Trinity Sigma: The 3-Channel RG That Predicts Geometry from Frequency

Trinity Sigma is a new way to predict geometry from data. We measure how signals change with scale (frequency) and fit two linked models: one that describes how three fields evolve together, and another that describes how the “Einstein-like” couplings change with scale. The surprise: these two models commute. That means applying the coupling update then the field update gives the same result as directly differentiating the Einstein relation. On real data, this predicts the observed geometric flow with R²≈0.9875, while the coupling dynamics themselves are learned with R²≈0.999. The closure holds across seven scales (R² 0.986–0.999). Trinity Sigma is precise, testable, and general.