Geometric Dynamics of Plasma in Jet Spaces with Berwald-Moor Metric

TL;DR

This paper develops differential equations describing plasma streamlines within a non-isotropic medium modeled by a Berwald-Moor metric in jet spaces, advancing geometric plasma physics understanding.

Contribution

It introduces a novel geometric framework for plasma using jet rheonomic Berwald-Moor metrics, deriving specific differential equations for plasma streamlines.

Findings

Derived new differential equations for plasma streamlines.

Applied jet rheonomic Berwald-Moor metric to plasma modeling.

Enhanced geometric understanding of non-isotropic plasma behavior.

Abstract

In this paper we construct the differential equations of the stream lines that characterize plasma regarded as a non-isotropic medium geometrized by a jet rheonomic time-invariant Berwald-Moor metric. Section 1 contains historical notes regarding the Plasma Physics and its geometrical description. Section 2 analyzes the generalized Lagrange geometrical approach of the non-isotropic plasma on 1-jet spaces. Section 3 studies the non-isotropic plasma as a medium geometrized by the jet rheonomic Berwald-Moor metric.