scholarly journals Confluent Heun functions and the physics of black holes: Resonant frequencies, Hawking radiation and scattering of scalar waves

2016 ◽  
Vol 373 ◽  
pp. 28-42 ◽  
Author(s):  
H.S. Vieira ◽  
V.B. Bezerra
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Resonant Frequencies ◽  
Heun Functions ◽  
Physics Of Black Holes ◽  
Scalar Waves

scholarly journals On the Loss of Learning Capability Inside an Arrangement of Neural Networks: The Bottleneck Effect in Black-Holes

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1484
Author(s):  
Ivan Arraut ◽  
Diana Diaz
Keyword(s):  
Neural Networks ◽  
Black Holes ◽  
Hawking Radiation ◽  
Radiation Effect ◽  
Learning Capability ◽  
Bottleneck Effect ◽  
Loss Of Information ◽  
Physics Of Black Holes ◽  
Bogoliubov Transformations

We analyze the loss of information and the loss of learning capability inside an arrangement of neural networks. Our method is based on the formulation of the Bogoliubov transformations in order to connect the information between different points of the arrangement. Similar methods translated to the physics of black-holes, reproduce the Hawking radiation effect. From this perspective we can conclude that the black-holes are objects reproducing naturally the bottleneck effect, which is fundamental in neural networks in order to perceive the useful information, eliminating in this way the noise.

scholarly journals EFFECTIVE TEMPERATURE, HAWKING RADIATION AND QUASINORMAL MODES

2012 ◽  
Vol 21 (11) ◽  
pp. 1242023 ◽  
Author(s):  
CHRISTIAN CORDA
Keyword(s):  
Black Holes ◽  
Quantum Gravity ◽  
Excited States ◽  
Effective Temperature ◽  
Hawking Radiation ◽  
Quantum Physics ◽  
Quasinormal Modes ◽  
Gravity Theory ◽  
Large N ◽  
Physics Of Black Holes

Parikh and Wilczek have shown that Hawking radiation's spectrum cannot be strictly thermal. Such a nonstrictly thermal character implies that the spectrum is also not strictly continuous and thus generates a natural correspondence between Hawking radiation and black hole's quasinormal modes. This issue endorses the idea that, in an underlying unitary quantum gravity theory, black holes result in highly excited states. We use this key point to re-analyze the spectrum of black hole's quasinormal modes by introducing a black hole's effective temperature. Our analysis changes the physical understanding of such a spectrum and enables a re-examination of various results in the literature which realizes important modifications on quantum physics of black holes. In particular, the formula of the horizon's area quantization and the number of quanta of area are modified into functions of the quantum "overtone" number n. Consequently, Bekenstein–Hawking entropy, its sub-leading corrections and the number of microstates, i.e. quantities which are fundamental to realize unitary quantum gravity theory, are also modified. They become functions of the quantum overtone number too. Previous results in the literature are re-obtained in the very large n limit.

scholarly journals The Quantum Physics of Black Holes: Results from String Theory

2000 ◽  
Vol 50 (1) ◽  
pp. 153-206 ◽  
Author(s):  
Sumit R. Das ◽  
Samir D. Mathur
Keyword(s):  
Black Holes ◽  
String Theory ◽  
Hawking Radiation ◽  
Quantum Physics ◽  
Recent Progress ◽  
Physics Of Black Holes

▪ Abstract  We review recent progress in our understanding of the physics of black holes. In particular, we discuss the ideas from string theory that explain the entropy of black holes from a counting of microstates of the hole, and the related derivation of unitary Hawking radiation from such holes.

scholarly journals Islands and stretched horizon

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Yoshinori Matsuo
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Total System ◽  
Island Rule ◽  
Asymptotically Flat ◽  
Flat Spacetime ◽  
Ads Spacetime ◽  
Hole Geometry

Abstract Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called “island.” In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all the information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime.

HAWKING RADIATION VIA TUNNELING OF MASSIVE PARTICLES FROM A GRAVITY'S RAINBOW

2010 ◽  
Vol 25 (38) ◽  
pp. 3229-3240 ◽  
Author(s):  
CHENG-ZHOU LIU
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Quantum Effect ◽  
Massive Particle ◽  
Planck Scale ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Corrected Entropy ◽  
Massive Particles ◽  
Massive Particle Tunneling

In the tunneling framework of Hawking radiation, the quantum tunneling of massive particles in the modified Schwarzschild black holes from gravity's rainbow is investigated. While the massive particle tunneling from the event horizon, the metric fluctuation is taken into account, not only due to energy conservation but also to the Planck scale effect of spacetime. The obtained results show that, the emission rate is related to changes of the black hole's quantum corrected entropies before and after the emission. This implies that, considering the quantum effect of spacetime, information conservation of black holes is probable. Meanwhile, the quantum corrected entropy of the modified black hole is obtained and the leading correction behave as log-area type. And that, the emission spectrum with Planck scale correction is obtained and it deviates from the thermal spectrum.

scholarly journals Islands and Page curves of Reissner-Nordström black holes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Xuanhua Wang ◽  
Ran Li ◽  
Jin Wang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Additional Term ◽  
Current Case ◽  
Information Paradox ◽  
Extremal Surface ◽  
Four Dimensions ◽  
Black Hole Information

Abstract We apply the recently proposed quantum extremal surface construction to calculate the Page curve of the eternal Reissner-Nordström black holes in four dimensions ignoring the backreaction and the greybody factor. Without the island, the entropy of Hawking radiation grows linearly with time, which results in the information paradox for the eternal black holes. By extremizing the generalized entropy that allows the contributions from the island, we find that the island extends to the outside the horizon of the Reissner-Nordström black hole. When taking the effect of the islands into account, it is shown that the entanglement entropy of Hawking radiation at late times for a given region far from the black hole horizon reproduces the Bekenstein-Hawking entropy of the Reissner-Nordström black hole with an additional term representing the effect of the matter fields. The result is consistent with the finiteness of the entanglement entropy for the radiation from an eternal black hole. This facilitates to address the black hole information paradox issue in the current case under the above-mentioned approximations.

scholarly journals On the Hawking radiation as tunneling for a class of dynamical black holes

2007 ◽  
Vol 657 (1-3) ◽  
pp. 107-111 ◽  
Author(s):  
R. Di Criscienzo ◽  
M. Nadalini ◽  
L. Vanzo ◽  
S. Zerbini ◽  
G. Zoccatelli
Keyword(s):  
Black Holes ◽  
Hawking Radiation
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