{"paper":{"title":"Minimal Length and Small Scale Structure of Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Dawood Kothawala","submitted_at":"2013-07-22T08:14:55Z","abstract_excerpt":"Many generic arguments support the existence of a minimum spacetime interval $L_0$. Such a \"zero-point\" length can be naturally introduced in a locally Lorentz invariant manner via Synge's world function bi-scalar $\\Omega(p,P)$ which measures squared geodesic interval between spacetime events $p$ and $P$. I show that there exists a \\emph{non-local} deformation of spacetime geometry given by a \\emph{disformal} coupling of metric to the bi-scalar $\\Omega(p,P)$, which yields a geodesic interval of $L_0$ in the limit $p \\rightarrow P$. Locality is recovered when $\\Omega(p,P) >> L_0^2/2$. I discuss"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5618","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"}