Spacetime Emergence of the Robertson-Walker Universe from a Matrix Model
Spacetime Emergence of the Robertson-Walker Universe from a Matrix Model
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 …