Cosmological evolution of a statistical system of degenerate scalar-charged fermions with an asymmetric scalar doublet. I. Two-component system of assorted charges

TL;DR

This paper develops a cosmological model involving a two-component system of scalar-charged degenerate fermions interacting with an asymmetric scalar doublet, analyzing its asymptotic behavior, singularities, and finite lifetime scenarios.

Contribution

It introduces a novel two-component statistical system with scalar interactions and explores its cosmological evolution, including singularities and finite lifetime models.

Findings

Identification of models with finite cosmological lifetime

Analysis of asymptotic behavior near singularities

Numerical simulations of the system's evolution

Abstract

Based on the mathematical model of a statistical system with scalar interaction of fermions formulated earlier, a cosmological model based on a two-component statistical system of scalar charged degenerate fermions interacting with an asymmetric scalar doublet, canonical and phantom scalar fields, is investigated. The asymptotic and limiting properties of the cosmological model are investigated, and 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 and numerical implementations of such models are constructed.