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An Action for Black Hole Membranes
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An Action for Black Hole Membranes
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The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as Ohm's law and the Navier-Stokes equation. It has traditionally been derived by manipulating the equations of motion. Here we provide an action formulation of this picture, clarifying what underlies the paradigm, and simplifying the derivations. Within this framework, we derive previous membrane results, and extend them to dyonic black hole solutions. We discuss how it is that an action can produce dissipative equations. Using a Euclidean path integral, we show that familiar semi-classical thermodynamic properties of black holes also emerge from the membrane action. Finally, in a Hamiltonian description, we establish the validity of a minimum entropy production principle for black holes.
Forward citations
Cited by 8 Pith papers
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From Horizon Microstates to the Black Hole Membrane
A matrix model of black hole microstates is claimed to explain the membrane paradigm: horizon fermions form Landau levels and a condensed interface transfers their current to the exterior Maxwell field.
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Quantum Horizon and Quantum Membrane Paradigm from Black Hole Quantum Mechanics
Fuzzy-sphere horizon partons form LLL states under a Berry monopole and, after link condensation locks the horizon gauge field to the exterior Maxwell field, generate a physical membrane current with quantum correctio...
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Quantum Horizon and Quantum Membrane Paradigm from Black Hole Quantum Mechanics
Horizon partons on the fuzzy sphere form lowest-Landau-level states under an intrinsic Berry monopole, generating Ohmic, Hall and polarization currents that a link-field condensate locks to the bulk Maxwell field, yie...
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Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries
Probe waves in BPS microstate geometries increasingly match Berry random-wave statistics as the background approaches a black hole, while probe geodesics become more regular.
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Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries
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.
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Weyl anomaly induced transport in hydrodynamics
The Weyl anomaly induces a new non-dissipative current in accelerated fluids that fixes the electromagnetic-acceleration coupling at second order in hydrodynamics.
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Hydrodynamic properties in soliton field theory
Soliton formation in complex scalar field theory is framed as sound-mode-induced phase separation, and cylindrical Q-strings are shown to suffer a Rayleigh-Plateau membrane instability that breaks them into spheres.
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Modular quantization and black holes
Modular quantization of a single holographic CFT reproduces exact Hartle-Hawking correlators of smooth BTZ black holes in the semiclassical limit while yielding non-smooth stretched-horizon descriptions at finite GN.
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