3 problems

Ordered-or-defective twin conjecture. Ordered equilibria arise only from single-string tessellations, and stable equilibria are either ordered or have defects.

Bulk-energy delta-limit conjecture. The effects of the growing population of moderate-defect equilibria and the upper stability cutoff generate a self-similar distribution of inher…

Bulk self-similarity conjecture. The large-$N$ bulk distribution is independent of $\alpha$ and is self-similar in $N$ about the fixed energy $\bar{E}_*$.