Kavli Affiliate: Misao Sasaki
| First 5 Authors: Pisin Chen, Misao Sasaki, Dong-han Yeom, Junggi Yoon,
| Summary:
The information loss paradox associated with black hole Hawking evaporation
is an unresolved problem in modern theoretical physics. In a recent brief
essay, we revisited the the evolution of the black hole entanglement entropy
via the Euclidean path integral (EPI) of the quantum state and allow for the
branching of semi-classical histories along the Lorentzian evolution. We
posited that there exist at least two histories that contribute to EPI, where
one is an information-losing history while the other is information-preserving.
At early times, the former dominates EPI, while at late times the latter
becomes dominant. By so doing we recovered the essence of the Page curve and
thus the unitarity, albeit with the turning point, i.e., the Page time, much
shifted toward the late time. In this full-length paper, we fill in the details
of our arguments and calculations to strengthen our notion. One implication of
this modified Page curve is that the entropy bound may thus be violated. We
comment on the similarity and difference between our approach and that of the
replica wormholes and the islands conjectures.
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