Unary Field Theory: The 70-Day Resonance of the Earth's φ-Shroud

The Unary Field Theory (UFT) predicts that the Earth is enveloped by a "φ-shroud"—a local overdensity of the ultralight scalar dark matter field φ (m_φ = 1.1 × 10⁻²² eV) gravitationally bound to the Earth, with coherence length ξ_φ ∼ 845 km. The φ-shroud possesses a quantum-pressure restoring frequency ω_QP = m_φc²/ħ ≈ 1.72 × 10⁻⁷ Hz, corresponding to a resonance period T_QP ∼ 70 days. The lunar tidal forcing (ω_tide ≈ 2.68 × 10⁻⁶ Hz, ratio ω_tide/ω_QP ∼ 15.6) places the shroud in the stiff regime for daily tides, but the frequency-dependent Love number k₂⁽φ⁾(ω) ∝ 1/(ω_QP² − ω²) predicts a resonant enhancement of the solid-Earth tide near 70 days, modulated by lunar nodal (18.61 yr) and perigee (8.85 yr) precession sidebands. The predicted fractional Love-number drift is Δk₂/k₂ ∼ 10⁻⁵–10⁻⁴ in the 50–100 day band, detectable via cross-spectrum analysis of 20+ years of Global Geodynamics Project (GGP) superconducting gravimeter data, complemented by GNSS displacements and SLR/LLR J₂ periodicity. This is UFT Prediction Paper XI; the unified framework is in the main paper: Zou (2026), doi:10.5281/zenodo.21186809.