
Abstract We present a deterministic no-refit recast of pulsar-timing array (PTA) line-search limits on ultralight scalar-field dark matter (ULDM) into constraints on a single operational clock-modulation observable, δω_Φ/ω_∞, whose weak-field limit is the standard oscillatory potential amplitude Ψ_c ≡ δΦ_N/c². The construction is recovery-first: in stationary segments we identify the general-relativistic lapse with the normalized carrier phase-rate, N ≡ ω_Φ/ω_∞, so linear perturbations satisfy δω_Φ/ω_∞ ≃ δN ≃ Ψ_c. With cosmological background inputs and the local density prior ρ_DM,loc as external calibrations, all experimental information enters only through published upper-limit curves. Fixing the tested mass sector by the searched line frequency, f_line(m) = 2mc²/h, we map PTA limits into an upper bound f_SF,max(m) on the locally coherent ULDM fraction, without refitting cosmology or introducing a new PTA response model. Using provenance-tracked digitizations and a public figure-regeneration script, we form a conservative envelope across pulsar-correlated (common) PTA datasets and find that, for ρ_DM,loc = 0.43 GeV cm⁻³, a fully coherent local component (f_SF = 1) is excluded for m ∈ [1.04, 6.78] × 10⁻²⁴ eV (equivalently f_line ≈ 5 × 10⁻¹⁰–3 × 10⁻⁹ Hz). Because the constrained quantity is a clock-modulation amplitude, the same observable provides a portable standard for cross-comparing PTA and precision-clock limits under explicitly stated priors.
coherent scalar fields, narrowband signals, ultralight dark matter, clock comparisons, gravitational redshift, pulsar timing arrays, dark sectors
coherent scalar fields, narrowband signals, ultralight dark matter, clock comparisons, gravitational redshift, pulsar timing arrays, dark sectors
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