alexa THE HYDRODYNAMICS OF ATOMS OF SPACETIME: GRAVITATIONAL FIELD EQUATION IS NAVIER–STOKES EQUATION Read More: http: www.worldscientific.com doi abs 10.1142 S0218271811020603?journalCode=ijmpd
Physics

Physics

Fluid Mechanics: Open Access

Author(s): T PADMANABHAN

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There is considerable evidence to suggest that field equations of gravity have the same conceptual status as the equations of hydrodynamics or elasticity. We add further support to this paradigm by showing that Einstein"s field equations are identical in form to Navier–Stokes equations of hydrodynamics, when projected on to any null surface. In fact, these equations can be obtained directly by extremizing of entropy associated with the deformations of null surfaces thereby providing a completely thermodynamic route to gravitational field equations. Several curious features of this remarkable connection (including a phenomenon of "dissipation without dissipation") are described and the implications for the emergent paradigm of gravity is highlighted. 

This article was published in International Journal of Modern Physics D and referenced in Fluid Mechanics: Open Access

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