Gravitational - Scalar Instability of a Two-Component Degenerate System of Scalar Charged Fermions with Asymmetric Higgs Interaction

TL;DR

This paper develops a numerical model to study gravitational-scalar instability in a two-component system of scalar-charged degenerate fermions, revealing early-stage instabilities with potential energy redistribution effects.

Contribution

It introduces a new numerical model for cosmological evolution of gravitational-scalar perturbations in a two-component fermion system with scalar interaction.

Findings

Unstable modes can develop at very early cosmological stages.

The duration of instability phases is on the order of tens of Planck scales.

Energy redistribution can significantly amplify unstable modes.

Abstract

Based on the previously formulated mathematical model of a statistical system with scalar interaction of fermions and the theory of gravitational-scalar instability of a cosmological model based on a two-component statistical system of scalar-charged degenerate fermions, a numerical model of the cosmological evolution of gravitational-scalar perturbations is constructed and specific examples of the development of instability are given. Some features of the instability's development are investigated depending on the nature of the behavior of the unperturbed cosmological model. It is shown that unstable modes can appear at very early stages of cosmological expansion or contraction, and the duration of the unstable phase is comparable to tens of Planck scales. In this case, however, a very significant increase in unstable modes is possible due to the redistribution of energy between the components of the scalar doublet.