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Holography of the Photon Ring

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arxiv 2205.05064 v1 pith:KF3ODLUU submitted 2022-05-10 gr-qc astro-ph.HEhep-th

Shahar Hadar , Daniel Kapec , Alexandru Lupsasca , Andrew Strominger This is my paper
classification gr-qcastro-ph.HEhep-th
keywords blackkerrholephotonquantumringapproachconformal
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Space-based next-generation interferometers propose to measure the Lyapunov exponents of the nearly bound geodesics that comprise the photon ring surrounding the black hole M87*. We argue that these classical Lyapunov exponents equal the quantum Ruelle resonances describing the late-time approach to thermal equilibrium of the quantum microstate holographically dual to any Kerr black hole such as M87*. Moreover, we identify "near-ring regions" in the phase space of fields propagating on Kerr that exhibit critical behavior, including emergent conformal symmetries. These are analogues for sub-extremal Kerr of the much-studied "near-horizon regions" of (near-)extremal black holes. The emergent conformal symmetries greatly constrain the observational predictions for the fine photon ring substructure around M87* and for quasinormal gravitational-wave ringdowns, as well as any proposal for a quantum holographic dual to the Kerr black hole. More generally, we hope that our identification of several universal features of Kerr spectroscopy provides a useful starting point for a bottom-up approach to holography for astrophysical black holes.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

    gr-qc 2025-07 conditional novelty 7.0 of 10

    Kerr quadratic quasi-normal mode amplitudes and phases are computed analytically in the eikonal limit via the Penrose limit, giving an explicit spin-dependent nonlinearity ratio.

  2. Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries

    hep-th 2026-07 conditional novelty 6.0 of 10

    Wave chaos in BPS microstate geometries strengthens toward black-hole-like throats while geodesic chaos weakens, and weak-coupling CFT Renyi entropies do not share that bulk hierarchy.

  3. Black Hole Mergers as the Fastest Photon Ring Scramblers

    gr-qc 2026-03 conditional novelty 6.0 of 10

    Merger remnant mass and spin are claimed to maximize the average Lyapunov exponent of the photon shell of an effective Kerr black hole, matching numerical relativity fits within a few percent for q ≲ 20.

  4. Photon rings in a holographic toy model

    hep-th 2025-06 conditional novelty 6.0 of 10

    In warped AdS3 black holes, the eikonal quasinormal-mode spectrum is governed exactly by the photon ring's orbital frequency and Lyapunov exponent, with different boundary conditions picking out the outer or inner ring.

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