Black hole entropy quantization

Abstract

Ever since the pioneer works of Bekenstein and Hawking, black hole entropy has been known to have a quantum origin. Furthermore, it has long been argued by Bekenstein that entropy should be quantized in discrete (equidistant) steps given its identification with horizon area in (semi-)classical general relativity and the properties of area as an adiabatic invariant. This lead to the suggestion that black hole area should also be quantized in equidistant steps to account for the discrete black hole entropy. Here we shall show that loop quantum gravity, in which area is {\it not} quantized in equidistant steps can nevertheless be consistent with Bekenstein's equidistant entropy proposal in a subtle way. For that we perform a detailed analysis of the number of microstates compatible with a given area and show consistency with the Bekenstein framework when an oscillatory behavior in the entropy-area relation is properly interpreted.

4 pages, 4 figures. Version to be published in PRL

Cited by in corpus (14)

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• Generating functions for black hole entropy in Loop Quantum Gravity
• Fine-grained state counting for black holes in loop quantum gravity
• Black hole state degeneracy in Loop Quantum Gravity
• Entropy calculation for a toy black hole
• Toward explaining black hole entropy quantization in loop quantum gravity
• Spectrum and Statistical Entropy of AdS Black Holes
• Black hole radiation spectrum in LQG: Isolated Horizon framework
• Black holes and entropy in loop quantum gravity: An overview
• Signatures of an Emergent Gravity from Black Hole Entropy
• Information-theoretic corrections to black hole area quantisation?