Making a Universe(Physics of elementary particles and fields)

概要

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For understanding the origin of anisotropies in the cosmic microwave background, rules to construct a quantized universe are proposed based on the dynamical triangulation method of the simplicial quantum gravity. A d-dimensional universe having the disk topology D^d is created in terms of a simplicial manifold with d-simplices as the building blocks. Numerical simulations made mainly for two-dimensional universes are supplemented in order to examine appropriateness of the construction rules through comparing to analytic results of the matrix model and the boundary Liouville theory. Time is defined along the radial direction perpendicular to the boundary surface, and the space coordinates are embeded on the surface with the geodesic distance. Furthermore, a simulation in four-dimension is performed to analyze the observed temperature fluctuation by comparing to the scalar curvature correlation on the S^2-surface formed as the last scattering surface of an S^3 universe.
2007-07-15