English

Application of Solving Inverse Scattering Problem in Holographic Bulk Reconstruction

High Energy Physics - Theory 2025-11-25 v2 General Relativity and Quantum Cosmology

Abstract

We investigate the problem of bulk metric reconstruction in holography by leveraging the inverse scattering framework applied to boundary two-point correlation functions. We generalize our previous work of scalar field and show that reconstruction can be achieved using a single operator rather than a pair. We also apply this method into reconstruction of static homogeneous anisotropic black holes and the reconstruction using correlation function of gauge field. In addition, we analyze the method's robustness under measurement noise and propose filtering strategies to improve reconstruction accuracy. This work advances data-driven bulk reconstruction by providing a concrete, experimentally viable pathway to recover spacetime geometry from field-theoretic observables.

Keywords

Cite

@article{arxiv.2511.12886,
  title  = {Application of Solving Inverse Scattering Problem in Holographic Bulk Reconstruction},
  author = {Bo-Wen Fan and Run-Qiu Yang},
  journal= {arXiv preprint arXiv:2511.12886},
  year   = {2025}
}

Comments

28 pages, 12 figures, typos fixed and references added