Application of the Predicative Structural Method to the Analysis of "Dissipation Closure and the Structural Scale of Gravitational Compression"

This paper applies the Predicative Structural Method (PSM) developed in “A Predicative Structural Method for Dynamic System Analysis” (2026) to the framework presented in “Dissipation Closure and the Structural Scale of Gravitational Compression” (Myshko, 2026, Zenodo, DOI: 10.5281/zenodo.18828296; hereafter DCSGC). PSM, grounded in three minimal predicates—Differentiation (Diff), Stabilization (Fix), and Symmetry (Sym)—reveals the minimal logical structure of DCSGC, derives the dynamic constraint Rec ≳ Diss, and proposes a path toward formalization of the parameter κ. This enhances DCSGC’s predictive power by providing a structural meta-language that reduces the five invariants to the PSM triad plus two derived processes (recursion Rec and dissipation Diss), while preserving empirical calibration and observational implications.