Quantum Harmonic Gravity

We construct and analyze a scalar–fermion–gravity theory defined by a real scalar field H non-minimally coupled to curvature and Yukawa-coupled to fermions. The model is fully specified by a minimal action with three free parameters. We derive all field equations, analyze cosmological solutions, compute observational signatures, and establish falsifiability conditions. Particular emphasis is placed on the prediction of oscillating fermion masses and their detectability via precision spectroscopy.