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arXiv · gr-qc/9911065

Black Hole Entropy in Induced Gravity and Information Loss

D. V. Fursaev
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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 $\cal E$, respectively. It is important that for non-minimally coupled constituents $\cal E$ differs from the canonical Hamiltonian $\cal H$. This explains why previous definitions of the entanglement entropy in terms of $\cal H$ failed to reproduce S^{BH}.

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D. V. Fursaev. 1999-11-18. Black Hole Entropy in Induced Gravity and Information Loss. https://doi.org/10.1016/s0920-5632(00)00784-2

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