A Complete Model of Cosmological Evolution of Scalar Field with Higgs Potential and Euclidian Cycles

TL;DR

This paper revises previous models of Higgs scalar field cosmology, demonstrating that the universe can smoothly transition to collapse rather than winding on boundary conditions, using numerical simulations.

Contribution

It removes the assumption of non-negativity of the universe's extension velocity, allowing for a more complete understanding of Euclidian cycles in Higgs scalar field cosmology.

Findings

Transition to collapse occurs when effective energy tends to zero.

Smooth transition to negative extension velocity range is possible.

Numerical simulations support the revised model.

Abstract

The revision of the Author's results with respect to possibility of existence of the so-called Euclidian cycles in cosmological evolution of a system of Higgs scalar fields has been performed. The assumption of non-negativity of the Universe's extension velocity, which contradicts in certain cases to complete system of Einstein equations, has been removed. It has been shown that in cases when effective energy of the system tends to zero, a smooth transition of the model to the range of negative values of the extension velocity occurs, i.e. it occurs the transition to collapse stage rather than winding of the phase trajectories on the boundary of prohibited area. This process has been researched with a help of numerical simulation methods for the model based on classical scalar Higgs field.