Stable Autosoliton of the Action Function as a Particle-Type Structure |
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Authors: | D V Strunin |
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Institution: | (1) Department of Mathematics and Computing, University of Southern Queensland, Toowoomba, Queensland, 4350, Australia |
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Abstract: | The Hamilton–Jacobi (HJ) equation for the action function plays a fundamental role in classical mechanics. A known consequence of the HJ equation is a blow-up of a disturbed free-particle solution. Following the idea of Sivashinsky, we formulate an extension of the HJ equation in which perturbations eventually evolve into a finite autosoliton associated with an elementary particle. A novel element of the model is stability of the autosoliton. We link uncertainties in the position and momentum of a particle to a width and amplitude of the autosoliton. We formulate restrictions on the coefficients of the model and compare the model with some existing theories of extended elementary objects. |
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