We establish the existence of a universal dissipative margin μ = α - β - κ, acting as a singular invariant for the stability of non-linear evolution systems. This framework provides a unified resolution to the seven Millennium Prize Problems as defined by the Clay Mathematics Institute. By demonstrating that the coercive dissipation α (System 2 / Top-down) dominates the non-linear amplification β (System 1 / Bottom-up) under the constraints of the Optimal Incoherence Theorem, we prove the global attractor stability for Navier--Stokes, the spectral confinement for Riemann, the mass gap in Yang--Mills, the entropic separation of P vs NP, the rank-stability in Birch and Swinnerton-Dyer, and the cohomological regularity of the Hodge Conjecture.
Rony Charlier (Mon,) studied this question.