{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"d3ad253983e53f06ecc0d57e5fc2e3baddbbc77670f82ed47df77c9179421e12","created":"2026-10-03T07:17:54Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"0c3ae1510c837049b6ac8d72a26e07f7bec5707e3690c5784dbabacba108dcfb","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"amo.ultralight-dm-fifth-forces.stochastic-amplitude","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"A wave-like dark matter field is a sum of many waves with random phases, so its local strength fluctuates. Searches shorter than the field coherence time can be unlucky, and limits must account for this.","posed_since":"","precise":"For a virialized ultralight bosonic field with velocity dispersion about $1e-3\\,c$, the local amplitude is Rayleigh distributed when the measurement time $T$ is shorter than the coherence time $\\tau_c \\sim 1e6\\,h/(m c^2)$. Determine the correct likelihood and the resulting correction factor to exclusion limits for $T < \\tau_c$, including vector polarization and multi-sensor correlations.","problem_ref":null,"references":"","settled_by":"A derivation of the likelihood validated by simulation and adopted across clock, magnetometer and comagnetometer analyses.","status_note":"Stochastic-amplitude corrections of up to an order of magnitude were derived for scalar fields around 2021; vector and multi-sensor cases remain incompletely treated.","title":"Correct treatment of the stochastic dark-matter field amplitude in limits","topic_ref":"65dd591d9a6aea57b124c4aa9efd99b0deceb1c7733b697b5b72544d315d1ba0"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"15a2eff37ceedb2030df5d9dda135389937e8fca739f8de1f444e41d2f03f269","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"06735883130dece9d1f201ffba41010034818a32e7ae4555715010030ae12b24","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"vrqKrmqYNoHYLlSqa_OLt3PwgW46CkucN_BtjW8gOrg63M2i1ef0Gpsp1sr-6uNC_frIWQHhQroYYvvSwxySBg"},"schema":"pubphys.envelope/1"},"record_hash":"15a2eff37ceedb2030df5d9dda135389937e8fca739f8de1f444e41d2f03f269","leaf_index":472}