On Stability Of The Crystal Universe Models

TL;DR

This paper investigates the stability of Crystal Universe models by generalizing the Goldberger-Wise mechanism, revealing that without fine-tuning, brane crystals are not equidistant, challenging previous assumptions.

Contribution

It introduces a generalized stabilization mechanism for Crystal Universe models and shows that brane configurations are generally non-equidistant without fine-tuning.

Findings

Models can be stabilized with the generalized mechanism.

Brane crystals are not equidistant without fine-tuning.

Configurations differ from previous assumptions in the literature.

Abstract

We generalize the Goldberger-Wise mechanism and study the stability of the Crystal Universe models. We show that the model can be stabilized, however for configurations of Crystal Universe in the absence of fine-tuning, brane crystals are not equidistant, i.e. a $"-+"$ pair is far away from adjacent $"-+"$ pair, except for the fixed points of the orbifold, which differs from the assumptions taken in the literature.