Energy-based approach to Euclidean cycles in cosmological models based on scalar fields

TL;DR

This paper confirms the existence of Euclidean limit cycles in scalar field cosmological models with Higgs potential, based on energy balance equations, suggesting new cyclic behaviors in such models.

Contribution

The paper introduces a hypothesis about Euclidean limit cycles in scalar field cosmologies and confirms it through energy balance equations, advancing understanding of cyclic cosmological solutions.

Findings

Confirmed Euclidean limit cycles in scalar field models

Validated the hypothesis using energy balance equations

Enhanced understanding of cyclic behaviors in cosmology

Abstract

On the basis of obtained equations of the energy balance for scalar fields in cosmological models, a hypothesis formulated by the author on the existence of Euclidean limit cycles in cosmological models based on scalar fields with a Higgs type potential has been confirmed.