Formal Resolution of the Millennium Prize Problems: Causal and Spectral Inversions
Year: 2026
Type: article
Abstract: The six remaining unsolved Millennium Prize Problems formulated by the Clay Mathematics Institute are historically treated as independent challenges across pure mathematics. This document demonstrates that their intractability stems from a shared semantic discrepancy: the application of continuous, infinite-dimensional abstractions tomanifolds that implicitly require discrete, causal, or thermodynamic bounds. By mapping these problems into their physical and spectral duals—imposing finite enstrophy cutoffs, causal event horizons, non-perturbative measure generation, and self-adjoint spectral equivalence—we provide formal, unified proofs for Navier-Stokes (Blowup), P vs. NP (Separation), Yang-Mills (Strict Positivity), the Riemann Hypothesis (Critical Confinement), Birch and Swinnerton-Dyer (Rank Equality), and the Hodge Conjecture (Algebraic Stratification).
Author: Best, Stefan
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224013709