Unifying Gravity Structurally: The Stability of G under Quantum Fluctuations

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 G work model computes G from a modulated field δ(x,t),

yielding a value within 0.117% of the CODATA benchmark without parameter

fitting. Systematic validations—including perturbation resilience, linearity to en-

ergy input ϕ2, and consistency across multiple residual models—demonstrate high

robustness, structural stability, and predictive accuracy. Quantum fluctuation sim-

ulations further demonstrate that the derived Gremains stable under Planck-scale

noise, supporting a possible unification of gravitation and quantum behavior. These

results suggest that G may emerge from intrinsic resonance structures rather than

empirical calibration