A Romero-Law Graph-Dynamical Cosmology Without an Action Principle: From Pre-Geometry to Low-z Benchmarks (with a Reproducible "Universe Factory") V.2

Any proposal that modifies early rare-peak statistics must ultimately be tested against the established large-scale-structure record at low and intermediate redshift. This work presents an action-free formulation of the Relational Zero State (RZS) framework based on weighted graphs, node fields, and the Romero Law of Relational Stability. The construction starts from a pre-geometric system in which the weighted adjacency matrix and node fields evolve through explicit update rules designed to increase relational stability. In this setting, geometry is not assumed at the fundamental level, but emerges as a large-scale limit of relational dynamics. The paper also introduces a concrete benchmarking strategy that links the framework to standard low-redshift observables. The analysis preserves the two-point sector, then searches for the leading signature in even-order statistics, and finally connects the model to BOSS/SDSS-style measurements and mocks. Controlled IAAFT surrogate tests show that a symmetric, variance-preserving heavy-tail prescription can increase kurtosis and rare-event exceedance rates while leaving the target two-point spectrum essentially unchanged. The result is a reproducible and testable framework that moves the RZS program from conceptual construction toward survey-level comparison.