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Mechanical Interpretation of the Klein-Gordon Equation

Valery P. Dmitriyev
Year: 2001 Pages: 6
Keywords: quantum physics, ideal fluid, line vortex, soliton
The substratum for physics can be seen microscopically as an ideal fluid traversed in all directions by straight vortex filaments. Small disturbances of an isolated filament are  considered. The Klein-Gordon equation without mass corresponds to elastic stretching of the filament. The wave function has the meaning of the curve's position vector. The mass part of the Klein-Gordon equation describes the rotation of the helical curve about the screw axis due to the hydrodynamic self-induction of the bent vortex filament.