ECF III: Self-Consistency Gradient Flow Dynamics of Self-Constrained Systems

Version: Version 4.0 (new version; the concept DOI chain is preserved) Version description: This updated version reconstructs the convergence proof of the self-consistency functional: the strict monotonicity of \\(H\\) is established explicitly via \\(H' = C_G' + C_G'(1-\\lambda) > 0\\), with differentiability and the strict sign of the derivatives stated as explicit parts of the C-tier configuration hypothesis; the stability proof is reordered (boundedness first, then LaSalle); the order-density of the skeleton is argued as a generative fact of the never-completed unfolding; the kernel symmetry is marked as a C-tier construct choice (not a definitional consequence of P2); the thermodynamic remark is reduced to an initial analogy; the internal coarse-graining scale replaces the external observational precision; the A-tier presuppositions include the three original facts; and the one-way dependency structure across the series is made explicit.