Material Wrinkling and Deviations of Fundamental Constants:A Geometric Response Mechanism within the ZGD Framework

Paper III of Z-Geometric Dynamics (ZGD) derives a set of dimensionless ratios from the geometric structure of five- and seven-dimensional parameter spaces, in close agreement with experiment, though small deviations remain in several quantities. This paper starts from two observations: the relative deviations of α_EM/α and m_p/m_e are almost identical (1.88×10^(-5)), and the magnitude of the deviation increases with structural complexity. These patterns suggest that the deviations may share a common origin. This paper tests whether material wrinkling---independently established in Paper II to explain the R_p deviation---is their common source. The central result is the structure law: response = formula exponent × face sign × ΔI. Based on this law, the paper presents a conditional derivation of the strong-sector response exponent b = 11---given Lemma W (conservation of external path and internal scale under wrinkling) and the radius convention of Paper III, b = 11 is derived rather than fitted. Lemma W is a natural extension of the information-conservation axiom to the wrinkling process, not an independent axiom. The paper further states the one-dimensional measure theorem, the two-face structure, and the data constraint on H-R_2. The most precise long-term prediction is R_p = 46.50 Gly---the particle horizon radius inferred from the experimental precision of m_p/m_e. The precision of this prediction is limited by the measurement precision of the gravitational constant G (about 10^(-5)), but is still three orders of magnitude better than current cosmological observations. The test results show that three deviations---α_EM/α, α_s, and m_p/m_e---occupy the same structural channel, of which two have independent evidential support, and α_EM/α can be upgraded to a test once an independent measurement channel is established. The fourth deviation---sin^2 θ_W---is not connected to material wrinkling through any identified channel; its origin remains undetermined within the ZGD framework. It must be stated plainly that this work is a posteriori mechanism test---starting from the deviations and testing the compatibility of various mechanism candidates with the data. Material wrinkling was independently established in Paper II and is the first candidate tested here. The wrinkling response found in this paper covers three main deviations---of which two have independent evidential support, and the third (α_EM/α) has its observed value currently inferred from theory and does not constitute an independent test; its independent measurement channel remains to be established. This does not mean that wrinkling is the entire source of the deviations.