black holes;
unitarity;
information;
entropy;
entanglement;
Clausius entropy;
Bekenstein entropy;
coarse-grained entropy;
AVERAGE ENTROPY;
RADIATION;
SUBSYSTEM;
AREA;
D O I:
10.3390/universe3030058
中图分类号:
P1 [天文学];
学科分类号:
0704 ;
摘要:
Blackbody radiation, emitted from a furnace and described by a Planck spectrum, contains (on average) an entropy of 3.9 +/- 2.5 bits per photon. Since normal physical burning is a unitary process, this amount of entropy is compensated by the same amount of hidden information in correlations between the photons. The importance of this result lies in the posterior extension of this argument to the Hawking radiation from black holes, demonstrating that the assumption of unitarity leads to a perfectly reasonable entropy/information budget for the evaporation process. In order to carry out this calculation, we adopt a variant of the average subsystem approach, but consider a tripartite pure system that includes the influence of the rest of the universe, and which allows young black holes to still have a non-zero entropy; which we identify with the standard Bekenstein entropy.
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Almheiri, Ahmed
;
Marolf, Donald
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Marolf, Donald
;
Polchinski, Joseph
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Polchinski, Joseph
;
Sully, James
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
机构:
Victoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New ZealandVictoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Almheiri, Ahmed
;
Marolf, Donald
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Marolf, Donald
;
Polchinski, Joseph
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Polchinski, Joseph
;
Sully, James
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
机构:
Victoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New ZealandVictoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand