The Seventh ZFPD: Standard Model Quark Masses and the Topological Fragmentation of the Knode

This paper presents the Seventh Zero-Free-Parameter Derivation (ZFPD) within the KnoWellian Universe Theory (KUT) framework, providing a first-principles geometric derivation of the Standard Model quark masses. While orthodox Quantum Chromodynamics (QCD) relies on no fewer than twelve arbitrary Yukawa coupling parameters to assign masses to quarks, this work demonstrates that quarks are not independent "particles" but are Topological Winding Fragments of the (3, 2) Torus Knot (the Trefoil Knode). The author derives the fundamental quark mass ratio (md / mᵤ) as a necessary consequence of the Knode's meridional fragmentation, yielding the equation: md / mᵤ = (n/m) = 2/3 2. 094. This result achieves a 98. 2% accord with the Particle Data Group (PDG) central recommended value. Furthermore, the paper derives absolute bare masses for the Up and Down quarks by distributing the squared KnoWellian Offset (₊ₖ² 0. 0139) across the five-fold Cairo Q-Lattice (CQL). Significantly, this derivation resolves the long-standing "Generation Problem" in particle physics. By identifying quark generations as Fractal Over-winding states (5ᵏ) of the Abraxian Engine, the paper explains the multi-order-of-magnitude mass jump between the first and third generations without additional parameters. This document officially completes the KnoWellian Octad, proving that the internal structure of the nucleus is governed by the same topological integrity as the macrocosm. Keywords KnoWellian Universe Theory (KUT), Zero-Free-Parameter Derivation (ZFPD), Quark Masses, Standard Model, (3, 2) Torus Knot, Topological Fragmentation, Color Confinement, Fragmentation Ratio (2. 094), Bare Quark Masses, Up Quark, Down Quark, Fractal Over-winding, Cairo Q-Lattice (CQL), Proton Mass Budget, Meridional Winding, Yukawa Couplings, Nucleon Scale, Abraxian Engine, i-Turn, Universal Honesty, Meta-ethical Trinity, Particle Data Group (PDG) Accord.