{"paper":{"title":"When Can Non-Gaussian Density Fields Produce a Gaussian Sachs-Wolfe Effect?","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Robert J. Scherrer, Robert K. Schaefer","submitted_at":"1994-07-27T17:04:28Z","abstract_excerpt":"The Sachs-Wolfe temperature fluctuations produced by primordial density perturbations are proportional to the potential field \\phi, which is a weighted integral over the density field \\delta. Because of the central limit theorem, \\phi can be approximately Gaussian even when \\delta is non-Gaussian. Using the Wold representation for non-Gaussian density fields, \\delta(\\rvec) = \\int f(|\\rvec - \\rvec^\\prime|) \\Delta(\\rvec^\\prime) d^3 \\rvec^\\prime, we find conditions on \\Delta and f for which \\phi must have a Gaussian one-point distribution, while \\delta can be non-Gaussian. Sufficient (but not nec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9407089","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}