Entropy/information flux in Hawking radiation

Abstract

Blackbody radiation contains (on average) an entropy of 3.9\pm2.5 bits per photon. If the emission process is unitary, then this entropy is exactly compensated by "hidden information" in the correlations. We extend this argument to the Hawking radiation from GR black holes, demonstrating that the assumption of unitarity leads to a perfectly reasonable entropy/information budget. The key technical aspect of our calculation is a variant of the "average subsystem" approach developed by Page, which we extend beyond bipartite pure systems, to a tripartite pure system that considers the influence of the environment.

V1: 32 pages, 6 figures; V2: considerable additional discussion added; 8 additional references; no change in physics conclusions; V3: reformatted, argument streamlined, now just over 8 pages. This version closely matches the published version. Some technical discussion spun-off into 1707.09755 [quant-ph]; PRA96 (2017) 052302

References in corpus (26)

• Observation of quantum Hawking radiation and its entanglement in an analogue black hole
• Measurement of stimulated Hawking emission in an analogue system
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Hawking radiation from ultrashort laser pulse filaments
• Black hole evaporation: A paradigm
• Minimal conditions for the existence of a Hawking-like flux
• Hawking-like radiation from evolving black holes and compact horizonless objects
• Physical observability of horizons
• The Hawking cascade from a black hole is extremely sparse
• Hawking-like radiation does not require a trapped region
• The Information Paradox for Black Holes
• Measuring the entanglement of analogue Hawking radiation by the density-density correlation function
• Black Holes, Information, and Hilbert Space for Quantum Gravity
• Quasi-particle creation by analogue black holes
• Naked Black Hole Firewalls
• Black hole evaporation without an event horizon
• Entropy/information flux in Hawking radiation
• Entropy budget for Hawking evaporation
• Coarse graining Shannon and von Neumann entropies
• On burning a lump of coal
• The disinformation problem for black holes (conference version)
• Multi-partite analysis of average-subsystem entropies
• No Firewalls or Information Problem for Black Holes Entangled with Large Systems
• Response to version 2 of the note concerning the observation of quantum Hawking radiation and its entanglement in an analogue black hole
• Correlations across horizons in quantum cosmology
• The disinformation problem for black holes (pop version)

Cited by in corpus (19)

• Matter and gravitons in the gravitational collapse
• Generalized uncertainty principle impact onto the black holes information flux and the sparsity of Hawking radiation
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• Entropy budget for Hawking evaporation
• Entropy/information flux in Hawking radiation
• Coarse graining Shannon and von Neumann entropies
• Hawking radiation is corpuscular
• How can we erase states inside a black hole?
• Unitarity and Page curve for evaporation of 2D AdS black holes
• Multi-partite analysis of average-subsystem entropies
• Minimal length and the flow of entropy from black holes
• Before the Page time: maximum entanglements or the return of the monster?
• Hawking radiation and black hole gravitational back reaction - A quantum geometrodynamical simplified model
• Evading the Trans-Planckian problem with Vaidya spacetimes
• Demonstration of the Hayden-Preskill protocol via mutual information
• From mindless mathematics to thinking meat?
• Thermodynamics of spacetime from minimal area
• Thermomagnetic Ettingshausen-Nernst effect in tachocline, magnetic reconnection phenomenon in lower layers, axion mechanism of solar luminosity variations, coronal heating problem solution and mechanism of ADM variations around BH