Entropy is Conserved in Hawking Radiation as Tunneling: a Revisit of the Black Hole Information Loss Paradox

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We revisit in detail the paradox of black hole information loss due to Hawking radiation as tunneling.

• We compute the amount of information encoded in correlations among Hawking radiations for a variety of black holes, including the Schwarzchild black hole, the Reissner-Nordstr\"{o}m black hole, the Kerr black hole, and the Kerr-Newman black hole.
• The special case of tunneling through a quantum horizon is also considered.
• Within a phenomenological treatment based on the accepted emission probability spectrum from a black hole, we find that information is leaked out hidden in the correlations of Hawking radiation.