Reconstruction of Black Hole Islands from Hawking Radiation via the Algebraic Petz Map
The paper addresses how to reconstruct operators deep inside evaporating black holes from Hawking radiation, a key step in resolving the information paradox. Traditional methods fail because the interior is too complex for standard entanglement wedge reconstruction techniques. The authors propose using the algebraic Petz map and modular theory to create a rigorous protocol that maps island operators into the accessible radiation algebra, proving that trapped information is decodable.