Mechanical model of the Lorentz force and Coulomb interaction |
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Authors: | Valery P Dmitriyev |
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Institution: | (1) Lomonosov University, P.O.Box 160, Moscow, 117574, Russia |
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Abstract: | The centripetal and Coriolis accelerations experienced by a cart traveling over a rotating turntable are usually calculated
proceeding from the known kinematics of the problem. Respective forces can be regarded as due to the entrainment of the cart
in the moving solid environs. We extend the approach to the general case of a particle entrained in the flow of the surrounding
medium. The expression for the driving force on the particle obtained from the kinematics of the entrainment prescribed appears
to be isomorphic to the Lorentz and Coulomb force on a positive electric charge. The inverse direction of the electromagnetic
force on a negative charge implies that a growing applied flow induces the upstream motion of the particle. A possible microscopic
mechanism for it may be the Magnus force dynamics of a kink in a vortex tangle. The loop on a straight vortex filament can
be taken as a model of the electron, the loop with a cavitation models the positron. The Lorentz force is concerned with the
Coriolis acceleration. The Coulomb interaction is due to the centripetal or centrifugal force that arises in the turbophoresis
of the kink in the perturbation field generated in the medium by the center of pressure.
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Keywords: | generalized Coriolis Lagrangian mechanics fluid dynamics electromagnetic interaction electromechanical analogy |
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