The Fermat Sextic and the Collapse of the Mathematical Canon

We present a complete, parameter-free geometric framework derived from the folding of the Fermat sextic threefold. The framework solves, in one stroke, the fine-structure constant, P vs NP, the Hodge conjecture, the Navier-Stokes existence problem, the Jacobian conjecture, the Riemann hypothesis, Landau's four problems, Taniyama's 36, Thurston's 24, Smale's 18, and the limits of intelligence. All solutions emerge from the same object: the 17-torus and its four fundamental shapes—the torus, the fold, the projection, and the hole. The fine-structure constant is derived as α⁻¹ = 208π^2/15 + 0.1775 , where 0.1775 = /4 is the friction constant of the Randers drift b_μ . The framework is falsifiable, testable, and consistent with all existing data. The geometry holds.