Spacetime Emergence in the Robertson-Walker Universe from a Matrix model

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dc.creatorErdmenger, Johanna
dc.creatorMeyer, Rene
dc.creatorPark, Jeong-Hyuck
dc.date2007-05-11
dc.date.accessioned2026-07-07T11:16:07Z
dc.date.available2026-07-07T11:16:07Z
dc.descriptionUsing a novel, string theory-inspired formalism based on a Hamiltonian constraint, we obtain a conformal mechanical system for the spatially flat four-dimensional Robertson-Walker Universe. Depending on parameter choices, this system describes either a relativistic particle in the Robertson-Walker background, or metric fluctuations of the Robertson-Walker geometry. Moreover we derive a tree-level M-theory matrix model in this time-dependent background. Imposing the Hamiltonian constraint forces the spacetime geometry to be fuzzy near the big bang, while the classical Robertson-Walker geometry emerges as the Universe expands. From our approach we also derive the temperature of the Universe interpolating between the radiation and matter dominated eras.
dc.description4 pages - accepted for publication in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/0705.1586
dc.identifierhttp://arxiv.org/abs/0705.1586
dc.identifierPhys.Rev.Lett.98:261301,2007
dc.identifierdoi:10.1103/PhysRevLett.98.261301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192561
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSpacetime Emergence in the Robertson-Walker Universe from a Matrix model
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