{"paper":{"title":"MOND from a brane-world picture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","astro-ph.GA","hep-ph"],"primary_cat":"gr-qc","authors_text":"Mordehai Milgrom","submitted_at":"2018-04-16T12:35:16Z","abstract_excerpt":"I describe a heuristic model where MOND dynamics emerge in a universe viewed as a nearly spherical brane embedded in a higher-dimensional flat space. The brane, described by $\\xi(\\Omega)$, is of density $\\sigma$ ($\\xi$ and $\\Omega$ are the radial and angular coordinates in the embedding space). The brane and matter -- confined to the brane and of density $\\rho(\\Omega)\\ll\\sigma$ -- are coupled to a potential $\\varepsilon(\\xi)$. I restrict myself to shallow perturbations, $\\xi(\\Omega)=\\ell_0+\\zeta(\\Omega)$, $|\\zeta|\\ll\\ell_0$. A balanced brane implies $\\hat a_0\\equiv\\varepsilon'(\\ell_0)\\sim T/\\s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05840","kind":"arxiv","version":3},"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"}