Spacetime emergence of the robertson-walker universe from a matrix model |
| |
Authors: | Erdmenger Johanna Meyer René Park Jeong-Hyuck |
| |
Affiliation: | Max-Planck-Institut für Physik, 80805 München, Germany. |
| |
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. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|