{"id":6443,"date":"2019-03-12T00:00:00","date_gmt":"2019-03-12T07:00:00","guid":{"rendered":"https:\/\/www.hmc.edu\/physics\/research\/publications\/emergent-geometry-from-stochastic-dynamics-or-hawking-evaporation-in-matrix-theory\/"},"modified":"2025-12-19T08:59:42","modified_gmt":"2025-12-19T16:59:42","slug":"emergent-geometry-from-stochastic-dynamics-or-hawking-evaporation-in-matrix-theory","status":"publish","type":"physics_publications","link":"https:\/\/www.hmc.edu\/physics\/research\/publications\/emergent-geometry-from-stochastic-dynamics-or-hawking-evaporation-in-matrix-theory\/","title":{"rendered":"Emergent geometry from stochastic dynamics, or Hawking evaporation in M(atrix) theory"},"content":{"rendered":"\n<p>Haoxing Du and Vatche Sahakian*<\/p>\n\n\n\n<p><a href=\"https:\/\/link.springer.com\/article\/10.1007\/JHEP03(2019)061\">Emergent geometry from stochastic dynamics, or Hawking evaporation in M(atrix) theory<\/a><\/p>\n\n\n\n<p>Journal of High Energy Physics 2019, 61 (2021)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>We develop an microscopic model of the M-theory Schwarzschild black hole using the Banks-Fischler-Shenker-Susskind Matrix formulation of quantum gravity. The underlying dynamics is known to be chaotic, which allows us to use methods from Random Matrix Theory and non-equilibrium statistical mechanics to propose a coarse-grained bottom-up picture of the event horizon \u2014 and the associated Hawking evaporation phenomenon. The analysis is possible due to a hierarchy between the various timescales at work. Event horizon physics is found to be non-local at the Planck scale, and we demonstrate how non-unitary physics and information loss arise from the process of averaging over the chaotic unitary dynamics. Most interestingly, we correlate the onset of non-unitarity with the emergence of spacetime geometry outside the horizon. We also write a mean field action for the evolution of qubits \u2014 represented by polarization states of supergravity modes. This evolution is shown to have similarities to a recent toy model of black hole evaporation proposed by Osuga and Page \u2014 a model aimed at developing a plausible no-firewall scenario.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Haoxing Du and Vatche Sahakian* Emergent geometry from stochastic dynamics, or Hawking evaporation in M(atrix) theory Journal of High Energy [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","publication_author":[22],"class_list":["post-6443","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\/6443","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=6443"}],"wp:term":[{"taxonomy":"publication_author","embeddable":true,"href":"https:\/\/www.hmc.edu\/physics\/wp-json\/wp\/v2\/publication_author?post=6443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}