Black holes and unpredictability

Details Black holes and unpredictability Black holes and unpredictability

Jan 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phb....29...23h&link_type=abstract

Physics Bulletin, vol. 29, Jan. 1978, p. 23, 24.

Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Relativity, Entropy, Gravitation Theory, Perturbation Theory, Quantum Theory

Scientific paper

The unpredictability associated with a spacetime singularity and with the completely random thermal radiation from a black hole is discussed. The unpredictability of the radiation is taken to imply that a black hole has an intrinsic entropy, which is identified with the amount of information that is irretrievably lost in black hole formation. A precise mathematical statement of the unpredictability associated with black holes is given according to which the final state after a black hole has radiated is described by a density matrix rather than a pure quantum state. It is shown that all the information that was lost through the event horizon in earlier stages cannot reappear in the final moments of a radiating black hole's lifetime because there simply is not enough energy available to cancel out all the entropy.

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