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Carrollian hydrodynamics and symplectic structure on stretched horizons

9 Pith papers cite this work. Polarity classification is still indexing.

9 Pith papers citing it
abstract

The membrane paradigm displays underlying connections between a timelike stretched horizon and a null boundary (such as a black hole horizon) and bridges the gravitational dynamics of the horizon with fluid dynamics. In this work, we revisit the membrane viewpoint of a finite distance null boundary and present a unified geometrical treatment to the stretched horizon and the null boundary based on the rigging technique of hypersurfaces. This allows us to provide a unified geometrical description of null and timelike hypersurfaces, which resolves the singularity of the null limit appearing in the conventional stretched horizon description. We also extend the Carrollian fluid picture and the geometrical Carrollian description of the null horizon, which have been recently argued to be the correct fluid picture of the null boundary, to the stretched horizon. To this end, we draw a dictionary between gravitational degrees of freedom on the stretched horizon and the Carrollian fluid quantities and show that Einstein's equations projected onto the horizon are the Carrollian hydrodynamic conservation laws. Lastly, we report that the gravitational pre-symplectic potential of the stretched horizon can be expressed in terms of conjugate variables of Carrollian fluids and also derive the Carrollian conservation laws and the corresponding Noether charges from symmetries.

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2026 7 2025 2

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representative citing papers

Quantization of Gravity on Null Hypersurfaces

hep-th · 2026-07-08 · conditional · novelty 7.0

An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.

Statistical Physics of Planar Carroll Systems

math-ph · 2026-06-22 · unverdicted · novelty 7.0

Planar Carrollian statistical physics is well-defined thanks to central extensions and rotation, yielding logarithmic entropy scaling with disc area and two-dimensional ideal-gas pressure.

Kinetic Theory of Carroll Hydrodynamics

hep-th · 2026-05-07 · unverdicted · novelty 7.0 · 2 refs

A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.

Radiation in Fluid/Gravity and the Flat Limit

hep-th · 2025-08-02 · unverdicted · novelty 6.0

Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

Mapping the Infrared Phase Space of Gravity to Finite Subregions

hep-th · 2026-06-10 · unverdicted · novelty 5.0

Phase space of arbitrary null cut in Minkowski spacetime is symplectomorphic to infrared phase space of asymptotically flat gravity, mapping cut fluctuations to leading soft graviton mode and supertranslation Goldstone mode to cut size times null time offset.

The Carrollian Kaleidoscope

hep-th · 2025-06-19 · unverdicted · novelty 1.0

A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.

citing papers explorer

Showing 9 of 9 citing papers.

  • Gravitational null rays: Covariant Quantization and the Dressing Time hep-th · 2026-04-02 · unverdicted · none · ref 91

    Gravitational null rays are quantized in a diffeomorphism-covariant way using the gravitational dressing time as quantum reference frame, producing a Virasoro crossed-product algebra of gauge-invariant observables.

  • Quantization of Gravity on Null Hypersurfaces hep-th · 2026-07-08 · conditional · none · ref 88 · internal anchor

    An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.

  • Statistical Physics of Planar Carroll Systems math-ph · 2026-06-22 · unverdicted · none · ref 23

    Planar Carrollian statistical physics is well-defined thanks to central extensions and rotation, yielding logarithmic entropy scaling with disc area and two-dimensional ideal-gas pressure.

  • Kinetic Theory of Carroll Hydrodynamics hep-th · 2026-05-07 · unverdicted · none · ref 53 · 2 links

    A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.

  • Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions hep-th · 2026-06-24 · unverdicted · none · ref 46 · 2 links

    Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.

  • Radiation in Fluid/Gravity and the Flat Limit hep-th · 2025-08-02 · unverdicted · none · ref 214

    Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

  • Mapping the Infrared Phase Space of Gravity to Finite Subregions hep-th · 2026-06-10 · unverdicted · none · ref 61

    Phase space of arbitrary null cut in Minkowski spacetime is symplectomorphic to infrared phase space of asymptotically flat gravity, mapping cut fluctuations to leading soft graviton mode and supertranslation Goldstone mode to cut size times null time offset.

  • Phase-Space Contractions of Carrollian Black-Hole Thermodynamics hep-th · 2026-04-30 · unverdicted · none · ref 14 · 3 links

    Double-scaling contractions of extended AdS black-hole thermodynamics produce finite Carrollian phase-space first laws with pressure-volume contributions under the condition α + γ = 1.

  • The Carrollian Kaleidoscope hep-th · 2025-06-19 · unverdicted · none · ref 260

    A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.