Using Cardy-Jacobsen and Yaffe-Svetitsky Conjectures to Solve the Cosmological Domain Wall and Dark Matter Overproduction Problems

TL;DR

This paper proposes a novel mechanism combining Cardy-Jacobsen and Yaffe-Svetitsky conjectures to address cosmological domain wall and dark matter overproduction issues through late-time inflation and pseudo-inflation, avoiding traditional reheating.

Contribution

It introduces a new approach using conjectures to enable late-time inflation and pseudo-inflation, solving key cosmological problems without exponential expansion.

Findings

Cardy-Jacobsen and Zel'dovic incompatibility for domain walls

Pseudo-inflation involves latent heat release and entropy injection

Mechanism addresses relic overproduction without reheating

Abstract

In this paper I will combine and use two Cardy-Jacobsen and Yaffe-Svetitsky conjectures \cite{c.1,c.2} to present a mechanism for a late-time inflation during the electroweak symmetry breaking due to discrete $Z_3$ symmetry at $\textit{O} (10)^2$ GeV and a psudo-inflation at $\textit{O}(10)^2$ MeV scale in order to solve the cosmological domain wall problem as well as thermal and non-thermal relics overproduction in the early universe. We will see that Cardy-Jacobsen conjecture and Zel'dovic statement for cosmological domain wall problem are incompatible. Also, in the psudo-inflation mechanism presented here there would be a latent heat release and entropy injection without an exponential expansion and reheating period.