Quantum black hole wave packet: Average area entropy and temperature dependent width

Aharon Davidson, Ben Yellin

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

A quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum acquires then independent contributions from the average mass and the width. Hence, Bekenstein's area entropy is formulated using the 〈mass2〉 average, leaving the 〈mass〉 average to set the Hawking temperature. The width function peaks at the Planck scale for an elementary (zero entropy, zero free energy) micro black hole of finite rms size, and decreases Doppler-like towards the classical limit.

Original languageEnglish
Pages (from-to)267-271
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume736
DOIs
StatePublished - 7 Sep 2014

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