# Black hole entropy divergence and the uncertainty principle

@article{Brustein2010BlackHE, title={Black hole entropy divergence and the uncertainty principle}, author={Ram Brustein and Judy Kupferman}, journal={Physical Review D}, year={2010}, volume={83}, pages={124014} }

Black hole entropy has been shown by 't Hooft to diverge at the horizon. The region near the horizon is in a thermal state, so entropy is linear to energy which consequently also diverges. We find a similar divergence for the energy of the reduced density matrix of relativistic and non-relativistic field theories, extending previous results in quantum mechanics. This divergence is due to an infinitely sharp division between the observable and unobservable regions of space, and it stems from the…

## 29 Citations

### From bricks to quasinormal modes: A new perspective on black hole entropy

- Physics
- 2013

Calculations of black hole entropy based on the counting of modes of a quantum field propagating in a Schwarzschild background need to be regularized in the vicinity of the horizon. To obtain the…

### Lower limit on the entropy of black holes as inferred from gravitational wave observations

- PhysicsPhysical Review D
- 2019

Black hole (BH) thermodynamics was established by Bekenstein and Hawking, who made abstract theoretical arguments about the second law of thermodynamics and quantum theory in curved spacetime…

### Semiclassical black holes expose forbidden charges and censor divergent densities

- PhysicsJournal of High Energy Physics
- 2013

Classically, the horizon of a Schwarzschild black hole (BH) is a rigid surface of infinite redshift; whereas the uncertainty principle dictates that the semiclassical (would-be) horizon cannot be…

### Entanglement Entropy of Black Holes

- PhysicsLiving reviews in relativity
- 2011

The focus in the review is on the systematic use of the conical singularity method and the puzzling behavior of the entanglement entropy due to fields, which non-minimally couple to gravity, which is illustrated on two- and four-dimensional examples.

### Entropy of an acoustic black hole in Bose-Einstein condensates

- Physics
- 2011

We compute the entanglement entropy associated to the Hawking emission of a $(1+1)$-dimensional acoustic black hole in a Bose-Einstein condensate. We use the brick wall model proposed by 't Hooft,…

### Semiclassical black holes expose forbidden charges and censor divergent densities

- Physics
- 2013

A bstractClassically, the horizon of a Schwarzschild black hole (BH) is a rigid surface of infinite redshift; whereas the uncertainty principle dictates that the semiclassical (would-be) horizon…

### The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences

- Physics
- 2013

We consider the entropy associated to the phonons generated via the Hawking mechanism in a sonic hole in a Bose–Einstein condensate (BEC). In a previous paper, we looked at the (1+1)-dimensional case…

### How black holes burn: Entanglement entropy evolution for an evaporating black hole

- Physics
- 2015

We present a calculation of the rate of information release from a Schwarzschild BH. We have recently extended Hawking's theory of black hole (BH) evaporation to account for quantum fluctuations of…

### Horizons of semiclassical black holes are cold

- Physics
- 2013

A bstractWe calculate, using our recently proposed semiclassical framework, the quantum state of the Hawking pairs that are produced during the evaporation of a black hole (BH). Our framework adheres…

### Accelerated horizons and Planck-scale kinematics

- Physics
- 2018

We extend the concept of accelerated horizons to the framework of deformed relativistic kinematics at the Planck scale. We show that the non-trivial effects due to symmetry deformation manifest in a…

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