Dong-il Hwang, Bum-Hoon Lee, Dong-han Yeom
In this paper, we critically discuss black hole complementarity and the firewall proposal. Black hole complementarity is inevitable, if we assume the five contents: unitarity, entropy-area formula, existence of information observer, semi-classical quantum field theory for asymptotic observer, and general relativity for in-falling observer. However, large N rescaling and AMPS argument show that black hole complementarity is inconsistent. To rescue the basic philosophy of black hole complementarity, AMPS introduce a firewall around the horizon. According to large N rescaling, the firewall should be close to the apparent horizon. We investigate the consistency of the firewall regarding two conditions: the firewall should be near the time-like apparent horizon and the firewall should not affect to future infinity. Regarding this, the authors introduce a gravitational collapse with a false vacuum lump. It can generate a spacetime structure with disconnected apparent horizons. This reveals a situation that there is a firewall outside of the event horizon, while the apparent horizon is absent. Therefore, the firewall, if it exists, does not only modify general relativity for an in-falling observer, but also modify semi-classical quantum field theory for an asymptotic observer.
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http://arxiv.org/abs/1210.6733
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