{"paper":{"title":"Massless particles and the geometry of curves. Classical picture","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.Nersessian","submitted_at":"1999-11-03T19:16:54Z","abstract_excerpt":"We analyze the possibility of description of D-dimensional massless particles by the Lagrangians linear on world-line curvatures k_i,\n {\\cal S}=\\sum_{i=1}^Nc_i\\int k_i d{\\tilde s}.\n  We show, that the nontrivial classical solutions of this model are given by space-like curves with zero 2N-th curvature for N\\leq[(D-2)/2]. Massless spinning particles correspond to the curves with constant k_{N+a}/k_{N-a} ratio.\n  It is shown that only the system with action {\\cal S}=c\\int k_N d{\\tilde s} leads to irreducible representation of Poincar\\'e group. This system has maximally possible number (N+1) of g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9911020","kind":"arxiv","version":1},"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"}