TY - JOUR
T1 - Quantum black hole wave packet
T2 - Average area entropy and temperature dependent width
AU - Davidson, Aharon
AU - Yellin, Ben
PY - 2014/9/7
Y1 - 2014/9/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84907416102&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2014.07.032
DO - 10.1016/j.physletb.2014.07.032
M3 - Article
AN - SCOPUS:84907416102
SN - 0370-2693
VL - 736
SP - 267
EP - 271
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
ER -