{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"7a049d08e4b8d8d550225006f15e6e6fbc41e597ea3c5b979488db867e81eaca","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["15a2eff37ceedb2030df5d9dda135389937e8fca739f8de1f444e41d2f03f269","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"c468671626ebb042be1c3efe98f27a5e2a3fc3763de24d7c30d8d5ff5e7869ca","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":"2","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 $10^{-3}\\,c$, the local amplitude is Rayleigh distributed when the measurement time $T$ is shorter than the coherence time $\\tau_c \\sim 10^{6}\\,h/(m c^2)$. 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":"15a2eff37ceedb2030df5d9dda135389937e8fca739f8de1f444e41d2f03f269","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":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"eabb1bb8c01e48cf819f92871e16f4f910277bad1ddb0efcf24a55c0943e8cc5","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"1e5004c08f56572bc9af431f6e71926b2c73f265f827d4811327fd2920a600cc","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"NR6lpqk8cmurz4HD8l4bSQFdK0QRWetKs1jnx7rZ3LcDp-F69uNMwVAGG7IobGvrsqYRS3nNk_urZm9xMW_IDg"},"schema":"pubphys.envelope/1"},"record_hash":"eabb1bb8c01e48cf819f92871e16f4f910277bad1ddb0efcf24a55c0943e8cc5","leaf_index":2290}