Calculation of the Centrally Symmetric and Vortex Forces Acting on Momentum in Distortion Tensor Field: Explanation of High-Temperature Plasma and Vortex Motions

Aleksander Yakovlevich Braginsky

doi:10.4236/jamp.2019.74055

Aleksander Yakovlevich Braginsky

Open Access

https://doi.org/10.4236/jamp.2019.74055

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Abstract

The paper deals with calculation of the centrally symmetric and vortex forces for the momentum of a particle in the distortion tensor field from the action minimum, by analogy with the calculation of forces for a charge in an electromagnetic field. It is demonstrated that: 1) The compensating interaction tensor corresponds to the distortion tensor in a solid. 2) The centrally symmetric force of the distortion tensor acts on the momentum as a charge, and is analogous to the Coulomb force. In a gas, it results in change in the momentum value of the molecules exponentially to some extent. The action of this force explains the high-temperature plasma in the gas. 3) The vortex force of the distortion tensor is equivalent to the Peach-Koehler force in a solid. It acts on the momentum flow, similar to the Lorentz magnetic force, and explains the vortex motions in space, in the form of “black holes”, and in the atmosphere, in the form of cyclones and anticyclones.

Highlights

This paper deals with calculation of the forces acting on the momentum рi in the field of the distortion tensor Aij, by analogy with the calculation of the forces acting on a charge in an electromagnetic field [1]
It is known that the wave vector is proportional to the quantum momentum, so one may put the task of calculating the forces acting on a quantum momentum in the field of the distortion tensor, in analogy with the well-known task of field theory for electrodynamics [1]
Using the properties of the anti-symmetric Levi-Civita tensor, we find that the vortex force of the tensor Aij (17), which in the solid is the distortion tensor, is the Peach-Koehler force (18)

Summary

Introduction

This paper deals with calculation of the forces acting on the momentum рi in the field of the distortion tensor Aij , by analogy with the calculation of the forces acting on a charge in an electromagnetic field [1]. What kind of momentum is it and what is the tensor interaction field? In [2], a minimal interaction was obtained, where the charge is the wave vector κi , and the compensating field is the distortion tensor Aij. It is known that the wave vector is proportional to the quantum momentum, so one may put the task of calculating the forces acting on a quantum momentum in the field of the distortion tensor, in analogy with the well-known task of field theory for electrodynamics [1]. Let’s see what the distortion tensor is and where the minimal interaction comes from

Objectives

Conclusion