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Delay. J. Galloway, and R. Howard, “The Area Theorem”, gr-qc/0001003. W. Hawking, “Gravitational Radiation from Colliding Black Holes”, Phys. Rev. Lett. 26, 1344-1346 (1971). D. Bekenstein, “Black Holes and Entropy”, Phys. Rev. D7, 2333-2346 (1973). D. Bekenstein, “Generalized Second Law of Thermodynamics in Black-Hole Physics”, Phys. Rev. D9, 3292-3300 (1974). M. Bardeen, B. W. Hawking, “The Four Laws of Black Hole Mechanics” Commun. Math. Phys. 31, 161-170 (1973). [8] M. Heusler, Black Hole Uniqueness Theorems, Cambridge University Press (Cambridge, 1996).

Larsen, and F. Wilzcek, “Geometric and Renormalized Entropy in Conformal Field Theory”, Nucl. Phys. B424, 443-467 (1994). [82] L. Susskind and J. Uglam, “Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory”, Phys. Rev. D50, 2700-2711 (1994). [83] R. ” in Proceedings of the First Australasian Conference on General Relativity and Gravitation, ed. by D. Wiltshire, 163-174, University of Adelaide Press, (Adelaide, 1996); gr-qc/9701056. [84] D. D. thesis (SISSA, Trieste, 1999). [85] G.

For this reason, the issue of whether a pure state can evolve to a mixed state in the process of black hole formation and evaporation is usually referred to as the “black hole information paradox”. There appear to be two logically independent grounds for the claim that the evolution of an initial pure state to a final mixed state is in conflict with quantum mechanics: (1) Such evolution is asserted to be incompatible with the fundamental principles of quantum theory, which postulates a unitary time evolution of a state vector in a Hilbert space.

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