Stability of the cosmological system of degenerated scalar charged fermions and Higgs scalar fields. I. Mathematical model of linear plane perturbations

TL;DR

This paper develops a mathematical model for analyzing the evolution of small plane perturbations in a cosmological system composed of degenerated scalar-charged fermions interacting via the Higgs scalar, providing a foundation for understanding stability.

Contribution

It introduces a complete set of differential equations describing both the unperturbed state and the evolution of linear plane perturbations in this specific cosmological system.

Findings

Derived a closed system of equations for the unperturbed state.

Formulated self-consistent equations for perturbation evolution.

Provides a framework for stability analysis of the system.

Abstract

A mathematical model of the evolution of plane perturbations in the cosmological statistical system of completely degenerated scalar-charged fermions with the Higgs scalar interaction is formulated. A complete closed system of differential equations describing the unperturbed state of a homogeneous and isotropic system and a system of self-consistent equations describing the evolution of small perturbations are constructed.