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Massive particles in acoustic space-times: Emergent inertia and passive gravity

2006
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Physical Review D
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I show that massive-particle dynamics can be simulated by a weak, spherical, external perturbation on a potential flow in an ideal fluid. The effective Lagrangian is of the form mc^2L(U^2/c^2), where U is the velocity of the particle relative to the fluid and c the speed of sound. This can serve as a model for emergent relativistic inertia a la Mach's principle with m playing the role of inertial mass, and also of analog gravity where it is also the passive gravitational mass. m depends on the

doi:10.1103/physrevd.73.084005
fatcat:gvnne7yugvcxhjj4tifuwgywsi