nLab
fluid/gravity correspondence

Contents

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

String theory

Contents

Idea

As a variant or special sector of the AdS/CFT correspondence, the fluid/gravity correspondence re-identifies aspects of (quantum) gravity (string theory) on asymptotically approximately anti de Sitter spacetimes with those of certain fluid dynamics on the asymptotic boundary.

Applications

To the quark-gluon plasma

For example some properties of the quark gluon plasma in quantum chromodynamics are captured well by fluid dynamics, and after realizing QCD on D4-D8-brane bound states (the AdS/QCD correspondence) AdS/CFT provides a handle on this fluid dynamics in terms of the (quantum) gravity (string theory) on an ambnient bulk \sim anti de Sitter spacetime.

To the relativistic Navier-Stokes equation

The fluid/gravity correspondence involves the relativistic Navier-Stokes equation on the fluid side. (BKLS 12 see Thillaisundaram 17)

But it seems to remain open whether the correspondence sheds much light on the non-relativistic Navier-Stokes equation (the one whose stability is a Millennium Problem).

References

The concept originates with

Relation to the Navier-Stokes equation:

Review:

Last revised on February 18, 2020 at 00:24:37. See the history of this page for a list of all contributions to it.