Entropy/information flux in Hawking radiation

Abstract

Blackbody radiation contains (on average) an entropy of 3.9 ± 2.5 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.Preprinted as: arXiv: 1512.01890 [gr-qc] Published as: Physics Letters B776 (2018) 10-16; doi: https://doi.

Entropy Budget for Hawking Evaporation

“…Therefore, the subsystem entropy is very close to its maximum value, so that each subsystem is very close to being in a maximally mixed state. By combining the exact result derived by Sen [10], and the discussion carried out in reference [5], we can provide a strict limit to this entropy, given bŷ…”

“…We have used this quite standard result as a starting point to understand what happens with the entropy/information budget in general relativistic black hole evaporation. In this context, we have constructed a specific model in which we have seen that there is no paradoxical behaviour [5]. So, we claim that maybe the evaporation process is relatively benign.…”

“…It is possible to calculate the average mutual information, and one finally finds [5] that it is always less than 1/2 nat during the whole evaporation process,…”

The Bekenstein-Hawking Corpuscular Cascading from the Back-Reacted Black Hole

“…The result of the integration of (35) is the Stefan-Boltzmann law which is stated that the power emitted per unit area of the surface of a black hole is directly proportional to the 4th power of its temperature [75,76]. After we take integral of (35), for two space dimensions, the luminosity is found as…”

“…The total number of the outgoing Bekenstein-Hawking particles is obtained by following relation [75,76]:…”