{"id":6441,"date":"2021-08-16T00:00:00","date_gmt":"2021-08-16T07:00:00","guid":{"rendered":"https:\/\/www.hmc.edu\/physics\/research\/publications\/emergent-geometry-through-quantum-entanglement-in-matrix-theories\/"},"modified":"2025-12-19T08:55:52","modified_gmt":"2025-12-19T16:55:52","slug":"emergent-geometry-through-quantum-entanglement-in-matrix-theories","status":"publish","type":"physics_publications","link":"https:\/\/www.hmc.edu\/physics\/research\/publications\/emergent-geometry-through-quantum-entanglement-in-matrix-theories\/","title":{"rendered":"Emergent geometry through quantum entanglement in Matrix theories"},"content":{"rendered":"\n<p>Cameron Gray, Vatche Sahakian*, and William Warfield<\/p>\n\n\n\n<p><a href=\"https:\/\/link.springer.com\/article\/10.1007\/JHEP08(2021)072\">Emergent geometry through quantum entanglement in Matrix theories<\/a><\/p>\n\n\n\n<p>Journal of High Energy Physics 2021, 72 (2021)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>In the setting of the Berenstein-Maldacena-Nastase Matrix theory, dual to light-cone M-theory in a PP-wave background, we compute the Von Neumann entanglement entropy between a probe giant graviton and a source. We demonstrate that this entanglement entropy is directly and generally related to the local tidal acceleration experienced by the probe. This establishes a new map between local spacetime geometry and quantum entanglement, suggesting a mechanism through which geometry emerges from Matrix quantum mechanics. We extend this setting to light-cone M-theory in flat space, or the Banks-Fischler-Shenker-Susskind Matrix model, and we conjecture a new general relation between a certain measure of entanglement in Matrix theories and local spacetime geometry. The relation involves a \u2018c-tensor\u2019 that measures the evolution of local transverse area and relates to the local energy-momentum tensor measured by a probe.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cameron Gray, Vatche Sahakian*, and William Warfield Emergent geometry through quantum entanglement in Matrix theories Journal of High Energy Physics [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","publication_author":[22],"class_list":["post-6441","physics_publications","type-physics_publications","status-publish","hentry","publication_author-sahakian"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications\/6441","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/physics_publications"}],"about":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/types\/physics_publications"}],"author":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/media?parent=6441"}],"wp:term":[{"taxonomy":"publication_author","embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/publication_author?post=6441"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}