Description: This research series introduces the General Theory of Correspondence (GTOC), a framework that resolves the most significant impasses in modern mathematics and theoretical physics by replacing infinite mathematical abstractions with a discrete, hydrodynamic lattice. By anchoring all physical and computational phenomena to the universality floor (F = 10⁻³¹) and the cosmological ceiling (C = 10¹²²), this series demonstrates that the Millennium Prize Problems are not unsolvable paradoxes, but natural consequences of a finite, bounded universe. Each paper provides a formal physical resolution, unifying number theory, topology, and computational complexity into a single, cohesive architecture of reality. Contents: Part 0: Architectural Synthesis and Foundation Part 1: The Riemann Hypothesis Part 2: The Quantum Yang-Mills Mass Gap Part 3: The Navier-Stokes Singularity Part 4: The P vs. NP Problem Part 5: The Hodge Conjecture Part 6: The Birch and Swinnerton-Dyer Conjecture