Yukawa-Induced Fermion Mass Generation and Wilson Criticality in a Dynamical Graph Surrogate

We study whether a background-free graph surrogate supports a Higgs-sensitive fermion mass response once its geometry and Higgs sector are frozen from a stabilized electroweak-like branch. Using Wilson fermions and a graph-adapted propagator, we test if the fermion sector exhibits a heavy-mass regime and if the effective mass responds to the Yukawa coupling near the Wilson critical region. We find four linked results. First, at bare mass m₀=5. 0, the shell-averaged propagator decays sharply between radii r=0 and r=1, yielding an effective mass proxy m₄₅₅2. 43 via the ratio (0) /G (1), confirming a heavy fermion branch. Second, scanning the bare mass reveals a near-chiral critical region around m₀1. 0, consistent with additive mass renormalization. Third, scanning the Yukawa coupling at m₀=1. 0 reveals a nontrivial mass response and narrow critical band: over y0. 50, 0. 60, the mass proxy rises rapidly from 0. 069 to 1. 368. Fourth, a long-run validation on a larger N=1024 background shows that both the Dirac gap and graph-local propagator gap increase monotonically with Yukawa coupling over y0, 2, with near-linear fits R^20. 99998 and R^20. 992, respectively. The narrow claim is that the QGEFT surrogate supports a Higgs-sensitive fermion mass response, a Wilson-like critical band on a fluctuating graph, and is effectively probed by a graph-local observable resolving both the critical onset and heavy branches.