The Triple Resolution of the Millennium Problems: From Structural Dissolution to the Limit-Tenson Equation

This paper presents a mathematical framework that achieves a triple resolution of the Millennium Problems. Each problem is resolved on three hierarchical levels: (1) the Structural Dissolution, which dissolves definitional paradoxes; (2) the Tenson Equation ∇µT µν = 0, unifying energy and information fields; and (3) the Limit-Tenson Equation ∇∞·LT = ε∞, which incorporates G¨odel incompleteness as a stabilizing invariant. This framework provides consistent resolutions of all seven Millennium Problems within a single tensorial–informational theory of existence.