Black hole entropy, log corrections and quantum ergosphere
Michele Arzano
TL;DR
This paper investigates how quantum fluctuations of spacetime influence black hole emission probabilities, leading to a quantum ergosphere concept and logarithmic entropy corrections in quantum gravity frameworks.
Contribution
It introduces the notion of a quantum ergosphere caused by metric fluctuations and links it to logarithmic corrections to black hole entropy.
Findings
Quantum fluctuations modify emission probabilities.
A quantum ergosphere affects black hole radiation.
Logarithmic entropy corrections are derived from quantum effects.
Abstract
Quantum-gravity corrections to the probability of emission of a particle from a black hole in the Parikh-Wilczek tunneling framework are studied. We consider the effects of zero-point quantum fluctuations of the metric on the emission probability for a tunneling shell. Quantum properties of the geometry are responsible for the formation of a "quantum egosphere" whose effects on the emission probability can be related to the emergence of a logarithmic correction to the Bekenstein-Hawking entropy-area formula.
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