Resolving information loss paradox with Euclidean path integral

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