On stability of the crystal universe models

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.