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Black hole radial geometry from a quantum spin chain
Abstract
We show that the radial differential equation for a scalar field in an anti-de Sitter black brane background can be encoded in an exactly solvable semi-infinite spin chain independent of dimensionality. The radial coordinate emerges as lattice quasimomentum. Spin coherence encodes the geometry, while the spectrum and response recover gravitational observables and yield exact screening-mass sum rules. We implement the finite chain on a superconducting processor. At finite filling and low energies, the model yields a conformal field theory in a coordinate proportional to proper radial distance.
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BibTeX
@misc{khanikati2026black,
title = {{Black hole radial geometry from a quantum spin chain}},
author = {Boris A. Khanikati},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10504},
eprint = {2610.10504},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10504},
}
RIS
TY - UNPB
TI - Black hole radial geometry from a quantum spin chain
AU - Boris A. Khanikati
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10504
UR - https://arxiv.org/abs/2610.10504
AB - We show that the radial differential equation for a scalar field in an anti-de Sitter black brane background can be encoded in an exactly solvable semi-infinite spin chain independent of dimensionality. The radial coordinate emerges as lattice quasimomentum. Spin coherence encodes the geometry, while the spectrum and response recover gravitational observables and yield exact screening-mass sum rules. We implement the finite chain on a superconducting processor. At finite filling and low energies, the model yields a conformal field theory in a coordinate proportional to proper radial distance.
ER -