shape of P B H is maintained when decreasing the free parameter but shifted to reduce the probability for the particle to be a black hole accordingly.
The probability grows with increasing mass slowly for more negative β and drops to 0 for a minimum mass value.
The scenario differs significantly for increasing β > 0 , where a minimum in P B H is encountered, thus meaning that every particle has some probability of decaying to a black hole.
Furthermore, for sufficiently large β we find that every particle is a quantum black hole, in agreement with the intuitive effect of increasing β , which creates larger M and R H terms.
This is likely due to a “dimensional reduction” feature of the model, where the black hole characteristics for sub-Planckian black holes mimic those in ( 1 + 1 ) dimensions and the horizon size grows as R H ~ M - 1 .
American Psychological Association (APA)
Manfredi, Luciano& Mureika, Jonas. 2016. Horizon Wavefunction of Generalized Uncertainty Principle Black Holes. Advances in High Energy Physics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095137
Modern Language Association (MLA)
Manfredi, Luciano& Mureika, Jonas. Horizon Wavefunction of Generalized Uncertainty Principle Black Holes. Advances in High Energy Physics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095137
American Medical Association (AMA)
Manfredi, Luciano& Mureika, Jonas. Horizon Wavefunction of Generalized Uncertainty Principle Black Holes. Advances in High Energy Physics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095137
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095137