Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-11
Phys.Rev.Lett.98:261301,2007
Physics
High Energy Physics
High Energy Physics - Theory
4 pages - accepted for publication in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.98.261301
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.
Erdmenger Johanna
Meyer Rene
Park Jeong-Hyuck
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