Emergent horizon, Hawking radiation and chaos in the collapsed polymer model of a black hole
Creators
- 1. Department of Physics, Ben-Gurion University, Beer-Sheva (Israel)
- 2. National Institute for Theoretical Physics (NITheP), Western Cape (South Africa)
- 3. Department of Physics and Electronics, Rhodes University, Grahamstown (South Africa)
Description
We have proposed that the interior of a macroscopic Schwarzschild black hole (BH) consists of highly excited, long, closed, interacting strings and, as such, can be modeled as a collapsed polymer. It was previously shown that the scaling relations of the collapsed-polymer model agree with those of the BH. The current paper further substantiates this proposal with an investigation into some of its dynamical consequences. In particular, we show that the model predicts, without relying on gravitational effects, an emergent horizon. We further show that the horizon fluctuates quantum mechanically as it should and that the strength of the fluctuations is inversely proportional to the BH entropy. It is then demonstrated that the emission of Hawking radiation is realized microscopically by the quantum-induced escape of small pieces of string, with the rate of escape and the energy per emitted piece both parametrically matching the Hawking temperature. We also show, using standard methods from statistical mechanics and chaos theory, how our model accounts for some other known properties of BHs. These include the accepted results for the scrambling time and the viscosity-to-entropy ratio, which in our model apply not only at the horizon but throughout the BH interior. (copyright 2017 WILEY-VCH Verlag GmbH and Co. KGaA, Weinheim)
Availability note (English)
Available from: http://dx.doi.org/10.1002/prop.201600116Additional details
Identifiers
- DOI
- 10.1002/prop.201600116;
- arXiv
- arXiv:1607.03721v1;
Publishing Information
- Journal Title
- Fortschritte der Physik (online)
- Journal Volume
- 65
- Journal Issue
- 2
- Journal Page Range
- p. 1-14
- ISSN
- 1521-3978
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 48038076
- Subject category
- S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
- Descriptors DEI
- BLACK HOLES; BOLTZMANN EQUATION; CHAOS THEORY; EMISSION; ENTROPY; FLUCTUATIONS; QUANTUM MECHANICS; SCALING LAWS; SCHWARZSCHILD METRIC; SPACE-TIME; STAR MODELS; STATISTICAL MECHANICS; STRING MODELS; THERMAL RADIATION; VISCOSITY
- Descriptors DEC
- COMPOSITE MODELS; DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC RADIATION; EQUATIONS; EXTENDED PARTICLE MODEL; INTEGRO-DIFFERENTIAL EQUATIONS; KINETIC EQUATIONS; MATHEMATICAL MODELS; MATHEMATICS; MECHANICS; METRICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; PHYSICAL PROPERTIES; QUARK MODEL; RADIATIONS; THERMODYNAMIC PROPERTIES; VARIATIONS
Optional Information
- Notes
- With 4 figs.