The retrieval of black hole information was recently presented in two
interesting proposals in the 'Hawking Radiation' conference: a revised version
by G. 't Hooft of a proposal he initially suggested 20 years ago and, a new
proposal by S. Hawking. Both proposals address the problem of black hole
information loss at the classical level and derive an expression for the
scattering matrix. The former uses gravitation back reaction of incoming
particles that imprints its information on the outgoing modes. The latter uses
supertranslation symmetry of horizons to relate a phase delay of the outgoing
wave packet compared to their incoming wave partners. The difficulty in both
proposals is that the entropy obtained from them appears to be infinite.
By including quantum effects into the Hawking and 't Hooft's proposals, I
show that a subtlety arising from the inescapable measurement process, the
Quantum Zeno Effect, not only tames divergences but it actually recovers the
correct 1/4 of the area Bekenstein-Hawking entropy law of black holes.Comment: 9 pgs., 1 figur
