# Universal bound on dynamical relaxation times and black-hole quasinormal ringing

## Abstract

From information theory and thermodynamic considerations a universal bound on the relaxation time {tau} of a perturbed system is inferred, {tau}{>=}({Dirac_h}/2{pi})/{pi}T, where T is the system's temperature. We show that black holes comply with the bound; in fact they may actually saturate it. Thus, when judged by their relaxation properties, black holes are the most extreme objects in nature, having the maximum relaxation rate which is allowed by quantum theory.

- Authors:

- Ruppin Academic Center, Emeq Hefer 40250 (Israel) and Hadassah Institute, Jerusalem 91010 (Israel)

- Publication Date:

- OSTI Identifier:
- 21020159

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.064013; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; COSMOLOGY; INFORMATION THEORY; QUANTUM FIELD THEORY; RELAXATION; RELAXATION TIME; THERMODYNAMICS

### Citation Formats

```
Hod, Shahar.
```*Universal bound on dynamical relaxation times and black-hole quasinormal ringing*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.064013.

```
Hod, Shahar.
```*Universal bound on dynamical relaxation times and black-hole quasinormal ringing*. United States. doi:10.1103/PHYSREVD.75.064013.

```
Hod, Shahar. Thu .
"Universal bound on dynamical relaxation times and black-hole quasinormal ringing". United States.
doi:10.1103/PHYSREVD.75.064013.
```

```
@article{osti_21020159,
```

title = {Universal bound on dynamical relaxation times and black-hole quasinormal ringing},

author = {Hod, Shahar},

abstractNote = {From information theory and thermodynamic considerations a universal bound on the relaxation time {tau} of a perturbed system is inferred, {tau}{>=}({Dirac_h}/2{pi})/{pi}T, where T is the system's temperature. We show that black holes comply with the bound; in fact they may actually saturate it. Thus, when judged by their relaxation properties, black holes are the most extreme objects in nature, having the maximum relaxation rate which is allowed by quantum theory.},

doi = {10.1103/PHYSREVD.75.064013},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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