Cosmological evolution of a statistical system of degenerate scalar charged fermions with an asymmetric scalar doublet. II. One-component system of doubly charged fermions

TL;DR

This paper develops a cosmological model involving a one-component system of doubly scalar charged degenerate fermions interacting with an asymmetric scalar doublet, revealing possible phase transitions and finite lifetime scenarios.

Contribution

It introduces a new cosmological model with doubly charged fermions and analyzes its asymptotic behavior, singularities, and phase transitions through numerical and qualitative methods.

Findings

Existence of models with finite lifetime.

Transitions from stable vacuum to expansion phase.

Oscillations during phase transition.

Abstract

Based on the previously formulated mathematical model of a statistical system with scalar interaction of fermions, a cosmological model based on a one-component statistical system of doubly scalar charged degenerate fermions interacting with an asymmetric scalar doublet-canonical and phantom scalar fields-is studied. The connection of the presented model with previously studied models based on one-component and two-component fermion systems is investigated. The asymptotic and limiting properties of the cosmological model are investigated, it is shown that among all models there is a class of models with a finite lifetime. The asymptotic behavior of models near the corresponding singularities is investigated, a qualitative analysis of the corresponding dynamical system is carried out, and numerical implementations of such models are constructed. Based on numerical integration, it is shown that in the presented model there can be transitions from a stable asymptotically vacuum state with a zero canonical field and a constant phantom field corresponding to the phase of cosmological compression to a symmetric state corresponding to the expansion phase. The time interval of the transition between phases is accompanied by oscillations of the canonical scalar field.