# Bohr-like black holes

## Abstract

The idea that black holes (BHs) result in highly excited states representing both the “hydrogen atom” and the “quasi-thermal emission” in quantum gravity is today an intuitive but general conviction. In this paper it will be shown that such an intuitive picture is more than a picture. In fact, we will discuss a model of quantum BH somewhat similar to the historical semi-classical model of the structure of a hydrogen atom introduced by Bohr in 1913. The model is completely consistent with existing results in the literature, starting from the celebrated result of Bekenstein on the area quantization.

- Authors:

- Dipartimento di Fisica e Chimica, Istituto Universitario di Ricerca Scientifica 'Santa Rita', Centro di Scienze Naturali, Via di Galceti, 74, 59100 Prato (Italy)
- (IFM) Einstein-Galilei, Via Santa Gonda 14, 59100 Prato (Italy)
- (IIAMIS), B.M. Birla Science Centre, Adarsh Nagar, Hyderabad - 500 463 (India)

- Publication Date:

- OSTI Identifier:
- 22391035

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMIC MODELS; ATOMS; BLACK HOLES; BOHR THEORY; EMISSION; EXCITED STATES; HYDROGEN; QUANTIZATION; QUANTUM GRAVITY; SEMICLASSICAL APPROXIMATION

### Citation Formats

```
Corda, Christian, Institute for Theoretical Physics and Advanced Mathematics, and International Institute for Applicable Mathematics and Information Sciences.
```*Bohr-like black holes*. United States: N. p., 2015.
Web. doi:10.1063/1.4912308.

```
Corda, Christian, Institute for Theoretical Physics and Advanced Mathematics, & International Institute for Applicable Mathematics and Information Sciences.
```*Bohr-like black holes*. United States. doi:10.1063/1.4912308.

```
Corda, Christian, Institute for Theoretical Physics and Advanced Mathematics, and International Institute for Applicable Mathematics and Information Sciences. Tue .
"Bohr-like black holes". United States.
doi:10.1063/1.4912308.
```

```
@article{osti_22391035,
```

title = {Bohr-like black holes},

author = {Corda, Christian and Institute for Theoretical Physics and Advanced Mathematics and International Institute for Applicable Mathematics and Information Sciences},

abstractNote = {The idea that black holes (BHs) result in highly excited states representing both the “hydrogen atom” and the “quasi-thermal emission” in quantum gravity is today an intuitive but general conviction. In this paper it will be shown that such an intuitive picture is more than a picture. In fact, we will discuss a model of quantum BH somewhat similar to the historical semi-classical model of the structure of a hydrogen atom introduced by Bohr in 1913. The model is completely consistent with existing results in the literature, starting from the celebrated result of Bekenstein on the area quantization.},

doi = {10.1063/1.4912308},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1648,

place = {United States},

year = {Tue Mar 10 00:00:00 EDT 2015},

month = {Tue Mar 10 00:00:00 EDT 2015}

}

DOI: 10.1063/1.4912308

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