Final state boundary condition of the Schwarzschild black hole

Abstract

It is shown that the internal stationary state of the Schwarzschild black hole can be represented by a maximally entangled two-mode squeezed state of collapsing matter and infalling Hawking radiation. The final boundary condition at the singularity is then described by the random unitary transformation acting on the collapsing matter field. The outgoing Hawking radiation is obtained by the final state projection on the total wave function, which looks like a quantum teleportation process without the classical information transmitted. The black hole evaporation process as seen by the observer outside the black hole is now a unitary process but non-local physics is required to transmit the information outside the black hole. It is also shown that the final state projection by the evaporation process is strongly affected by the quantum state outside the event horizon, which clearly violates the locality principle.

arXiv commentVersion_2

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