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We find S-matrix evidence that longitudinal string spreading can induceinteractions between early and late time systems in the near-horizon region ofa black hole. By generalizing the effect to closed strings and performing aneikonal resummation, we find a tractable regime where these interactions becomestrong at a Schwarzschild time separation $\Delta t \gg r_s$. We estimate themutual information in a scenario analogous to Hayden-Preskill, and we find thatstring spreading is sufficient in itself for a late-time detector to recover asignificant fraction of the information encoded in an infaller's state.Interesting open directions include analysis of the interaction of the detectorwith Unruh radiation (which may introduce noise that somewhat degrades therecovery), and formulating the optimal detector setup including many entangleddetectors (which could further increase the information recovery by enhancingsensitivity to kinematic parameters with subleading dependence in theamplitude).

Recovering Infalling Information via String Spreading