The Unary Field Theory (UFT) predicts that all deviations from general relativity (GR) in the Solar System are doubly suppressed: by the dimensionless coupling α ∼ κ²v²/MPl² ∼ 10⁻¹² and by the kinematic factor (m_φ r) ². For Solar System scales (r ∼ 1 AU, m_φ = 1. 1 × 10⁻²² eV), the product α (m_φ r) ² ∼ 10⁻¹⁰⁷, rendering scalar field corrections completely negligible. This paper provides the step-by-step derivation of the three classical Solar System tests—Mercury's perihelion precession, the Shapiro time delay, and light deflection—from the UFT metric. All predictions reproduce GR values within current measurement precision: Mercury precession = 42. 98″/century (observed: 42. 977±0. 044″), Shapiro delay = 131. 3 μs (Cassini: 131. 3±10 μs), light deflection = 1. 756″ (VLBI: 1. 745±0. 015″). Crucially, the UFT achieves this GR agreement without screening mechanisms (unlike f (R) or chameleon theories), relying instead on the universal parameter α that also governs galactic dark matter and cosmic acceleration. This provides a seamless transition from local to cosmological scales within a single framework. This is UFT Prediction Paper XIII; the unified framework is in the main paper: Zou (2026), doi: 10. 5281/zenodo. 21186809.
zhiqiang zou (Sun,) studied this question.