The Hawking temperature, the uncertainty principle and quantum black holes

@article{Pinochet2018TheHT,
  title={The Hawking temperature, the uncertainty principle and quantum black holes},
  author={Jorge Pinochet},
  journal={Physics Education},
  year={2018},
  volume={53}
}
  • J. Pinochet
  • Published 14 August 2018
  • Physics, Education
  • Physics Education
In 1974, Stephen Hawking theoretically discovered that black holes emit thermal radiation and have a characteristic temperature, known as the Hawking temperature. The aim of this paper is to present a simple heuristic derivation of the Hawking temperature, based on the Heisenberg uncertainty principle. The result obtained coincides exactly with Hawking’s original finding. In parallel, this work seeks to clarify the physical meaning of Hawking’s discovery. This article may be useful as… 
View on IOP Publishing
arxiv.org
8 Citations
Background Citations
3

8 Citations

‘Black holes ain’t so black’: an introduction to the great discoveries of Stephen Hawking

Between 1974 and 1975, Stephen Hawking revolutionized the world of physics by proposing that black holes have temperature, entropy, and evaporate gradually. The objective of this article is to offer…

The little robot, black holes, and spaghettification

The tidal forces generated by a black hole can be so powerful that they cause unlimited stretching, known as spaghettification. A detailed analysis of this phenomenon requires the use of Einstein’s…

Exploring black holes

The objective of this work is to present a non-technical introduction to black hole physics. The main properties of the four types of black hole allowed by the no-hair theorem are discussed, and some…

Five misconceptions about black holes

Given the great interest that black holes arouse among non-specialists, it is important to analyse misconceptions related to them. According to the author, the most common misconceptions are that:…

Two-component axionic dark matter halos

We consider a two-component dark matter halo (DMH) of a galaxy containing ultra-light axions (ULA) of different mass. The DMH is described as a Bose-Einstein condensate (BEC) in its ground state. In…

Three easy ways to the Hawking temperature

In this work, three heuristic derivations of the Hawking temperature are presented. The main characteristic of these derivations is their extreme simplicity, which makes them easily accessible to a…

Stephen Hawking y los agujeros negros cuánticos

  • J. Pinochet
  • Physics, Mathematics
    Revista Mexicana de Física E
  • 2019
Hasta el año 1974, el estudio de los agujeros negros estuvo bajo la hegemonía de la relatividad general de Einstein. Sin embargo, ese mismo año, Stephen Hawking incorporó la mecánica cuántica y…

Hawking for beginners: a dimensional analysis activity to perform in the classroom

In this paper we present a simple dimensional analysis exercise that allows us to derive the equation for the Hawking temperature of a black hole. The exercise is intended for high school students,…

References

SHOWING 1-10 OF 19 REFERENCES

The Generalized Uncertainty Principle and Black Hole Remnants

In the current standard viewpoint small black holes are believed to emit black body radiation at the Hawking temperature, at least until they approach Planck size, after which their fate is open to…

Hawking radiation, the Stefan–Boltzmann law, and unitarization

Hawking radiation As tunneling

A short and direct derivation of Hawking radiation as a tunneling process, based on particles in a dynamical geometry, respects conservation laws, but the exact spectrum is not precisely thermal.

Quantum Fields in Curved Space

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole…

Introduction to Black Holes

  • J. Kunz
  • Physics
    Journal of Physics: Conference Series
  • 2019
In these lectures an introduction to black holes in general relativity is presented. First the Schwarzschild black hole and its properties are discussed by studying the geodesics of light and matter.…

Six easy roads to the Planck scale

We give six arguments that the Planck scale should be viewed as a fundamental minimum or boundary for the classical concept of spacetime, beyond which quantum effects cannot be neglected and the…

Introduction to Black Hole Physics

1. Black Holes: Big Picture 2. Physics in a Uniformly Accelerated Frame 3. Riemannian Geometry 4. Particles Motion in Curved Spacetime 5. Einstein Equations 6. Spherically Symmetric Black Holes 7.…

Particle creation by black holes

AbstractIn the classical theory black holes can only absorb and not emit particles. However it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were…

Black Hole Physics: Basic Concepts and New Developments, by Valeri P. Frolov and Igor D. Novikov

Preface. I. Basic Concepts. 1. Introduction: Brief History of Black Hole Physics. 2. Spherically Symmetric Black Holes. 3. Rotating Black Holes. 4. Black Hole Perturbations (with N. Andersson). 5.…

Modern Physics, 3rd edn

The number of broadly based physics texts written at a level corresponding to second year and above of UK physics degrees is limited. This is such a book thoroughly updated in a third edition, the…