I read it. What I wonder is why failure of the equivalence principle
implies a "fire wall"? Does that mean a high-temperature? I can
imagine lots of ways the equivalence principle could fail.
Brent
On 12/29/2017 1:36 PM, Lawrence Crowell wrote:
I am curious whether anybody looked at this. I got more response from
a post I sent to this list by accident.
LC
On Saturday, December 23, 2017 at 7:17:13 PM UTC-6, Lawrence Crowell
wrote:
I answered an outstanding question on the physics stack exchange
on page time and information scrambling
<https://physics.stackexchange.com/questions/368492/page-time-and-black-hole-scrambling-of-information>.
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
<https://physics.stackexchange.com/questions/368492/page-time-and-black-hole-scrambling-of-information>
LC
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