Chris Byers

Prime-Forced Word Dynamics and a Planar Graph Invariant: Least-Factor Vacancies, Self-Sustaining Prime Closure, and a Reciprocal-Logarithmic Graph Law

This preprint studies a deterministic word system on the alphabet {1,2,3} whose local evolution admits an exact arithmetic interpretation. The central result is a least-factor vacancy law: for a left-half cumulative coordinate x at layer N, the coordinate is vacant exactly when x...