{"paper":{"title":"Bouncing evolution in a model of loop quantum gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Cong Zhang, Haida Li, Jerzy lewandowski, Yongge Ma","submitted_at":"2019-04-15T13:50:58Z","abstract_excerpt":"To understand the dynamics of loop quantum gravity, the deparametrized model of gravity coupled to a scalar field is studied in a simple case, where the graph underlying the spin network basis is one loop based at a single vertex. The Hamiltonian operator $\\hat{H}_v$ is chosen to be graph-preserving, and the matrix elements of $\\hat{H}_v$ are explicitly worked out in a suitable basis. The non-trivial Euclidean part $\\hat{H}_v^E$ of $\\hat{H}_v$ is studied in details. It turns out that by choosing a specific symmetrization of $\\hat{H}_v^E$, the dynamics driven by the Hamiltonian gives a picture "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.07046","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"}