# Testing quantum gravity through dumb holes

## Abstract

We propose a method to test the effects of quantum fluctuations on black holes by analyzing the effects of thermal fluctuations on dumb holes, the analogs for black holes. The proposal is based on the Jacobson formalism, where the Einstein field equations are viewed as thermodynamical relations, and so the quantum fluctuations are generated from the thermal fluctuations. It is well known that all approaches to quantum gravity generate logarithmic corrections to the entropy of a black hole and the coefficient of this term varies according to the different approaches to the quantum gravity. It is possible to demonstrate that such logarithmic terms are also generated from thermal fluctuations in dumb holes. In this paper, we claim that it is possible to experimentally test such corrections for dumb holes, and also obtain the correct coefficient for them. This fact can then be used to predict the effects of quantum fluctuations on realistic black holes, and so it can also be used, in principle, to experimentally test the different approaches to quantum gravity.

- Authors:

- School of Physics, Damghan University, Damghan (Iran, Islamic Republic of)
- Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB T1K 3M4 (Canada)
- (Canada)
- Dipartimento di Fisica, Università di Napoli ”Frederico II” Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli (Italy)
- (INFN), Via F. Crispi 7, I-67100 L’ Aquila (Italy)

- Publication Date:

- OSTI Identifier:
- 22617466

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 377; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; EINSTEIN FIELD EQUATIONS; ENTROPY; FLUCTUATIONS; QUANTUM GRAVITY

### Citation Formats

```
Pourhassan, Behnam, E-mail: b.pourhassan@du.ac.ir, Faizal, Mir, E-mail: f2mir@uwaterloo.ca, Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, Kelowna, BC V1V 1V7, Capozziello, Salvatore, E-mail: capozzie@na.infn.it, and Gran Sasso Science Institute.
```*Testing quantum gravity through dumb holes*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2016.11.014.

```
Pourhassan, Behnam, E-mail: b.pourhassan@du.ac.ir, Faizal, Mir, E-mail: f2mir@uwaterloo.ca, Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, Kelowna, BC V1V 1V7, Capozziello, Salvatore, E-mail: capozzie@na.infn.it, & Gran Sasso Science Institute.
```*Testing quantum gravity through dumb holes*. United States. doi:10.1016/J.AOP.2016.11.014.

```
Pourhassan, Behnam, E-mail: b.pourhassan@du.ac.ir, Faizal, Mir, E-mail: f2mir@uwaterloo.ca, Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, Kelowna, BC V1V 1V7, Capozziello, Salvatore, E-mail: capozzie@na.infn.it, and Gran Sasso Science Institute. Wed .
"Testing quantum gravity through dumb holes". United States.
doi:10.1016/J.AOP.2016.11.014.
```

```
@article{osti_22617466,
```

title = {Testing quantum gravity through dumb holes},

author = {Pourhassan, Behnam, E-mail: b.pourhassan@du.ac.ir and Faizal, Mir, E-mail: f2mir@uwaterloo.ca and Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, Kelowna, BC V1V 1V7 and Capozziello, Salvatore, E-mail: capozzie@na.infn.it and Gran Sasso Science Institute},

abstractNote = {We propose a method to test the effects of quantum fluctuations on black holes by analyzing the effects of thermal fluctuations on dumb holes, the analogs for black holes. The proposal is based on the Jacobson formalism, where the Einstein field equations are viewed as thermodynamical relations, and so the quantum fluctuations are generated from the thermal fluctuations. It is well known that all approaches to quantum gravity generate logarithmic corrections to the entropy of a black hole and the coefficient of this term varies according to the different approaches to the quantum gravity. It is possible to demonstrate that such logarithmic terms are also generated from thermal fluctuations in dumb holes. In this paper, we claim that it is possible to experimentally test such corrections for dumb holes, and also obtain the correct coefficient for them. This fact can then be used to predict the effects of quantum fluctuations on realistic black holes, and so it can also be used, in principle, to experimentally test the different approaches to quantum gravity.},

doi = {10.1016/J.AOP.2016.11.014},

journal = {Annals of Physics},

number = ,

volume = 377,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2017},

month = {Wed Feb 15 00:00:00 EST 2017}

}