HoloCrystal Methods: Derivation and Uniqueness of the Void Structure

This paper provides the methodological foundation for the HoloCrystal framework, which derives fundamental physics constants from four void positions in a relational manifold. I present three key results: (1) a uniqueness proof showing the void set {2, 7, 8, 11} is the minimal configuration satisfying closure, physics generation, and minimality constraints; (2) a constraint lattice analysis demonstrating that the gravitational constant formula is geometrically necessary—any perturbation increases error monotonically; and (3) validation data showing the same structure predicts molecular conformation frequencies to 89% accuracy. The framework is not curve-fitting: the solutions are forced by geometric constraints, and perturbations grow monotonically away from them.