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Mechanical Interpretation of the Klein-Gordon Equation: Difference between revisions

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==Abstract==
==Abstract==


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.[[Category:Scientific Paper]]
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.
 
[[Category:Scientific Paper|mechanical interpretation klein-gordon equation]]

Latest revision as of 12:41, 1 January 2017

Scientific Paper
TitleMechanical Interpretation of the Klein-Gordon Equation
Read in fullLink to paper
Author(s)Valery P Dmitriyev
Keywordsquantum physics, ideal fluid, line vortex, soliton
Published2001
JournalApeiron
Volume8
Number3
No. of pages6
Pages1-6

Read the full paper here

Abstract

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.