Second law of black hole thermodynamics. (arXiv:2001.02897v3 [hep-th] UPDATED)
<a href="http://arxiv.org/find/hep-th/1/au:+Azuma_K/0/1/0/all/0/1">Koji Azuma</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Kato_G/0/1/0/all/0/1">Go Kato</a>
If simple entropy in the Bekenstein-Hawking area law for a black hole is
replaced with ‘negative’ quantum conditional entropy, which quantifies quantum
entanglement, of positive-heat particles of the black hole relative to its
outside, a paradox with the original pair-creation picture of Hawking
radiation, the first law for black hole mechanics and quantum mechanics is
resolved. However, there was no way to judge experimentally which area law is
indeed adopted by black holes. Here, with the no-hair conjecture, we derive the
perfect picture of a second law of black hole thermodynamics from the modified
area law, rather than Bekenstein’s generalized one from the original area law.
The second law is testable with an event horizon telescope, in contrast to
Bekenstein’s. If this is confirmed, the modified area law could be exalted to
the first example of fundamental equations in physics which cannot be described
without the concept of quantum information.
If simple entropy in the Bekenstein-Hawking area law for a black hole is
replaced with ‘negative’ quantum conditional entropy, which quantifies quantum
entanglement, of positive-heat particles of the black hole relative to its
outside, a paradox with the original pair-creation picture of Hawking
radiation, the first law for black hole mechanics and quantum mechanics is
resolved. However, there was no way to judge experimentally which area law is
indeed adopted by black holes. Here, with the no-hair conjecture, we derive the
perfect picture of a second law of black hole thermodynamics from the modified
area law, rather than Bekenstein’s generalized one from the original area law.
The second law is testable with an event horizon telescope, in contrast to
Bekenstein’s. If this is confirmed, the modified area law could be exalted to
the first example of fundamental equations in physics which cannot be described
without the concept of quantum information.
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