The Stability of the Cosmological System of Degenerate Scalar Charged Fermions and Higgs Scalar Fields. II. The Evolution of Short-Wave Perturbations

TL;DR

This paper models the evolution of short-wave perturbations in a cosmological system of degenerate scalar-charged fermions with Higgs interaction, revealing new oscillation modes and potential mechanisms for dark matter condensate formation.

Contribution

It introduces a mathematical model for short-wave perturbations in a degenerate fermion-Higgs system, identifying a new oscillation mode linked to fermions and suggesting a dark matter formation mechanism.

Findings

Discovery of an additional oscillation mode in the perturbation spectrum.

Identification of conditions leading to infinite scalar potential and energy density.

Proposal of a mechanism for dark matter condensate formation.

Abstract

A mathematical model of the evolution of plane perturbations in the cosmological statistical system of completely degenerate scalar-charged fermions with Higgs scalar interaction for short-wave perturbations is formulated. These disturbance modes have been found and investigated. It is shown that in such a model an additional oscillation mode arises, which is associated directly with degenerate fermions, in which monotonically decreasing and increasing perturbations of the metric exist. In this case, there is such a time instant in the system that the potential of the scalar field, together with the energy density, tends to infinity. In this regard, an assumption is made about a possible mechanism for the formation of dark matter condensates.