Deriving Newton's Constant from Structural Resonance: A Unit-Invariant Approach

We propose a unit-invariant structural formulation for deriving the gravitational

constant Gfrom residual field dynamics. Based on the Unified Resonant Structure

Formula (URSF), the GworkmodelcomputesGfrom a modulated field δ(x,t), yield-

ing a value within 0.564% of the CODATA benchmark without parameter fitting.

Systematic validations—including perturbation resilience, linearity to energy input

ϕ2, and consistency across multiple residual models—demonstrate high robustness,

structural stability, and predictive accuracy. These results suggest that G may

emerge from intrinsic resonance structures rather than empirical calibration.