{"paper":{"title":"Action and Observer dependence in Euclidean quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Dawood Kothawala","submitted_at":"2017-05-06T16:42:33Z","abstract_excerpt":"Given a Lorentzian spacetime $(M, g)$ and a non-vanishing timelike vector field $u(\\lambda)$ with level surfaces $\\Sigma$, one can construct on $M$ a Euclidean metric $g_E^{ab} = g^{ab} + 2 u^a u^b$. Motivated by this, we consider a class of metrics $\\hat{g}^{ab} = g^{ab} - \\Theta(\\lambda)\\, u^a u^b$ with an arbitrary function $\\Theta$ that interpolates between the Euclidean ($\\Theta=-2$) and Lorentzian ($\\Theta=0$) regimes. The Euclidean regime is in general different from that obtained from Wick rotation $t \\rightarrow - i t$. For example, if $g_{ab}$ is the $k=0$ Lorentzian de Sitter metric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02504","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"}