The Quark Mass Hierarchy: Twin Prime Selection, Boundary Breathing, and Topological Protection

Building on the Bootstrap Universe framework where D=3 emerges from D(D+1)=2xD!, we derive all sixquark masses from icosahedral geometry. Quarks occupy resonance positions at twin prime bridges(11, 19, 43, 67, 107) with mass scaling as bridge^5. We establish that: (1) the d quark acts as theproton's rotating motor, cycling through phase positions at c; (2) proton stability arises from topologicalprotection under mod-6 operations; (3) the apparent "errors" in base predictions are boundarybreathing — a standing wave with amplitude 1/19 that damps by D=3 per shell; (4) the ratio (19/11)unifies all corrections: d gains (19/11)^(7/5), t loses (19/11)^(1/5), with exponents summing to 6/5 x 5 =D!. All six quark masses are predicted within 0.6% of measured values. The proton emerges as ageometric necessity, not an accident.