Tunneling, Page Curve and Black Hole Information

Abstract

In a recent paper [1], we proposed that the quantum states of black hole responsible for the Bekenstein-Hawking entropy are given by Bell states of Fermi quanta in the interior of black hole. In this paper, we include the effect of tunneling on these entangled states and show that partial tunneling of these Bell states of Fermi quanta give rises to the Page curve of Hawking radiation. We also show that the entirety of information initially stored in the black hole is returned to the outside via the Hawking radiation.

Comments: v2: 11 pages, 3 figures. reference updated. This paper implements the tunneling idea of arXiv:2209.03610 in terms of the Fermi d.o.f. of the Fermi model proposed in arXiv:2307.06164