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

@misc{citeulike:1295348, abstract = {Using 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.}, author = {Erdmenger, Johanna and Meyer, Rene and Park, Jeong-Hyuck }, citeulike-article-id = {1295348}, eprint = {0705.1586}, keywords = {cosmology, matrix}, month = {May}, posted-at = {2007-05-14 16:24:53}, priority = {2}, title = {Spacetime Emergence in the Robertson-Walker Universe from a Matrix model}, url = {http://arxiv.org/abs/0705.1586}, year = {2007} }

TY - ELEC ID - citeulike:1295348 L3 - citeulike-article-id:1295348 N2 - Using 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. TI - Spacetime Emergence in the Robertson-Walker Universe from a Matrix model KW - cosmology KW - matrix AU - Erdmenger, Johanna AU - Meyer, Rene AU - Park, Jeong-Hyuck PY - 2007/May/11/ UR - http://arxiv.org/abs/0705.1586 ER -