Black Hole Entropy in Induced Gravity and Information Loss
arXiv:gr-qc/9911065 · doi:10.1016/S0920-5632(00)00784-2
Abstract
The basic assumption of the induced gravity approach is that Einstein theory is an effective, low energy-form of a quantum theory of constituents. In this approach the Bekenstein-Hawking entropy S^{BH} of a black hole can be interpreted as a measure of the loss of information about constituents inside the black hole horizon. To be more exact, S^{BH} is determined by quantum correlations between "observable" and "non-observable" states with positive and negative energy , respectively. It is important that for non-minimally coupled constituents differs from the canonical Hamiltonian . This explains why previous definitions of the entanglement entropy in terms of failed to reproduce S^{BH}.
4 pages, the talk given at 3d Meeting on Constrained Dynamics and Quantum Gravity, Villasimius, Sardinia, Italy, 14-18 September, 1999