The Ladder of Observation: Structural Derivation of Dressing Exponents in Unified Structural Theory

We demonstrate that every dressing exponent in Unified Structural Theory's universal law O_phys = O_bare × (1+1/70)^n can be derived from a single principle: n counts the structural sectors coupled to the observable, with sign indicating probe direction. The hierarchy is mirror-symmetric: baryon probes (n=-3) mirror color force (+3), pair probes (-2) mirror strong force (+2), generation steps (-1) mirror EM charge (+1), and mixing angles sit at n=0 as bare geometry. From this principle we derive the Higgs/Z mass ratio (0.081%), proton magnetic moment (0.083%), solar neutrino angle sin²θ₁₂ = 7/23 (0.11%), atmospheric angle sin²θ₂₃ = 4/7 (0.27%), Cabibbo angle (0.31%), deuteron binding energy (0.28%), muon/electron mass ratio (0.32%), tau/muon ratio (0.34%), CMB spectral index (0.32%), and the Euler-Mascheroni constant as γ = (4/7)(71/70) (0.41%). Every measurement is a projection; the exponent counts the rungs. Companion paper to "Derivation of the Gravitational Coupling Constant."