Ψ-model of micro- and macrosystems

2016/12/27 by E. E. Perepelkin, Б. И. Садовников, B. I. Sadovnikov +2
Mathematics · Medicine · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Biofield Effects and Biophysics #Charge (physics) #Field (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Pure mathematics #Quantum Mechanics and Applications #Quantum mechanics #Spiral (railway) #Vector field #physics.gen-ph

paper · pdf · doi:10.1016/j.aop.2017.05.014

44 pages, 22 figures

arxiv created 2016/12/27 · openalex created_date 2017/02/17 · openalex publication_date 2017/06/23 · arxiv updated 2017/08/23 · openalex updated_date 2026/08/05

Abstract

A mathematical model (referred as Ψ - model for convenience) has been developed, which allows describing certain class of micro- and macrosystems. Ψ - model is based on continuum and quantum mechanics. Ψ - model describes micro- and macrosystems, in which vector field of velocities of probability flows, charge, mass has specific spiral structure. The field of velocities has spiral structure on concentric spherical surfaces. The velocity field is not defined and has a characteristic property on the poles of sphere and on the axis and tends to zero at infinity. The behavior of Ψ - model can be described in the general case with unsteady periodic singular solution of the Schrödinger equation. The application of Ψ - model to the description of elementary particles gives naturally the intrinsic magnetic moment (spin) without need in modification of g-factor. The spin is interpreted as rotation in the framework of the relativity theory. The application of Ψ -model to astrophysics gives formally an interpretation of black and white hole, wormhole, structure of the galaxy, anti-galaxy and «enclosed worlds».

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