FST Spectrum Duality: The Renormalized Free Energy Principle as Physical Instantiation of Functional Stability Theory

We present the physical master paper of Functional Stability Theory (FST) — a unified mathematical framework identifying a single structural challenge underlying open problems across number theory, cosmology, fluid mechanics, and complexity theory: Functional Positivity under Gauge Constraint (Pattern A). Three ontological layers: (1) the abstract RFEP as universal stability meta-rule; (2) the Dissipative Selection Principle (DS1–DS3); and (3) domain-specific instantiations. The Five Masters Master Title Role DOI (Concept) Zookeeper The Spectral Zookeeper RH proof via CCM microcluster closure 10.5281/zenodo.19673126 Zeta Zoo The Zeta Zoo Classification (SGE taxonomy, Boundary Theorem) 10.5281/zenodo.19673226…