The Mesoscopic G-Gap: Metric Stiffening and the Prediction of Excess Gravity in the 1–50µm Regime

Standard extensions to the Standard Model, such as Large Extra Dimensions (ADD), often predict a leakage of gravity into the bulk, implying a weakening of the gravitational coupling at mesoscopic scales. Toroidal Scale Dynamics (TSD) predicts the inverse: a distinct Metric Stiffening (G_eff > G_N) as interaction distances approach the scalar transition threshold. We define the Mesoscopic G-Gap as the range between 1µm and 50µm where the metric warp factor drives the transition from the Newtonian "Outer Rim" to the strong-coupling "Inner Rim." Using the TSD Phase Transition Constant (~0.08), we derive the stiffening function and propose the "Woodward Protocol": a differential density experiment using iso-electronic test masses (Gold vs. Silicon) to isolate the bulk metric signal from the Casimir background. We predict an asymptotic excess attraction of approximately 8% at the 1µm barrier.