The Renormalized Free Energy Framework: A Unified Resolution of Structural Bottlenecks
Abstract
v1.2 changelog (2026-03-15): Pattern-A table expanded from 5 to 8 instantiations (added Thermodynamic, Chemical, Biological Game Theory) New Remark: Uniqueness vs. Multiplicity in Pattern A (strict convexity → unique; non-convex → multiple equilibria) New Remark: Quantitative confirmation S_obs/S_max_2D = 0.47 from FST-I thermodynamic fine-tuning analysis Navier-Stokes updated to H¹-level attractor distance (Sprint 2 Leray barrier finding) Turbulence updated to stability-selected dissipation (replacing MEPP) Section 5 renamed: "Primary Implementation: The Riemann Hypothesis" (FST prefix removed) Bibkeys updated: FST-RH → GeigerRH2026 v1.1 changelog: Leray energy identity barrier documented; NS instantiation corrected to H¹-level; new bibliography entries. We present a unified mathematical framework for the resolution of structural bottlenecks across number theory, cosmology, fluid mechanics, and game theory. The framework identifies Pattern A (Second-Order Resolvent Dominance) as the universal stability mechanism.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Earth Systems and Cosmic Evolution
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Document type
- Preprint