Null Results and Exclusion Limits for Coherence–Gravity and Curvature Couplings

We present numerical null results from systematic parameter sweeps investigating: (i) non-minimal coupling between a coherence field and spacetime curvature (ξ RΦ²), and (ii) novel curvature–electromagnetism interactions (κR R FμνFμν). Configurations tested include coupling strengths ξ ∈ \50, 100\, coherent materials (Rb-87 BEC, Nb superconducting cavity, YBCO cuprate with Φ₀ spanning 3.65×10⁶ to 6.67×10⁸ m⁻¹), and electromagnetic field strengths B ∈ [0.5, 10] T. All measurements yield null signals consistent with numerical baselines (|Δτ| ≈ 5×10⁻¹³ N·m), enabling derivation of exclusion limits on the curvature–EM coupling parameter κR. For $B=10$ T, terrestrial Ricci curvature R=10⁻²⁶ m⁻², and experimental precision δ=10⁻⁶, we constrain κR < 5×10¹⁷ m². This archive includes: - Raw sweep outputs (JSON timestamped files) - Analysis plots (PNG/PDF) - Consolidated tables (CSV, Markdown, LaTeX) - Manuscript source (LaTeX) Code repository: https://github.com/DawsonInstitute/coherence-gravity-coupling