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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
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|    Message 15,948 of 17,516    |
|    Lawrence Crowell to All    |
|    page time and quantum error correction    |
|    05 Jan 18 22:25:31    |
      From: goldenfieldquaternions@gmail.com              I answered an outstanding question on the physics stack exchange on page       time and information scrambling. Below are the first three paragraphs of       the answer.              The Page time comes about because of the nature of entanglement. For a       cavity emitter of black body radiation a photon emitted early on is       entangled with atomic states in the cavity. However, once half the       energy in the cavity is emitted subsequent radiation emitted is       entangled with radiation emitted earlier. As a result the entanglement       entropy increases to some maximum, at about half the energy emitted, and       then declines. The entangled states are towards the end in the form of       emitted radiation.              A black hole is similar in that Hawking radiation is emitted from an       entangled pair of photons or electron positron pairs. One enters the       black hole and the other escapes to infinity. At the half way mark,       where the black hole has emitted half its mass a conundrum becomes       apparent. The black hole continues to build up entanglement entropy by       this process. It will exceed the Bekenstein entropy bound. If this is       prevented by assuming entanglement of later Hawking radiation is       entangled with early Hawking radiation this force bipartite       entanglements to evolve into tripartite states, which is not possible by       unitary evolution. This is said to violate the monogamy rule. This       generally occurs at the so called Page time.              The idea then is that something catastrophic happens where either       unitary evolution or the equivalence principle fails. Preference is       given to unitarity, so the equivalence principle is said to fail at the       so called firewall.              Continued at              https://physics.stackexchange.com/questions/368492/page-time-and       black-hole-scrambling-of-information              LC              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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