Resolving information loss paradox with Euclidean path integral

Kavli Affiliate: Misao Sasaki

| First 5 Authors: Pisin Chen, Misao Sasaki, Dong-han Yeom, Junggi Yoon,

| Summary:

The information loss paradox remains unresolved ever since Hawking’s seminal
discovery of black hole evaporation. In this essay, we revisit the entanglement
entropy via Euclidean path integral (EPI) and allow for the branching of
semi-classical histories during the Lorentzian evolution. We posit that there
exist two histories that contribute to EPI, where one is information-losing
that dominates at early times, while the other is information-preserving that
dominates at late times. By so doing we recover the Page curve and preserve the
unitarity, albeit with the Page time shifted significantly towards the late
time. One implication is that the entropy bound may thus be violated. We
compare our approach with string-based islands and replica wormholes concepts.

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