Emergent Stable Lattice Structures and Dimensionless Invariants in Blind Law-Space Exploration

This paper presents results from a controlled computational exploration of alternative fundamental interaction laws, aimed at identifying persistent, self-consistent structures without assuming known physical constants or equations. Under minimal constraints of causal consistency, energy-like conservation, and information coherence—while forbidding standard-model or general-relativistic parameters—a stable lattice of 223 sites emerges with zero topology variance, global stability metric 7.730, complexity ≈5.951, self-similarity ≈0.731, and causal density ≈0.574. Blind extraction of dimensionless ratios yields values proximate to the fine-structure constant (≈1/137.04), proton-electron mass ratio (≈1836.15), weak mixing angle squared (≈0.231), and density parameter (≈0.300), with relative errors