The Standard Model from NWT Topology: A One-Input Framework for the Particle Spectrum (Paper 13)

Null Worldtube Theory (NWT) identifies fundamental particles with torus-knot vortex defects in a universal condensate. We present the Standard Model particle spectrum as reconstructed within this framework, using a single continuous input — a mass-scale anchor — plus a discrete vocabulary of topological integers derived from torus-knot crossing algebra. Eighty observables (75 particles plus mixing and coupling parameters) are reproduced at a median residual of 0.1% against PDG values, with all integers independently verified from knot geometry. The fine structure constant emerges as 1/α = 25π√3 + 1 = 137.035 to 7.6 ppm. The companion Paper 14 derives all fifteen vocabulary integers from crossing counts, braid-group Casimir invariants, and toroidal eigenvalues, confirming that the integers are output of the knot geometry rather than fitted parameters.